Permutation Complexity in Dynamical Systems by Jos Amig
The study of permutation complexity can be envisioned as a new kind of symbolic dynamics whose basic blocks are ordinal patterns, that is, permutations defined by the order relations among points in the orbits of dynamical systems.
Since its inception in 2002 the concept of permutation entropy has sparked a new branch of research in particular regarding the time series analysis of dynamical systems that capitalizes on the order structure of the state space. Indeed, on one hand ordinal patterns and periodic points are closely related, yet ordinal patterns are amenable to numerical methods, while periodicity is not.
Another interesting feature is that since it can be shown that random (unconstrained) dynamics has no forbidden patterns with probability one, their existence can be used as a fingerprint to identify any deterministic origin of orbit generation.
This book is primarily addressed to researchers working in the field of nonlinear dynamics and complex systems, yet will also be suitable for graduate students interested in these subjects. The presentation is a compromise between mathematical rigor and pedagogical approach. Accordingly, some of the more mathematical background needed for more in depth understanding has been shifted into the appendices.
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Stochastic Methods
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Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences
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Nonlinear Resonances
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Critical Phenomena in Natural Sciences
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Patterns and Interfaces in Dissipative Dynamics
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Neural and Synergetic Computers
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Computational Systems — Natural and Artificial
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Quantum Signatures of Chaos
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Chaotic Flows
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Dynamics of Nonlinear Time-Delay Systems
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Stochastic Foundations in Movement Ecology
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Random Walks and Diffusions on Graphs and Databases
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Analysis of Neurophysiological Brain Functioning
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Multistability in Physical and Living Systems
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Complex Hamiltonian Dynamics
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Dynamical Problems in Soliton Systems
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Extracting Knowledge From Time Series
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On Self-Organization
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Limits of Predictability
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Phase Resetting in Medicine and Biology
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Synchronization
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Reaction-Transport Systems
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Brain Dynamics
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Dimensions and Entropies in Chaotic Systems
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Instabilities and Chaos in Quantum Optics
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Concepts and Models of a Quantitative Sociology
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Synergetics — From Microscopic to Macroscopic Order
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Structural Stability in Physics
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Inside Versus Outside
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The Kinetic Theory of Electromagnetic Processes
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Synergetics of Measurement, Prediction and Control
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Self-Organization and Management of Social Systems
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Dynamics of Hierarchical Systems
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Physics of Bioenergetic Processes
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Modelling the Dynamics of Biological Systems
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Brain Function and Oscillations
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Temporal Disorder in Human Oscillatory Systems
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Numerical Methods in the Study of Critical Phenomena
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Self-Organization
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Foundations of Synergetics II
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Asymptotic Approaches in Nonlinear Dynamics
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Temporal Order
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Synergetics
From the reviews:
“This book describes a study of permutation complexity …The book is aimed primarily at researchers in nonlinear dynamics and complex systems, but it is also accessible to graduate students.” (William J. Satzer jun, Zentralblatt MATH, Vol. 1197, 2010)| SKU | Unavailable |
| ISBN 13 | 9783642262890 |
| ISBN 10 | 3642262899 |
| Title | Permutation Complexity in Dynamical Systems |
| Author | Jos Amig |
| Series | Springer Series In Synergetics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2012-05-04 |
| Number of pages | 280 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |