Dynamical Systems and Methods

Editors: Luo, Albert C. J., Machado, José António Tenreiro, Baleanu, Dumitru (Eds.)

  • 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
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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)


Table of contents (20 chapters)

  • Chaos in a Parametrically Excited Pendulum with Damping Force

    Lu, Chunqing

    Pages 3-27

  • Energy and Nonlinear Dynamics of Hybrid Systems

    Hedrih, Katica R. (Stevanović)

    Pages 29-83

  • Characteristics Diagnosis of Nonlinear Dynamical Systems

    Dai, Liming (et al.)

    Pages 85-103

  • Synchronization of Two Coupled Phase Oscillators

    Wu, Yongqing (et al.)

    Pages 105-113

  • Chaotic Synchronization of Duffing Oscillator and Pendulum

    Luo, Albert C. J. (et al.)

    Pages 115-133

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4614-0454-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4614-0453-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-1-4899-9090-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Dynamical Systems and Methods
Editors
  • Albert C. J. Luo
  • José António Tenreiro Machado
  • Dumitru Baleanu
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-0454-5
DOI
10.1007/978-1-4614-0454-5
Hardcover ISBN
978-1-4614-0453-8
Softcover ISBN
978-1-4899-9090-7
Edition Number
1
Number of Pages
XI, 348
Topics