1. Introduction
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1.A. Chaos and Nonlinear Dynamics (60 pages)
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Nonlinear dynamics of continuous, discontinuous and hybrid systems
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Bogdan Epureanu, Dept of Mech Engineering
University of Michigan, Ann Arbor, MI, USA
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Nonlinear dynamics and chaos in engineering applications
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System Augmentation for Sensing: Theory and Applications
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Qualitative and quantitative analysis of nonlinear dynamic systems
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Complex dynamical systems
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Classical Deterministic Chaos
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Numerical and geometrical methods in nonlinear dynamics
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1.B. Dynamical processes: theory and applications (50 pages)
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Differential equations and new transforms applications
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A.G. Ramm, Kansas State University
Kansas, USA
Valerio Lucarini, Meteorological Institute
University of Hamburg, Germany
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Nonlinear fractional partial differential equations
Large-time behavior of solutions to nonlinear evolution equations
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Integral equations and applications
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Topological dynamics
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Asymptotic Methods
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Chaotic network dynamics
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Response theory and Lyapunov exponents
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Lyapunov covariant vectors
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1.C. Computational Aspects (50-80 pages)
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Computer aided symbolic methods in dynamics
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Bogdan Epureanu, Univ of Michigan, Ann Arbor, MI, USA
Paul Meehan,Mechanical and Mining Eng
The University of Queensland, Australia
Gennady A. Leonov-Nikolay Kuznetsov
Saint-Petersburg State University, Russia
Shijun Liao
State Key Lab of Ocean Engineering
Dept. of Mathematics
Shanghai Jiao Tong University
Shanghai, China
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Symmetries and perturbation methods
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Quantifying Attractor Morphing by Sensitivity Vector Fields
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Applications of chaos in mechanics: across spacecraft, mining, trains and brains
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Numerical visualization of attractors:
self-exciting and hidden attractors
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Evolutionary computation to chaotic Systems
The clean numerical simulations of chaos and its application
Numerical Simulations
Applications
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1.D. Chaos: critical behavior and universality (50 pages)
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Phase diagrams
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Avadis Hacinliyan
Department of Physics, Yeditepe University, Kayisdagi, Istanbul, Turkey
Gennady A. Leonov-Nikolay Kuznetsov
Saint-Petersburg State University, Russia
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Bifurcation theory
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Analysis of bifurcations and chaos
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Hopf Bifurcation, sequence of period-doubling bifurcations and chaos
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Chaotic models and attractors (Logistic, Hénon, Lorenz, Rössler,...)
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Lyapunov functions
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1. E. Fractals (50 pages)
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Fractals and self-similarity (The Cantor set, the Sierpinski carpet,…)
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V. P. Drakopoulos
Department of Informatics & Telecommunications
University of Athens
Athens, Greece
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Fractals and the problem of dimension
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Julia sets and Mandelbrot sets
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Growing fractals, images and shapes
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Fractal curves, functions and images: An iterated journey to complex dynamics through compression and interpolation
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1.F. Synchronization and control of dynamical systems (60 pages)
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Identical synchronization
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Stability and Bifurcations of Synchronized, Mutually Coupled Chaotic Systems
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Stability for Coupled, Chaotic Systems
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Synchronizing with Functions of the Dynamical Variables
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1.G. Chaos in the Driven Damped Oscillators (60 pages)
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Chaos in the Forced Damped Oscillators with Analytical Nonlinearities
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Mikhail V. Zakrzhevsky
Institute of Mechanics,
Riga Technical University, Riga, Latvia
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Chaos in the Forced Damped Piece-wise Linear Oscillators
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Dynamical Chaos in the Forced Damped Pendulum Oscillators
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1.H. Limited Power Supply Non-ideal Systems and Deterministic Chaos (60 pages)
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Systems with limited power-supply (non-ideal systems as manifestations of Sommerfeld – Kononenko effect) and applications Numerical techniques of investigation of deterministic chaos in non-ideal systems.
Non-ideality as main reason of origination of chaos
Peculiarities of chaotic behaviour of some non-ideal systems (pendulum systems, electroelastic systems, low-dimensional hydromechanics systems)
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Aleksandr Yu. Shvets
National Technical University of Ukraine "Kyiv Polytechnic Institute
Kyiv, Ukraine
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2. Stochastic Chaos (40 pages)
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Stochastic Chaos versus Deterministic
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Christos H Skiadas, Technical University of Crete, Chania, Crete, Greece
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Bifurcation to stochastic chaos
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Stochastic global bifurcation in perturbed Hamiltonian systems
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Stochastic chaos in Fokker-Planck equations
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Stochastic chaos and its control
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Bifurcation and Chaotic Analysis of Stochastic Duffing System
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Stochastic chaos: an analogue of quantum chaos
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Heterogeneity and stochastic chaos in stock markets
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Stochastic chaos in Ecology
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The transition from deterministic chaos to a stochastic process
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Chaotic Transitions in Deterministic and Stochastic Dynamical Systems
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Stochasticity and deterministic chaos
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Nonlinear Stochastic Systems
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3. Spatiotemporal Chaos (60-80 pages)
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Reaction diffusion patterns
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Paul Manneville
LadHyX, Hydrodynamics Laboratory, CNRS UMR7646, École Polytechnique - Palaiseau, France
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Rayleigh-Bénard convection
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Von Karman vortex streets
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Nonlinear pattern dynamics and the Ginzburg-Landau formalism
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Spatiotemporal intermittency
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Phase instabilities and phase turbulence (the Kuramoto-Sivashinsky equation)
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Chemical reaction chaos -Belousov-Zhabotinsky reactions
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4. Data Analysis and Chaos (50 pages)
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Analysis of chaotic data
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Avadis Hacinliyan
Department of Physics, Yeditepe University, Kayisdagi, Istanbul, Turkey
Alexander V. Glushkov
Odessa State University-OSENU, Odessa, Ukraine
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Chaos and time-series analysis
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Principal Component Analysis and Chaos
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Chaos Theory Methods in Nonlinear Forecasting of Dynamical Systems Evolution
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Chaos and innovation
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Polynomial chaos
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Embedding chaos
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5. Hydrodynamics and Turbulence (50 pages)
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Turbulence
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Diego Angeli
DIEF - Dipartimento di Ingegneria "Enzo Ferrari", Università degli Studi di Modena e Reggio Emilia, Modena, Italy
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Turbulent Transport and Simulation
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Reliable numerical modelling of complex dynamics in confined thermal flows
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Entropy of particles on a turbulent sea
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Fluid Mechanics and Turbulence
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Chaotic advection
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Chaotic advection in oscillatory flows
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6. Optics and Chaos (30 pages)
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Nonlinear optics
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Vladimir L. Kalashnikov,
Institut für Photonik, TU Wien,
Wien Austria
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The optical rogue waves
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Laser optics and chaos
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The Ikeda attractor
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Quantum chaos
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7. Chaotic Oscillations and Circuits (60-80 pages)
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Chaotic delay equations
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Leszek Sirko
Institute of Physics, Polish Academy of Sciences, Warszawa, Poland
Gennady A. Leonov- Nikolay Kuznetsov
Saint-Petersburg State University, Russia
Banlue Srisuchinwong
Sirindhorn Int Institute of Technology , (SIIT)
Bangkadi Thammasat University,Thailand
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Chaotic communication
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Chaotic oscillators
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Phenomena and criteria of chaotic oscillations
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Isoscattering microwave networks
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Nonlinear Vibrations and Applications
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Van der Pol oscillators
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Chaotic synchronization
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SHILNIKOV Chaos
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CHUA’S oscillators
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Synchronization and delay between signals
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Nonlinear filtering and communication
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Chaotic Circuits Based on a Diode
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Chaos and multi channel communication
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8. Chaos in Climate Dynamics (30 pages)
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Chaos in simplified Climate Models (The Lorenz model)
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Weather forecasts
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Earth's climate
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9. Geophysical Flows (40 pages)
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Geodesic flows
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S.V. Prants
Pacific Oceanological Institute of the Russian Academy of Sciences,
Vladivostok, Russia
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Spatially extended systems
Chaotic mixing in the ocean
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Nonlinear dynamics of ocean flows
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Spatiotemporal pattern formation and chaos
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Vortex ripples in sand
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Coupled map lattice and spatiotemporal pattern formation
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Self-Organized criticality
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Multifractal geophysics
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10. Biology and Chaos (30 pages)
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Computational Biology and Chaos
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Fractal geometry in Biology
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Chaos control in Biology
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Nonlinear dynamics of protein folding
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Biomechanics
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11. Neurophysiology and Chaos (30 pages)
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Neurons and Chaos
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Chaos in the Brain
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Chaos in the Heart
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Neurocomputation
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Parameter estimation for neuron models
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12. Quantum chaos and Hamiltonian Systems (40 pages)
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Chaotic interference versus decoherence: external
noise, state mixing and quantum-classical
correspondence
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Valentin V. Sokolov
Budker Institute of Nuclear Physics
Theory Department
Novosibirsk, Russia
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Flow equations for Hamiltonians
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Hamiltonian and Quantum Chaos
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13. Chaos in Astronomy and Astrophysics (50-70 pages)
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Chaos in the Solar system
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Alexander Kholtygin
Astronomical Institute, Saint-Petersburg University, Saint-Petersburg, Russia
N. Jevtic
Bloomsburg University, Bloomsburg, PA, USA
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N-body Chaos
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Dynamics and Optimization of Multibody Systems
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Chaos in Galaxies
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The Hénon-Heiles system
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Order and chaos in galaxies
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Galaxy simulations
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Applications of Chaos Theory: Nonlinear Time Series Analysis of Kepler Space Telescope Variable-Star Data
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14. Chaos in Plasma Physics (50 pages)
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Dynamics of plasmas and chaos
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Dan-Gheorghe Dimitriu
Faculty of Physics
“Alexandru Ioan Cuza” University of Iasi, Romania
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Complex space charge structures in plasma
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Oscillations and instabilities in plasma
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Laser ablation plasma
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15. Chaos and Solitons (40 pages)
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Integrable Systems and Solitons
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The Korteweg de Vries equation
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Bifurcation and chaos in the generalized Korteweg-de Vries equation
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The generalized KdV-Burgers' equation
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The Zakharov-Kuznetsov equation
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The sine-Gordon equation
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The generalized Burgers-Huxley equation
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Darboux transformations for soliton equations
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16. Micro- and Nano- Electro-Mechanical Systems (30-50 pages)
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Electrospun Nanofibers and applications
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D. Laroze
Max Planck Institute for Polymer Research, Mainz, Germany
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Nonlinear phenomena in electrospinning
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Complex Dynamics of parametrically driven magnetic systems
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Micro egg-shaped product via electrospinning
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17. Neural Networks (50 pages)
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Discrete-time recurrent neural networks
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John Oommen
School of Computer Science, Carleton University
Ottawa, ON, Canada
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THE SCIENCE AND ART OF CHAOTIC PATTERN RECOGNITION
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Delayed neural networks
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Fuzzy neural networks
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Fuzzy control
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18. Chaos, Ecology and Economy and Society (60 pages)
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Bifurcations and chaos in ecology
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Ihor Lubashevsky
The University of Aizu,, Fukushima, Japan
Marisa Faggini, Dipart di Scienze Economiche e Statistiche, University of Salerno – Fisciano, Italy
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Dynamical Traps Caused by Human Fuzzy Rationality
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Nonlinear dynamics in spatial systems
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Evolution on eco-epidemiological systems
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Surviving chaos and change
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Why Economics Hasn’t Accomplished What Physics Has?
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Oscillations and chaos in dynamic economic models
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Control of chaotic population dynamics
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Sustainable development
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19. Algorithmic Music Composition (20-30 pages)
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Chaotic compositions
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Scott McLaughlin
University of Leeds (UK)
Dimitrios Sotiropoulos, Technical University of Crete, Chania, Crete, Greece
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Nonlinear models and compositions
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Deterministic or stochastic models of algorithmic compositions
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Mathematical analysis of compositions and applications
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Compositions with geometric forms
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20. Population Growth: Equilibrium and Chaos in New Extensions of the Verhulst Model (30-50 pages)
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The Verhulst Model
The Logistic Parabola, Period Doubling and Self-Similar Symbolic Dy- namics
Periodic Windows Enbedded in Chaos
Differential Models Tied to the Beta Function
Cummulants and Population Dynamics
BetaBoop Functions and Extreme Value Growing Laws
Stability and Population Equilibrium
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Dinis Pestana
Department of Statistics and. Operational Research,
University of Lisbon
Lisbon, Portugal
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21. Chaos in Language (20 pages)
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Language development
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Dimitrios Sotiropoulos,
Technical University of Crete, Chania, Crete, Greece
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Phonological development
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Language learning
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Second language acquisition
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Language structure
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Diego Angeli
DIEF - Dipartimento di Ingegneria "Enzo Ferrari", Università degli Studi di Modena e Reggio Emilia, Modena, Italy
Dan-Gheorghe Dimitriu
Faculty of Physics
“Alexandru Ioan Cuza” University of Iasi, Romania
V. P. Drakopoulos
Department of Informatics & Telecommunications
University of Athens
Athens, Greece
Bogdan Epureanu
Department of Mechanical Engineering
University of Michigan
Ann Arbor, MI, USA
Marisa Faggini
Dipartimento di Scienze Economiche e Statistiche
University of Salerno – Fisciano, Italy
Alexander V. Glushkov
Odessa State University-OSENU, Odessa, Ukraine
Avadis Hacinliyan
Department of Physics, Yeditepe University, Kayisdagi, Istanbul, Turkey
N. Jevtic
Bloomsburg University, Bloomsburg, PA, USA
Vladimir L. Kalashnikov,
Institut für Photonik, TU Wien,
Wien Austria
Alexander Kholtygin
Astronomical Institute, Saint-Petersburg University,
Saint-Petersburg, Russia
D. Laroze
Max Planck Institute for Polymer Research, Mainz, Germany
Gennady A. Leonov
Saint-Petersburg State University, Russia
Shijun Liao
State Key Lab of Ocean Engineering
Dept. of Mathematics
School of Naval Architecture, Ocean and Civil Engineering Shanghai Jiao Tong University, Shanghai, China
Ihor Lubashevsky
The University of Aizu,
Fukushima, Japan
Valerio Lucarini
Meteorological Institute
University of Hamburg
Hamburg Germany
Paul Manneville
LadHyX, Hydrodynamics Laboratory, CNRS UMR7646, École Polytechnique - Palaiseau, France
Scott McLaughlin
University of Leeds (UK)
Paul Meehan
Mechanical and Mining Engineering
The University of Queensland, Australia
John Oommen
School of Computer Science, Carleton University
Ottawa, ON, Canada
Dinis Pestana
Department of Statistics and. Operational Research,
University of Lisbon
Lisbon Portugal
S.V. Prants
Pacific Oceanological Institute of the Russian Academy of Sciences,
Vladivostok, Russia
A.G. Ramm
Kansas State University
Kansas, USA
Aleksandr Yu. Shvets
National Technical University of Ukraine "Kyiv Polytechnic Institute
Kyiv, Ukraine
Leszek Sirko
Institute of Physics, Polish Academy of Sciences, Warszawa, Poland
Valentin V. Sokolov
Budker Institute of Nuclear Physics
Theory Department
Novosibirsk, Russia
Charilaos Skiadas
Hanover College,
Hanover, IN, USA
Christos H Skiadas
Technical University of Crete, Chania, Crete, Greece
Dimitrios Sotiropoulos,
Technical University of Crete, Chania, Crete, Greece
Banlue Srisuchinwong
Sirindhorn International Institute of Technology (SIIT)
Bangkadi Thammasat University
Bangkadi Muang, Pathum-Thani Thailand
Mikhail V. Zakrzhevsky
Institute of Mechanics,
Riga Technical University
Riga, Latvia
