CHAOS 2009

The 2nd Chaotic Modeling and Simulation International Conference 1 - 5 June 2009 Chania Crete Greece

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CHAOS2010

              Special Sessions Proposed


You may send Abstracts/Papers to be included in the following sesions or
propose new sessions including the title and a brief description to the Conference Committee at: secretariat@chaos2009.net



1. Special Session: Fractal Geometry in Biology

The introduction of fundamental concepts and tools of fractal theory in Biosciences has meant a significant progress in the study of complex systems and processes in biomedicine, biophysics, biomathematics, biostatistics, bioinformatics, etc. Specifically, high local variability, shape irregularity, functional and morphological self-similarity, scale invariance, non-integer fractal dimensions, strong-correlations, etc. characterize functional properties and structural features involved in the description of living organisms, cellular activity, cell membranes, human organisms, etc. In this session, the main aim is to provide an overview on recent research in relation to the following topics:
  • How fractal scaling analysis can be applied  to detect brain activity through functional MRI data analysis:
Wavelet, fractals and fMRI of brain activityAmplitude of activation in neural networks of brain
  • Fractal dimension of human electroencephalographic signals
  • Fractal dimension of human cerebellum (CB) measured in magnetic resonance images
  • Imaging methods based on fractal surface-filling or space-filling
  • Fractal geometry in cancer research
  • Wavelets and statistical analysis of FMRI data
  • Fractal organization of cell structures share
  • Fractal genomics modelling
Key words: Cell activity, fractal dimension, fractal MRI data, fractal noise, fractal time series, fractional Brownian motion, fractal networks, fractional integrated noise, fractional random fields, functional data, genomic data, long-range dependence, neural activity, pathological architecture of tumors, self-similarity.

Session Chair: Professor Maria D. Ruiz Medina, Departamento de Estadistica e Investigacion Operativa Universidad de Granada, Granada Spain, E-mail: mruiz@ugr.es
Papers:
1. Fractal functional regression for classification of gene expression data by wavelets
M. Rincon and M.D. Ruiz-Medina
2. Fractal functional filtering and regularization
R. Fernandez-Pascual and M.D. Ruiz-Medina
3. Functional-scalogram-based estimation of partially self-similar spatiotemporal models
Maria Pilar Frias Bustamante and Maria Dolores Ruiz-Medina




2. Special Session: "Epilepsy and spatio-temporal chaos in the brain"
Papers on seizure prediction, seizure control, seizure resetting and hysteresis, and focus localization from real EEG data (recorded from human and/or animal models), as well as biologically plausible mathematical
(simulation) models, would be considered for inclusion in the session.
Session Chair: Leonidas Jasemidis, Arizona State University
Communication at: Leon.Iasemidis@asu.edu




3. Special Session: "Climate Dynamics"
Session Organisers: D M Sonechkin, Oceanology Institute of Russian Academy of Sciences, Moscow, Russia (Email: dsonech@mecom.ru ) and
Valerio Lucarini,
Department of Physics, University of Bologna, Bologna, Italy (Email: lucarini@adgb.df.unibo.it )
Papers on climate dynamics including weather forecasting models would be considered for inclusion in the session.
1. Paper title: "Order in the Weather Chaos"
     P.P. Shirshov Oceanology Institute of Russian Academy of Sciences, Moscow, Russia.
2. Paper title: "On the bifurcations inducing the 40-to-100 kyr transition of the Pliocene/Pleistocene glacial cycles"
     D.M. Sonechkin, N.N. Ivashchenko, N.V. VakulenkoP.P. Shirshov Oceanology Institute of Russian Academy of Sciences, Moscow, Russia


Communication and abstract/paper submission at: secretariat@chaos2009.net



4. Special Session: "Vortex generation and the von Karman vortex streets"
Papers on modeling vortex the von Karman vortex streets, application to the control of the vortex street, stability of solutions along with computer simulations would be considered for inclusion in the session.
Communication and abstract/paper submission at: secretariat@chaos2009.net



5. Special Session: "Chaotic mixing modeling and simulation"
Papers on single- and multi-phase mixing, mixing of complex fluids, suspensions and dispersions, mixing with chemical reaction, mixing and polymerization, mixing and crstallization, laminar and chaotic mixing, mixing through oscillations and pulsations, mixing within fluidic devices, new developments and advances in mixing would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net



6. Special Session: "Nonlinear dynamics to galaxy evolution"
Papers on the theory and simulations of galaxy evolution including applications on chaos in many body systems would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net



7. Special Session: "Nonlinear dynamics and chaos in ecology"
Papers on nonlinear modeling and chaos in ecosystems, 2, 3 and higher dimensional Lotka-Volterra models, nonlinear spatial dynamics, evolution in eco-epidemiological models, would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net



8. Special Session: "Nonlinear and chaotic behaviour in Economy and Markets"
Papers on nonlinear modeling and simulation of economic systems, local and international markets and the stock exchange including the recent economic problems and related oscillations and chaotic behaviour would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net



9. Special Session: "Chemical chaos"
Papers on chemical reaction chaos, Belousov-Zhabotinsky reactions, reaction diffusion patterns, pattern-formation, spatially extended systems and pattern formation, would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net





10. Special Session: "Nonlinear plasma physics"
Papers on plasmas, nonlinear phenomena, waves and turbulence in plasmas and simulations
, would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net



11. Special Session: "Advances in Chaotic Communications: Exact Theory and New Approaches"
Session organiser:
Professor A.J.Lawrance
Department of Statistics, University of Warwick Coventry, CV4 7AL, UK
Email: A.J.Lawrance@warwick.ac.uk

Scope and rationale
This session brings together four lead-authors and several co-authors who have in recent years been advancing chaos-based communication systems. The primary introductory notion of such systems is that chaotic waves replace the conventional sinosoidal waves. This immediately brings the mathematical field of chaos into communication engineering, particularly its less-known statistical aspects. The session will thus be appropriately interdisciplinary and more so by involving two leadauthors from each of the communication and mathematical disciplines through which recent progress has been made. This mixture is beneficial from the point of view of realism of development and the need for accompanying theory to be founded on rigorous probabilistic statistical assumptions and analysis of chaos. Although it has been known quite widely that chaos-based systems offer the potential of high performance and secure systems, see the three recent monographs, Lau
et al. (2003), Tam et al. (2007) and Stavroulakis (2006), their development has been hindered by lack of theory based on adaptable assumptions. The first progress with the theory tended to transfer results from conventional systems and inevitably this overlooked the innovative aspects of the chaos involvement. As the area matures, attention is being given to accurately assessing system performance based on its chaotic and structural assumptions, often though the conventional but the always relevant bit error rate. Conventional theory cannot be employed because in chaos-based systems, bit energy is not constant. This has led to some challenging problems in determining system performance. Previous approximations turned out to be inaccurate, prompting the statisticalexact and simulation-exact bit energy theories which will each be presented in the session.
The session will start with a short introduction to chaos communication and an opening perspective on the four papers to be presented. Abstracts of the talks follow here, but more briefly, Professor Lawrance will talk about the coherent and non-coherent antipodal chaos shift-keying (
CSK) system, examined through discrete-time base-band modelling; he will show how statistical theory can lead to optimum decoders and improvements on correlation decoders, both in single- and multi- user systems. He will illustrate how theoretical development can lead to exact computable bit error rate assessment of correlation and optimal decoders and then to their theoretical lower bounds. Dr Kaddoum will consider the multi-user and coherent chaos-based DS-CDMA system and its correlation and rake decoders, and will focus on the fact that these involve the non-constant bit energy which makes the widely used bit error rate calculations inaccurate for small spreading factors. He will develop both an analytical approach using Raleigh, Nakagami or Rice distribution laws for the bit energy and a simulation approach yielding a bit energy histogram, each of which will be suitably integrated to yield required bit error rate results. This overcomes a long-standing difficulty and misunderstanding about bit energy. Mr Papamarkou will begin by considering a new class of chaotic maps which are aimed at reducing the variability of bit energy in chaos-shift keying, thus moving it towards a conventional system and moving its bit energy near to the theoretical lower bound. He will then take a statistically advanced look at the single-user non-coherent or DCSK system in which additionally a reference signal is transmitted, thus raising some interesting and relevant problems in likelihood decoding. Dr Xu will introduce a promising new chaos-based communication system, called a chaotic cyclic attractor shift-keying (CCASK) system which uses a chaotic cyclic attractor, the aim of which is to eliminate the need for a reference signal. The advantages, present results and further development of this system will be discussed. It can be anticipated that there is likely to be a fruitful interaction between these presentations which should make for an interesting session and future advances.
References
Lau, F.C.M. and Tse, C.K., Chaos-based Digital Communications Systems. Heidelberg: Springer Verlag, 2003.
Stavroulakis, P.,
Chaos Applications in Telecommunications. New York: CRC Press, 2006.
Tam, W.M., Lau, F.C.M. and Tse, C.K.,
Digital Communications with Chaos. Oxford: Elsevier, 2007.

Papers proposed for the Session
Paper 1: Chaos communication: an overview of exact and optimum results using statistical theory
A.J.Lawrance, Department of Statistics, University of Warwick, UK
Paper 2: Asynchronous chaos-based DS-CDMA over multi-path channels: Analytical bit error rate
G. Kaddoum, P. Charge, D. Roviras;
D. Fournier-Prunaret IRIT Laboratory, University of Toulouse
LATTIS Laboratory, University of Toulouse
Paper 3: Two Aspects of Optimum CSK Communication: Spreading and Decoding
T. Papamarkou, Department of Statistics, University of Warwick
Paper 4:
Chaos-based communication utilizing attractor statistic detection
Y. Xu, P. Charge & D. Fournier-Prunaret, LATTIS Laboratory, University of Toulouse

Communication and abstract/paper submission at: secretariat@chaos2009.net




12. Special Session: "Chaos Visualization"

Papers on modeling and illustrating chaotic images along with computer simulations would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net



13. Special Session: "Chaotic Attractors: New models and chaotic forms"
Papers on chaotic attractor formulation including transformation of
classical attractors to new forms and application to various fields, would be considered for inclusion in the session.

Communication and abstract/paper submission at: secretariat@chaos2009.net



14. Special Session: "Large fluctuations and Extremes in Complex systems"
Papers exploring the large fluctuations phenomenon and extremes in various complex systems would be considered for inclusion in the session.

Session Organiser: Valerio Lucarini

Department of Physics
University of Bologna
Bologna, Italy
Email: lucarini@adgb.df.unibo.it


Communication and abstract/paper submission at: secretariat@chaos2009.net


15. Special Session: "Nonlinear dynamics and chaos in engineering applications"
Session organiser: 
Professor Anatoly A. Kolesnikov
Technological Institute of Southern Federal University
Synergetics and Control Processes Department,
Taganrog, Russia

Email: anatoly.kolesnikov@gmail.com
Scope and rationale
The Session is devoted to synergetics theory of system's synthesis. This theory is based on approach of unity for processes of directed self-organization and control in complex dynamics macrosystems. We explore new methods of analytical design of objective control laws providing maximal account of natural (physical, chemical and biological) properties of synthesized nonlinear systems. Aim of the session is spreading among engineers the modern advanced ideas of synergetics and nonlinear dynamics with application to control of complex nonlinear systems of various fields.
Bibliography
1.Kolesnikov A.A. Synergetics and Control Theory Problems. Moscow: Physmathlit, 2004.
2. Kolesnikov A. Synergetics Methods of Complex Systems Control: System Synthesis Theory.
Moscow: URSS, 2006.

Main presentations
1. Anatoly A. Kolesnikov (Professor), Andrew A. Kuzmenko (PhD), Synergetic approach to traditional control laws multi-machine power system modification
2. Alexander A. Kolesnikov (PhD), New model of nonlinear oscillations generators
3. Anatoly A. Kolesnikov (Professor), Nonlinear system's synthesis - the central problem of modern science and technology (plenary report)
4. Anton F. Kononov (Ph.D), Anastasia S. Kapustina. Controlled chaos for secure communications
5. Alexey S. Mushenko (Ph.D), Olga Zenkina. Synergetics control of aircraft lowering while chaotic wind disturbances
6. Anatoly A. Kolesnikov (Professor), Phuong Nguyen (Ph.D). Sinergetics synthesis of amphibian control under heavy sea
7. Gennady E. Veselov (Proffesor). Synergetics control of multilinked robotics systems (plenary report)
8. Vilor L. Zakovorotny (Professor). System dynamical rebuilding interacting with environment during its evolution (plenary report)
9. Anatoly A. Kolesnikov, Victor A. Kobzev, Leonid G. Fortinov. Natural treatments to humanity, hydro aviation and synergatics
10. A.Ya. Bondarets, O.D. Kreerenko. The neural networks application for estimation of wheels braking actual parameters for an airplane  on the runway covered with precipitations
11. N.V. Kuznetsov, G.A. Leonov, and S.M. Seledzhi. Complicated behavior of dynamical systems. Mathematical methods and computer experiments
12. Leonty K. Samoylov, The account of influence of time delays of processing of signals in digital control systems
13. Leonty K. Samoylov, Dmitry S. Samoilov. Dynamic generalization of cartographical maps
14. Stanislav L. Belyakov, Marina L. Belyakova. Handle of self-descriptiveness of network cartographical tools
15. A.A. Potapov, A.A. Pahomov. The methods of the digital processing of small-contrast scenes for the real-time recognizing system
16. Anatoly A. Kolesnikov (Professor). Nonlinear system�s synthesis � the central problem of modern science and technology: synergetics conception. Parts I, II, III (in three separate papers)
17. Alexander A. Potapov. Fractals and Fractal Operators for Non-Linear Radio Physics Problems: Fractal Radio Systems Designing
18. A.V. Laktyunkin, A.A. Potapov. Frequency and Spatial Features of Waves Scattering on Fractals
19. A.A. Potapov, E.N. Matveev. Modelling and computation of fractal antennas: circle monopole, the life-flower antenna



16. Special Session: " Chaotic dynamics at the origins, and questions pertaining to gravitational waves"
Papers exploring the chaotic dynamics at the origins, and questions pertaining to gravitational waves would be considered for inclusion in the session.

Session Organiser: Andrew Beckwith

FNAL/APS
USA
Email:
abeckwith@uh.edu


Communication and abstract/paper submission at: secretariat@chaos2009.net


17. Special Session: " Extreme values in financial markets"
Papers exploring the extreme values phenomenon in financial markets would be considered for inclusion in the session.

Session Organiser: Thomas Schwiertz

Financial RM Consulting

Germany
Email:
thomasschwiertz@email.de

Scope and rationale
In Financial Markets usually price fluctuations are modelled via Gaussian random walks. Especially in Financial Risk Management financial institutions are bound to Gaussian models due to regulatory rules and laws. The current Financial Crisis is just another well known empirical demonstration to use more sophisticated models: Extreme Value Statistics, truncated Levy Flights, stochastic volatilities etc. Nevertheless more sophisticated does not mean more accurate. In this special session we show results of the industry's practices of nonlinear processes that money and interest rates go and that have a chaotic character along with the stochastic part by mean of stochastic fluctuations.
Communication and abstract/paper submission at: secretariat@chaos2009.net


18. Special Session-Workshop: "Multiscalar Neurodynamics - from Physiology to Systems Theory"
Topics Include:

Neurodynamics at different temporal and spatial scales

Oscillations, resonance, synchronization, noise effects

Periodic limit cycles vs.chaos

Coupling between individual neurons: electrotonic (gap junction) - synapses

Networks, different brain areas - heterogeneity of neurons and their connections

Comparison and analysis of different simulation approaches:

HH-type models, simplified approaches (Fitzhugh Nagumo)

Comparison with other chaotic oscillators (Roessler, Chua, Plasma...)

Session Organisers:
Hans Braun, University of Marburg, Germany. Email:
braun@staff.uni-marburg.de
Hans Liljenstrom, SLU and Agora for Biosystems, Sweden. Email:
hans.liljenstrom@et.slu.se

Scope and rationale
The objective of this session is to bring together different theoretical and experimental approaches for a better understanding of the nonlinear neurodynamics related to cognitive and autonomic brain functions.  This implies elucidating the functionally relevant interdependencies between the different organisational levels and time scales of brain dynamics - from ion channels to neurons to networks to system functions of specific brain nuclei and their interconnections.

At this session, we intend to present network dynamics of different complexity, realized with different types of model neurons and couplings, in order to examine the system's reaction to external stimuli and noise. We want to elucidate the dependence on networks structure and connectivity, as well as on intrinsic properties of the individual elements.  

Specific emphasis will be put on the analysis of phase transitions between different types of oscillatory and chaotic activity, and their impact on the system's sensitivity, resonances and synchronization. Neuron based models shall be compared with more general approaches and physical systems to evaluate to which extent principle characteristics of system's control can be applied to neuronal dynamics.

The ideas and results should be of interest to both basic neuroscience and clinical applications.   

Communication and abstract/paper submission at braun@staff.uni-marburg.de and hans.liljenstrom@et.slu.se
Further information from: secretariat@chaos2009.net



19. Special Session: "Modelling and Forecasting of Weather Processes: Chaos and Nonlinearity"
Papers exploring the Modelling and Forecasting of Weather Processes by investigating Chaos and Nonlinearity would be considered for inclusion in the session.
Session Organiser: Dr. Prashant Goswami
CSIR Center for Mathematical Modelling and Computer Simulation (C-MMACS)
goswami@cmmacs.ernet.in

Scope and rationale
As thermo-mechanical, multi-phase systems, Weather processes are characterized by strong non-linearities and scale interactions. These effects limit the range and skill of forecasting at different scales. The Conference will examine scientific as well as implemetational issues involved; the topics of presentation will include, but not limited to:

     Intrinsic variability and Predictability
     Data Assimilation in presence of non-linearity
     Probabilistic and Ensemble  Forecast
     Non-linear scale interaction in weather processes
     Numerical issues

Communication and abstract/paper submission at: goswami@cmmacs.ernet.in and secretariat@chaos2009.net



20. Special Session: "Modeling risk assessment for nuclear, environment and manmade sources"
Papers exploring the Modelling of risk assessment from nuclear, environment and manmade sources would be considered for inclusion in the session.

Session Organiser: Papers exploring the Modelling of risk assessment from nuclear, environment and manmade sources would be considered for inclusion in the session.
Session Organiser:

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Prof. Alexander Valyaev
Division of Ecological Safety and Radiation Risk  Nuclear Safety Institute, 52 B. Tulskaya, Moscow, Russia
E-mail: anvalyaev@mail.ru
Topics selected for this session
  1. Stochastic  models of migration and propagation of chemicals and radionuclides in different media
  2. Migration of impurities under stationary and extreme  responses  from natural and manmade sources
  3. Spatial and temporal prediction of  ecological  and radiation situation. Assessment of levels of confidence for main characterized  corresponding parameters on examples for some real situations 
  4. Assessment of dangerous levels for  different  natural and manmade objects, including for realization of possible directed terrorism acts, with possible using of explosives, their risk's values, resulted from different responses on environment and population.
  5. Development of prevention and softening measures for reducing of harmful impurities' responses in accordance of impact levels.

Communication and abstract/paper submission at: anvalyaev@mail.ru and secretariat@chaos2009.net



21. Special Session: "Role of Dimensionality in Physics"
Papers exploring the Modelling of risk assessment from nuclear, environment and manmade sources would be considered for inclusion in the session.

Session Organiser: Papers exploring the Role of Dimensionality in Physics would be considered for inclusion in the session.
Session Organiser: Prof. Alfred Inselberg
School of Mathematical Sciences, Tel Aviv Univerisity, Israel
E-mail: aiisreal@post.tau.ac.il
Scope and rationale
Understanding the underlying geometry of multidimensinal problems provides insight into what is possible and what is not. In an astonishing, but not well known result, the physicist Ehrenfest showed in 1917 that planetary orbits are stable only in space of dimension 3. Higher dimensional planetary systems, if they existed, would have had a short carreer. Another dimensional curiosity is that rotating rigid bodies have an axis of rotation only in odd-integer dimensions. Papers emphasizing the intuitive rather than technical aspects are invited on Chaotic Phenomena, Turbulence, Phenomena in High Dimensions, Plasma, Parity, Relativity and other fields where dimensionality plays a key and interesting role. The goal is to stimulate lively brain-storming in the afterMATH.
 
 
Communication and abstract/paper submission at: aiisreal@post.tau.ac.il  and  secretariat@chaos2009.net




22. Special Session: "Innovation society - correlation of self-organization and management"
Session Chair: Professor Vycheslav L. Romanov
Session Co-Chair:
 
Professor Anatoly A. Kolesnikov
Email: anatoly.kolesnikov@gmail.com
Scope and rationale
Special session devotes to discussing the problem of synergetics approach to social administration. The problem is that modern societies are in period of complex innovative transformations and swiftly submerge into state of unstable equilibrium.  In such situations two competing paradigms suffer crisis: self-organizing (market) and controlled ordering in the society. We propose to discuss the conception of innovation of social administration based on idea of dynamical regulation for correlation of part of self-organization and part of administration in social ordering tool (directed social self-organization).
Main presentations
    1.    Yulia Zubok, Vladimir Chuprov. Risks: Institutional and Self-regulating Management Mechanisms
    2.    Tatiana A. Kolesnikova (Ph.D), Natalya A. Kolesnikova. The problem of social self-organization of modern risk society: Social
    invariants attractors 
    3.    Vladimir Beduev. The design and implementation of the fundamentally new system of the professional management of state
    affairs is a vital need in terms of the global system crisis. 
    4.    V.S. Polikarpov, E.V. Polikarpova. Selforganization and management in development of innovation society 
    5.    V.S. Polikarpov, I.V. Lysiak. The technology of management in everyday life of innovative society

   6.   Marina Maksimova. Innovations in synergetics of socio-humanitarian processes


23. Special Session: "Information Geometry and Disorder"
Scope and rationale

Information geometry is a body of theory that allows smooth families of probability density functions to be represented by Riemannian manifolds. In these spaces the metric structure is a natural distance given by the covariance matrix of the gradient of the log-likelihood function, so it owes its heritage to information theoretic maximum entropy criteria.

 

In the context of transitions through constrained disorder towards chaotic behaviour, certain smooth families of probability density functions have recurring presence in representing state evolution trajectories: for example, Poisson, exponential and gamma distributions and bivariate cases.  Their information geometry turns out to be surprisingly tractable and it provides geometric tools for comparing trajectories and in particular for quantifying progress.

 

Papers exploring the context of information geometry and its role in representing approaches to  disorder would be considered for inclusion in the session.

Communication and abstract/paper submission at ctdodson@manchester.ac.uk  
Further information from: secretariat@chaos2009.net


Session Chair:
Professor C.T.J. Dodson
Emeritus Professor of Mathematics, Manchester University
www.maths.man.ac.uk/kd/homepage/dodson.html 

Presentations

C.T.J. Dodson  On the entropy flows to disorder.




24. Special Session: "Transportation systems"
Papers exploring the transportation systems theory and applications would be considered for inclusion in the session.
Session Chair:
Professor Dr. Jozsef Rohacs
Department of Aircraft and Ships, Budapest University of Technology and Economics
Budapest, Hungary
Email: rohacs@rht.bme.hu
Scope and rationale
Modelling the real transportation systems, vehicle motion models, safety problems of the transportation systems, operator behaviours, non-linear, active dynamic models, stochastic models, chaos,  subjective analysis

Communication and abstract/paper submission at: rohacs@rht.bme.hu ; secretariat@chaos2009.net

Further information from: secretariat@chaos2009.net




25. Special Session: "Quantum chaos in physics of atoms, molecules, nuclei and particles"
Papers on chaotic dynamics of atomic, nuclear, molecular systems, stochastic phenomena in electric, magnetic and laser field, chaos in quantum many-body systems, including chaos manifestation in nuclear and particles physics, numerical simulation with using computational methods of modern theory of chaos, multi-fractal geometry and wavelet-analysis, would be considered for inclusion in the session.
Session Chair:
Professor Alexander Glushkov 
Odessa (Odessos) University, Odessa, Ukraine
Email: glushkov@paco.net
Papers
1. A.V. Glushkov. Stochastic photon-correlation effects and quantum chaos in atomic and nuclear 
2. A.V. Glushkov, V. Khokhlov, N. Serbov, A. Svinarenko, Yu. Bunyakova.
Non-linear prediction method in short-range forecast of atmospheric pollutants: Low-dimensional chaos
3. A.A. Svinarenko, A.V. Glushkov, N. Serbov and T. Lukash.
The sea and ocean 3D acoustic waveguide: stochastic modeling and chaos phenomena
4. A.V. Ignatenko. Chaotic phenomenon in a multi-wave ionization of non-Rydberg atoms
5. O.Yu. Khetselius.
Atomic parity non-conservation  in atoms and dynamical enhancement of weak interaction: Quantum chaos
6. A.V. Loboda. Quantum stochastic modeling of energy transfer and an account of the rotational and  V-T relaxation effect in multi-photon excitation and dissociation of molecules
7. A.V. Loboda, A. Fedchuk, N.V. Mudraya, T.Perelygina. Quantum computation of populations dynamics of the resonant levels for atomic ensembles in a laser pulse: optical bi-stability effect

Communication and abstract/paper submission at: glushkov@paco.net; secretariat@chaos2009.net

Further information from: secretariat@chaos2009.net



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