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Chaotic dynamics of weakly nonlinear systems

  • D. M. Vavriv
Part I: Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 457)

Abstract

The progress made in recent years in the study of chaotic states of weakly nonlinear systems is reviewed. We concern with the class of chaotic states pertaining to physical systems with any degree of nonlinearity however small. The conditions for, and the mechanisms of, the transition to chaos are discussed for the weakly nonlinear oscillators and compared with that for the strongly nonlinear ones. Considerable attention is given to analytical methods of the chaos onset prediction. The dynamics of Duffing-type oscillators is considered to illustrate these results.

Keywords

Phase Portrait Chaotic Dynamics Unstable Manifold Strange Attractor Period Doubling Bifurcation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • D. M. Vavriv
    • 1
  1. 1.Radio Astronomy Institute of the Ukrainian Academy of SciencesKharkovUkraine

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