Nonlinear Systems and Complexity

Discontinuity and Complexity in Nonlinear Physical Systems

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

  • Provides Lie group analysis with nonlinear self-adjointess and conservation laws
  • Presents computational methods and control in fractional calculus
  • Discusses discontinuous dynamics and chaos in drilling systems and vibro-impact systems
  • Illustrates the mechanism and dynamics of shock waves and dynamical stability
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Hardcover $129.00
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  • ISBN 978-3-319-01410-4
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Softcover $129.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-3-319-37534-2
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity analysis.  Part III examines chaos and periodic motions in discontinuous dynamical systems, extensively present in a range of systems, including piecewise linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.

About the authors

José António Tenreiro Machado is Professor, Institute of Engineering, Polytechnic of Porto, Portugal; Dumitru Baleanu is Professor, Department of Mathematics and Computer SciencesCankaya University, Turkey;  Albert Luo is Professor of Mechanical ngineering, Southern Illinois University/Edwardsville, USA

Table of contents (24 chapters)

  • Nonlinear Self-Adjointness for some Generalized KdV Equations

    Gandarias, M. L. (et al.)

    Pages 3-21

  • Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations

    Bruzón, M. S.

    Pages 23-34

  • Some Analytical Techniques in Fractional Calculus: Realities and Challenges

    Baleanu, Dumitru (et al.)

    Pages 35-62

  • Application of the Local Fractional Fourier Series to Fractal Signals

    Yang, Xiao-Jun (et al.)

    Pages 63-89

  • Parameter Optimization of Fractional Order PI λ D μ Controller Using Response Surface Methodology

    İskender, Beyza Billur (et al.)

    Pages 91-105

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-01411-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-01410-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-3-319-37534-2
  • Free shipping for individuals worldwide
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
Discontinuity and Complexity in Nonlinear Physical Systems
Editors
  • J. A. Tenreiro Machado
  • Dumitru Baleanu
  • Albert C. J. Luo
Series Title
Nonlinear Systems and Complexity
Series Volume
6
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01411-1
DOI
10.1007/978-3-319-01411-1
Hardcover ISBN
978-3-319-01410-4
Softcover ISBN
978-3-319-37534-2
Series ISSN
2195-9994
Edition Number
1
Number of Pages
XIII, 433
Number of Illustrations and Tables
79 b/w illustrations, 87 illustrations in colour
Topics