A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

  • Elbert E. N. Macau

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 22)

Table of contents

  1. Front Matter
    Pages i-viii
  2. M. S. Bruzón, M. L. Gandarias, R. de la Rosa
    Pages 7-26
  3. María Luz Gandarias, María de los Santos Bruzón, María Rosa
    Pages 27-50
  4. Emanuel V. Chimanski, Caroline G. L. Martins, Roman Chertovskih, Erico L. Rempel, Marisa Roberto, Iberê L. Caldas et al.
    Pages 69-87
  5. Marcio Eisencraft, João V. C. Evangelista, Rafael A. Costa, Rodrigo T. Fontes, Renato Candido, Daniel P. B. Chaves et al.
    Pages 109-129
  6. Gonzalo Marcelo Ramírez-Ávila, Jürgen Kurths, Stéphanie Depickère, Jean-Louis Deneubourg
    Pages 131-156
  7. Shannon Dee Algar, Thomas Stemler, Michael Small
    Pages 157-175
  8. Francisco Aparecido Rodrigues
    Pages 177-196
  9. Reik V. Donner, Michael Lindner, Liubov Tupikina, Nora Molkenthin
    Pages 197-226
  10. Back Matter
    Pages 227-228

About this book


This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls.

·         Introduces new concepts for understanding and modeling complex systems;

·         Explains risk reduction management in complex systems;

·         Examines the symmetry group approach to understanding complex systems;

·         Illustrates the relation between transient chaos and crises.


Nonlinear differential systems Chaos and complexity Chaotic systems Complex systems Risk management in complex systems Nonlinear systems Transient chaos Barriers in Hamiltonian systems Symmetry group Nonlinear signal processing Synchronization

Editors and affiliations

  • Elbert E. N. Macau
    • 1
  1. 1.Instituto Nacional de Pesquisas Espaciais – INPESão José dos CamposBrazil

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-78511-0
  • Online ISBN 978-3-319-78512-7
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • Buy this book on publisher's site
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