This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.
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This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.
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First Sentence:
Coupled map lattices (CML) are basic models for the time evolution of nonlinear systems which, above all, are extended in space or involve many individual units. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
desynchronization transition, neap lattices, intermingled basins, uncoupled map, lattice dynamical systems, monotone dynamics, resonant tongues, overdamped dynamics, coupled map lattices, riddled basins, infinite system size, coupled dynamical systems, global orbit, genetic regulatory networks, winding ratio, spatial chaos, transverse stability, global coupling, spectral gap, gradient dynamics, twist map, phase oscillators, coupled maps, hyperbolic set, trapping region Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lasota Yorke, New York, Notes Phys, Springer-Verlag Berlin Heidelberg, Age of Maturity, Cambridge University Press, World Scientific, Centre de Physique, Networks of Coupled Neurons, Cambridge Philos, Journal of Theoretical Biology, North Holland, San Luis Potosi, Academic Press, Boca Raton, Bulletin of Mathematical Biology, Miller Huse, Spatially Extended Monotone Mappings, Verduyn Lunel New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Coupled map lattices (CML) are basic models for the time evolution of nonlinear systems which, above all, are extended in space or involve many individual units. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
desynchronization transition, neap lattices, intermingled basins, uncoupled map, lattice dynamical systems, monotone dynamics, resonant tongues, overdamped dynamics, coupled map lattices, riddled basins, infinite system size, coupled dynamical systems, global orbit, genetic regulatory networks, winding ratio, spatial chaos, transverse stability, global coupling, spectral gap, gradient dynamics, twist map, phase oscillators, coupled maps, hyperbolic set, trapping region Key Phrases - Capitalized Phrases (CAPs): (learn more)
Lasota Yorke, New York, Notes Phys, Springer-Verlag Berlin Heidelberg, Age of Maturity, Cambridge University Press, World Scientific, Centre de Physique, Networks of Coupled Neurons, Cambridge Philos, Journal of Theoretical Biology, North Holland, San Luis Potosi, Academic Press, Boca Raton, Bulletin of Mathematical Biology, Miller Huse, Spatially Extended Monotone Mappings, Verduyn Lunel New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 35
books:
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17
books
cite this book:
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- Differential Equations and Dynamical Systems by J.K. Hale on page 263
- Quantum State Estimation (Lecture Notes in Physics) by Matteo Paris in Back Matter
- Lectures on Chaotic Dynamical Systems (Ams/Ip Studies in Advanced Mathematics) by V. S. Afraimovich on page 177
- Quantum Gravity (International Series of Monographs on Physics) by Claus Kiefer in Back Matter
- Directions in Chaos (World Scientific Series on Directions in Condensed Matter Physics) by B. L. Hao on page 29
See all 35 books this book cites
- Models for Polymeric and Anisotropic Liquids (Lecture Notes in Physics) by Martin Kröger in Back Matter
- Magnetism: A Synchrotron Radiation Approach (Lecture Notes in Physics) by Eric Beaurepaire in Back Matter
- Quantum Coherence: From Quarks to Solids (Lecture Notes in Physics) by Walter Pötz in Back Matter
- Lasers and Nuclei: Applications of Ultrahigh Intensity Lasers in Nuclear Science (Lecture Notes in Physics) by Heinrich Schwoerer in Back Matter
- Relativistic Dynamics of a Charged Sphere: Updating the Lorentz-Abraham Model (Lecture Notes in Physics) by Arthur Yaghjian in Back Matter
See all 17 books citing this book
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