Overview
- Covers transfer energy for hybrid systems in nonlinear dynamics
- Presents, for the first time in one volume, Chua’s Circuit containing passive components of a Memristor and adaptive synchronization in chaotic secure communication systems using Chua’s Circuit
- Discusses complex mathematical models such as Invex energy on Riemannian manifolds, finite Toda lattic, dynamical symmetry of second-order ODE and symbolic computation of conservation laws
- Includes supplementary material: sn.pub/extras
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Table of contents (20 chapters)
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Nonlinear Dynamical Systems
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Mathematical Methods
Keywords
About this book
Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3rd Conference on Nonlinear Science and Complexity(NSC), focusing on energy transfer and synchronization in hybrid nonlinear systems. The studies focus on fundamental theories and principles,analytical and symbolic approaches, computational techniques in nonlinear physical science and mathematics. Broken into three parts, the text covers: Parametrical excited pendulum, nonlinear dynamics in hybrid systems, dynamical system synchronization and (N+1) body dynamics as well as new views different from the existing results in nonlinear dynamics, mathematical methods for dynamical systems including conservation laws, dynamical symmetry in nonlinear differential equations and invex energies and nonlinear phenomena in physical problems such as solutions, complex flows, chemical kinetics, Toda lattices and parallel manipulator.
This book is useful to scholars, researchers and advanced technical members of industrial laboratory facilities developing new tools and products.
Reviews
From the reviews:
“The reviewed proceedings of the 3rd conference in nonlinear science and complexity is devoted to dynamical systems and their applications to nonlinear phenomena in natural sciences, paying attention both to fundamental theories and principles and analytical and computational techniques in nonlinear physical science and mathematics. … The book is useful for theoretical mathematicians and physicists as well as for applied mathematicians, especially those interested in nonlinear phenomena.” (Boris V. Loginov, Zentralblatt MATH, Vol. 1244, 2012)
Editors and Affiliations
Bibliographic Information
Book Title: Dynamical Systems and Methods
Editors: Albert C.J. Luo, José António Tenreiro Machado, Dumitru Baleanu
DOI: https://doi.org/10.1007/978-1-4614-0454-5
Publisher: Springer New York, NY
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-1-4614-0453-8Published: 29 September 2011
Softcover ISBN: 978-1-4899-9090-7Published: 28 November 2014
eBook ISBN: 978-1-4614-0454-5Published: 30 September 2011
Edition Number: 1
Number of Pages: XI, 348
Topics: Vibration, Dynamical Systems, Control, Classical and Continuum Physics, Mathematical Modeling and Industrial Mathematics, Computational Science and Engineering