© 2012

Dynamical Systems and Methods

  • Albert C.J. Luo
  • José António Tenreiro Machado
  • Dumitru Baleanu

Table of contents

  1. Front Matter
    Pages i-xi
  2. Nonlinear Dynamical Systems

    1. Front Matter
      Pages 1-1
    2. Katica R. (Stevanović) Hedrih
      Pages 29-83
    3. Yongqing Wu, Changpin Li, Weigang Sun, Yujiang Wu
      Pages 105-113
    4. Albert C. J. Luo, Fuhong Min
      Pages 115-133
    5. Tilemahos J. Kalvouridis
      Pages 135-150
  3. Mathematical Methods

    1. Front Matter
      Pages 151-151
    2. Constantin Bota, Bogdan Căruntu, Liviu Bereteu
      Pages 169-177
    3. M. I. Timoshin
      Pages 179-190
    4. Constantin Udrişte, Andreea Bejenaru
      Pages 191-213
    5. Erdal Karapinar
      Pages 227-243
  4. Nonlinear Physics

    1. Front Matter
      Pages 255-255
    2. Constantin Udrişte, Romeo Bercia
      Pages 269-289
    3. A. K. Banerjee, A. Vanav Kumar, V. Kumaran
      Pages 291-299

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.
  • 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.


Chua’s Circuit Complex Dynamics in Physics Dynamical Symmetry of Second-Order ODE Hybrid Nonlinear Systems Nonlinear Dynamical Systems Symbolic Computation

Editors and affiliations

  • Albert C.J. Luo
    • 1
  • José António Tenreiro Machado
    • 2
  • Dumitru Baleanu
    • 3
  1. 1.Edwardsville, School of EngineeringSouthern Illinois UniversityEdwardsvilleUSA
  2. 2.Institute of Engineering, Department of Electrical EngineeringPolytechnic Institute of PortoPortoPortugal
  3. 3.Faculty of Art and Sciences, Mathematics and Computer SciencesCankaya UniversityAnkaraTurkey

Bibliographic information


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)