QUASI-CONSERVATIVE SYSTEMS: CYCLES, RESONANCES AND CHAOS by Albert D Morozov
This monograph presents the theory of nonconservative systems close to nonlinear integrable ones. With the example of concrete quasi-conservative systems close to nonintegrable ones, the results of numerical analysis are given, and the problem of applying the small parameter method is analyzed.The fundamantal part of the book deals with the investigation of the perturbable systems. Both autonomous and nonautonomous (periodic in time) systems are considered. The global analysis of systems close to the two-dimensional Hamiltonian ones takes a central place in the text. This global analysis includes the solution to problems such as the limit cycles, resonances, and nonregular dynamics. For the autonomous systems, one should note the analysis of the standard (Duffing and pendulum) equations including the solution to the weakened 16 Hilbert's problem, and for the nonautonomous systems one should note the mathematical foundations of the theory of synchronization of oscillations (the existence of new regimes, and the passage of invariant tori across the resonance zones under the change of detuning). The presentation is accompanied by examples.-
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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NEW METHODS FOR CHAOTIC DYNAMICS
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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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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 | 9789810228101 |
| ISBN 10 | 9810228104 |
| Title | QUASI-CONSERVATIVE SYSTEMS: CYCLES, RESONANCES AND CHAOS |
| Author | Albert D Morozov |
| Series | World Scientific Series On Nonlinear Science Series A |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | World Scientific Publishing Co Pte Ltd |
| Year published | 1998-07-02 |
| Number of pages | 340 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |