DISCRETE SYSTEMS WITH MEMORY by Ramon Alonso-Sanz
Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions.It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian: only the actual configuration is taken into account to generate the next one.Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced.The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.-
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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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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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 | 9789814343633 |
| ISBN 10 | 9814343633 |
| Title | DISCRETE SYSTEMS WITH MEMORY |
| Author | Ramon Alonso-Sanz |
| Series | World Scientific Series On Nonlinear Science Series A |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | World Scientific Publishing Co Pte Ltd |
| Year published | 2011-03-08 |
| Number of pages | 480 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |