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Complex Motions and Chaos in Nonlinear Systems

  • Book
  • © 2016

Overview

Editors:
  1. Valentin Afraimovich

    1. San Luis Potosi University, San Luis Potosi, Mexico

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  2. José António Tenreiro Machado

    1. Institute of Engineering, Polytechnic of Porto, Porto, Portugal

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  3. Jiazhong Zhang

    1. School of Energy&PowerEngineering, Xi’an Jiaotong University, Shaanxi Province, China

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  • Presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, nonlinear dynamics in fluid and thermal dynamics, nonlinear geophysical dynamics, time-delay, and bio-network dynamics
  • Analyzes methods for discontinuous dynamical systems
  • Examines singularities in fluid and thermal dynamics and their bifurcation analysis
  • Illustrates analysis and control of nonlinear dynamical systems with practical applications

Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 15)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Detection of Quasi-Periodic Processes in Experimental Measurements: Reduction to an “Ideal Experiment”

    • R. R. Nigmatullin
    Pages 1-37

  3. Some Singularities in Fluid Dynamics and Their Bifurcation Analysis

    • Jiazhong Zhang, Yan Liu
    Pages 39-73

  4. Finite-Element Analysis of Nonlinear Fluid–Membrane Interactions Using a Modified Characteristic-Based Split (CBS) Scheme

    • Xu Sun, Jiazhong Zhang
    Pages 75-105

  5. Lock-In Behaviors of an Airfoil with Local Excitation in Low-Reynolds-Number Flow

    • Wei Kang, Xiangyan Dai
    Pages 107-135

  6. Nanosecond Pulsed Plasma Flow Control: Progress and Problems

    • Yun Wu, Min Jia, Hua Liang, Huimin Song, Yinghong Li
    Pages 137-171

  7. Hidden dimensions in an Hamiltonian system on networks

    • Sarah de Nigris, Xavier Leoncini
    Pages 173-202

  8. Input-Output Mechanism of the Discrete Chaos Extension

    • Marat Akhmet, Mehmet Onur Fen
    Pages 203-233

  9. Steady state solution for a Rayleigh’s piston in a temperature gradient

    • Simon Villain-Guillot
    Pages 235-245

  10. Analytical Period-m Motions in a Parametric, Quadratic Nonlinear Oscillator

    • Albert C. J. Luo, Bo Yu
    Pages 247-258

  11. Periodic Motions to Chaos in Duffing Oscillator via Discretization Technique

    • Yu Guo, Albert C. J. Luo
    Pages 259-276
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Keywords

About this book

This book brings together 12 chapters on a new stream of research examining complex phenomena in nonlinear systems—including engineering, physics, and social science. Complex Motions and Chaos in Nonlinear Systems provides readers a particular vantage of the nature and nonlinear phenomena in nonlinear dynamics that can develop the corresponding mathematical theory and apply nonlinear design to practical engineering as well as the study of other complex phenomena including those investigated within social science.

Editors and Affiliations

  • San Luis Potosi University, San Luis Potosi, Mexico

    Valentin Afraimovich

  • Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    José António Tenreiro Machado

  • School of Energy&PowerEngineering, Xi’an Jiaotong University, Shaanxi Province, China

    Jiazhong Zhang

Bibliographic Information

  • Book Title: Complex Motions and Chaos in Nonlinear Systems

  • Editors: Valentin Afraimovich, José António Tenreiro Machado, Jiazhong Zhang

  • Series Title: Nonlinear Systems and Complexity

  • DOI: https://doi.org/10.1007/978-3-319-28764-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-28762-1Published: 03 May 2016

  • Softcover ISBN: 978-3-319-80418-7Published: 27 May 2018

  • eBook ISBN: 978-3-319-28764-5Published: 22 April 2016

  • Series ISSN: 2195-9994

  • Series E-ISSN: 2196-0003

  • Edition Number: 1

  • Number of Pages: VIII, 276

  • Number of Illustrations: 3 b/w illustrations, 37 illustrations in colour

  • Topics: Complexity, Engineering Fluid Dynamics, Applications of Nonlinear Dynamics and Chaos Theory

  • Industry Sectors: Aerospace

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