BIFURCATION THEORY AND APPLICATIONS by Tian Ma
This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics.The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation.With this new notion of bifurcation, many longstanding bifurcation problems in science and engineering are becoming accessible, and are treated in the second part of the book. In particular, applications are covered for a variety of PDEs from science and engineering, including the Kuramoto-Sivashinsky equation, the Cahn-Hillard equation, the Ginzburg-Landau equation, reaction-diffusion equations in biology and chemistry, the Benard convection problem, and the Taylor problem. The applications provide, on the one hand, general recipes for other applications of the theory addressed in this book, and on the other, full classifications of the bifurcated attractor and the global attractor as the control parameters cross certain critical values, dictated usually by the eigenvalues of the linearized problems. It is expected that the book will greatly advance the study of nonlinear dynamics for many problems in science and engineering.-
Chaos in Nature
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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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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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A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE, A (VOLUME II)
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A 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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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
| SKU | Unavailable |
| ISBN 13 | 9789812563521 |
| ISBN 10 | 9812563520 |
| Title | BIFURCATION THEORY AND APPLICATIONS |
| Author | Shouhong Wang |
| Series | World Scientific Series On Nonlinear Science Series A |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | World Scientific Publishing Co Pte Ltd |
| Year published | 2005-06-28 |
| Number of pages | 392 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |