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A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

✍ Scribed by Elbert E. N. Macau

Publisher
Springer International Publishing
Year
2019
Tongue
English
Leaves
232
Series
Nonlinear Systems and Complexity 22
Edition
1st ed.
Category
Library
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✦ Synopsis

This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls.

· Introduces new concepts for understanding and modeling complex systems;

· Explains risk reduction management in complex systems;

· Examines the symmetry group approach to understanding complex systems;

· Illustrates the relation between transient chaos and crises.

✦ Table of Contents

Front Matter ....Pages i-viii
From Nonlinear Dynamics to Complex Systems: Introduction (Elbert E. N. Macau)....Pages 1-5
An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws (M. S. Bruzón, M. L. Gandarias, R. de la Rosa)....Pages 7-26
On Symmetries and Conservation Laws for a Generalized Fisher–Kolmogorov–Petrovsky–Piskunov Equation (María Luz Gandarias, María de los Santos Bruzón, María Rosa)....Pages 27-50
Tunable Orbits Influence in a Driven Stadium-Like Billiard (André L. P. Livorati)....Pages 51-67
Intermittency and Transport Barriers in Fluids and Plasmas (Emanuel V. Chimanski, Caroline G. L. Martins, Roman Chertovskih, Erico L. Rempel, Marisa Roberto, Iberê L. Caldas et al.)....Pages 69-87
An Investigation of the Chaotic Transient for a Boundary Crisis in the Fermi-Ulam Model (Edson D. Leonel, Murilo F. Marques)....Pages 89-108
New Trends in Chaos-Based Communications and Signal Processing (Marcio Eisencraft, João V. C. Evangelista, Rafael A. Costa, Rodrigo T. Fontes, Renato Candido, Daniel P. B. Chaves et al.)....Pages 109-129
Modeling Fireflies Synchronization (Gonzalo Marcelo Ramírez-Ávila, Jürgen Kurths, Stéphanie Depickère, Jean-Louis Deneubourg)....Pages 131-156
From Flocs to Flocks (Shannon Dee Algar, Thomas Stemler, Michael Small)....Pages 157-175
Network Centrality: An Introduction (Francisco Aparecido Rodrigues)....Pages 177-196
Characterizing Flows by Complex Network Methods (Reik V. Donner, Michael Lindner, Liubov Tupikina, Nora Molkenthin)....Pages 197-226
Back Matter ....Pages 227-228

✦ Subjects

Engineering; Complexity; Applications of Nonlinear Dynamics and Chaos Theory; Mathematical Modeling and Industrial Mathematics; Vibration, Dynamical Systems, Control

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