NEW METHODS FOR CHAOTIC DYNAMICS by Nikolai Alexandrovich Magnitskii
This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments.The transition is described from the Feigenbaum cascade of period doubling bifurcations of the original singular cycle to the complete or incomplete Sharkovskii subharmonic cascade of bifurcations of stable limit cycles with arbitrary period and finally to the complete or incomplete homoclinic cascade of bifurcations.The book presents a distinct view point on the principles of formation, scenarios of occurrence and ways of control of chaotic motion in nonlinear dissipative dynamical systems. All theoretical results and conclusions of the theory are strictly proved and confirmed by numerous examples, illustrations and numerical calculations.-
CELLULAR NEURAL NETWORKS, MULTI-SCROLL CHAOS AND SYNCHRONIZATION
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2-D QUADRATIC MAPS AND 3-D ODE SYSTEMS: A RIGOROUS APPROACH
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ROBUST CHAOS AND ITS APPLICATIONS
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DEVELOPMENT OF MEMRISTOR BASED CIRCUITS
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BIFURCATION THEORY AND APPLICATIONS
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MATHEMATICAL MECHANICS: FROM PARTICLE TO MUSCLE
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DISCRETE SYSTEMS WITH MEMORY
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BIO-INSPIRED EMERGENT CONTROL OF LOCOMOTION SYSTEMS
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NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE, A (VOLUME II)
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GALLERY OF CHUA ATTRACTORS, A (WITH DVD-ROM)
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EQUATIONS OF PHASE-LOCKED LOOPS: DYNAMICS ON CIRCLE, TORUS AND CYLINDER
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DIFFERENTIAL GEOMETRY APPLIED TO DYNAMICAL SYSTEMS (WITH CD-ROM)
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BIFURCATIONS AND CHAOS IN PIECEWISE-SMOOTH DYNAMICAL SYSTEMS: APPLICATIONS TO POWER CONVERTERS, RELAY AND PULSE-WIDTH MODULATED CONTROL SYSTEMS, AND HUMAN DECISION-MAKING BEHAVIOR
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BIFURCATIONS IN PIECEWISE-SMOOTH CONTINUOUS SYSTEMS
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PHYSARUM MACHINES: COMPUTERS FROM SLIME MOULD
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SYMMETRY AND COMPLEXITY: THE SPIRIT AND BEAUTY OF NONLINEAR SCIENCE
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APPLIED NONLINEAR TIME SERIES ANALYSIS: APPLICATIONS IN PHYSICS, PHYSIOLOGY AND FINANCE
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QUASI-CONSERVATIVE SYSTEMS: CYCLES, RESONANCES AND CHAOS
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COUPLED PHASE-LOCKED LOOPS: STABILITY, SYNCHRONIZATION, CHAOS AND COMMUNICATION WITH CHAOS
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MODELING, ANALYSIS AND CONTROL OF DYNAMICAL SYSTEMS WITH FRICTION AND IMPACTS
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CONTINUOUS AND DISCONTINUOUS PIECEWISE-SMOOTH ONE-DIMENSIONAL MAPS: INVARIANT SETS AND BIFURCATION STRUCTURES
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METHODS OF QUALITATIVE THEORY IN NONLINEAR DYNAMICS (PART I)
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CHAOS AND COMPLEXITY IN NONLINEAR ELECTRONIC CIRCUITS
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MODELING LOVE DYNAMICS
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CONTROL OF IMPERFECT NONLINEAR ELECTROMECHANICAL LARGE SCALE SYSTEMS: FROM DYNAMICS TO HARDWARE IMPLEMENTATION
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WAVE MOMENTUM AND QUASI-PARTICLES IN PHYSICAL ACOUSTICS
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UNIVERSALITY AND EMERGENT COMPUTATION IN CELLULAR NEURAL NETWORKS
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DYNAMICAL CHAOS, MODELS AND EXPERIMENTS: APPEARANCE ROUTES AND STRU OF CHAOS IN SIMPLE DYNA SYSTEMS
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HOPF BIFURCATION ANALYSIS: A FREQUENCY DOMAIN APPROACH
| SKU | Unavailable |
| ISBN 13 | 9789812568175 |
| ISBN 10 | 9812568174 |
| Title | NEW METHODS FOR CHAOTIC DYNAMICS |
| Author | Sergey Vasilevich Sidorov |
| Series | World Scientific Series On Nonlinear Science Series A |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | World Scientific Publishing Co Pte Ltd |
| Year published | 2006-10-05 |
| Number of pages | 384 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |