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Nonlinear Physical Science
cover

Bifurcation Dynamics in Polynomial Discrete Systems

Authors: Luo, Albert C. J.

  • Is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems
  • Discusses appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in 1-dimensional polynomial discrete systems
  • Provides a new methodology for singularity analysis in nonlinear discrete systems, such as big data analysis and data-driving dynamical system analysis
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eBook $129.00
price for USA in USD
  • The eBook version of this title will be available soon
  • Due: November 27, 2020
  • ISBN 978-981-15-5208-3
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
Hardcover $169.99
price for USA in USD
  • 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 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: October 30, 2020
  • ISBN 978-981-15-5207-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
About this book

This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems. 


About the authors

Prof. Albert C. J. Luo is a Distinguished Research Professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on mechanics, dynamics and mechanical vibration, and he has published over 40 books, and more than 200 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He now serves as Co-editor of the Journal of Applied Nonlinear Dynamics and Editor of various book series, including “Nonlinear Systems and Complexity,” and “Nonlinear Physical Science.”


Buy this book

eBook $129.00
price for USA in USD
  • The eBook version of this title will be available soon
  • Due: November 27, 2020
  • ISBN 978-981-15-5208-3
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover $169.99
price for USA in USD
  • 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 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: October 30, 2020
  • ISBN 978-981-15-5207-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Bibliographic Information

Bibliographic Information
Book Title
Bifurcation Dynamics in Polynomial Discrete Systems
Authors
Series Title
Nonlinear Physical Science
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
Higher Education Press
eBook ISBN
978-981-15-5208-3
DOI
10.1007/978-981-15-5208-3
Hardcover ISBN
978-981-15-5207-6
Series ISSN
1867-8440
Edition Number
1
Number of Pages
XI, 429
Number of Illustrations
61 illustrations in colour
Topics

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