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Nonlinear Dynamics New Directions

Theoretical Aspects

  • Book
  • © 2015

Overview

  • Presents a rigorous treatment of fluctuations in dynamical systems and explores a range of topics in fractal analysis, among other fundamental topics
  • Features recent developments on large deviations for higher-dimensional maps, a study of measures resisting multifractal analysis and a overview of complex Kleninan groups
  • Includes thorough review of recent findings that emphasize new development prospects
  • Includes supplementary material: sn.pub/extras

Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 11)

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Table of contents (9 chapters)

Keywords

About this book

This book, along with its companion volume, Nonlinear Dynamics New Directions: Models and Applications, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others.

This book also:

· Presents a rigorous treatment of fluctuations in dynamical systems and explores a range of topics in fractal analysis, among other fundamental topics

· Features recent developments on large deviations for higher-dimensional maps, a study of measures resisting multifractal analysis and a overview of complex Kleninan groups

· Includes thorough review of recent findings that emphasize new development prospects

Editors and Affiliations

  • Autonomous University of San Luis Potosí, San Luis Potosi, Mexico

    Hernán González-Aguilar, Edgardo Ugalde

Bibliographic Information

  • Book Title: Nonlinear Dynamics New Directions

  • Book Subtitle: Theoretical Aspects

  • Editors: Hernán González-Aguilar, Edgardo Ugalde

  • Series Title: Nonlinear Systems and Complexity

  • DOI: https://doi.org/10.1007/978-3-319-09867-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-09866-1Published: 26 March 2015

  • Softcover ISBN: 978-3-319-36257-1Published: 06 October 2016

  • eBook ISBN: 978-3-319-09867-8Published: 09 March 2015

  • Series ISSN: 2195-9994

  • Series E-ISSN: 2196-0003

  • Edition Number: 1

  • Number of Pages: X, 219

  • Number of Illustrations: 15 b/w illustrations, 15 illustrations in colour

  • Topics: Complexity, Control, Robotics, Mechatronics, Dynamical Systems and Ergodic Theory

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