Editors:
- Presents recent advances in discontinuous and nonlinear dynamical systems, chaos, and complexity science
- Develops the corresponding mathematical theory to apply nonlinear design to practical engineering
- Provides methods for mathematical models with switching, thresholds, and impulses
- Represents a new step into the understanding of complex dynamical systems and the relation between their structure and functions
Part of the book series: Nonlinear Physical Science (NPS)
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Table of contents (11 chapters)
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Front Matter
About this book
This book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions.
The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics.The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background).
Editors and Affiliations
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Department of Mathematics and Statistics, Texas Tech University, Lubbock, USA
Dimitri Volchenkov
About the editor
Bibliographic Information
Book Title: Nonlinear Dynamics, Chaos, and Complexity
Book Subtitle: In Memory of Professor Valentin Afraimovich
Editors: Dimitri Volchenkov
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-981-15-9034-4
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Higher Education Press 2021
Hardcover ISBN: 978-981-15-9033-7Published: 15 December 2020
Softcover ISBN: 978-981-15-9036-8Published: 16 December 2021
eBook ISBN: 978-981-15-9034-4Published: 14 December 2020
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: VIII, 198
Number of Illustrations: 43 b/w illustrations, 23 illustrations in colour
Topics: Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Complex Systems, Applications of Nonlinear Dynamics and Chaos Theory