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A Physical Approach to Chaos

  • Hazime Mori
  • Yoshiki Kuramoto

Abstract

The term ‘chaos’ is used in reference to unstable, aperiodic motion in dynamical systems and also to the state of a system which exhibits such motion. Almost any nonequilibrium open system will, when some bifurcation parameter characterizing the system is made sufficiently large, display chaotic behavior. It can be said that chaos is Nature’s universal dynamical form. Chaos is characterized by the coexistence of an infinite number of unstable periodic orbits that determine the form and structure of the chaotic behavior exhibited by any given system. In this chapter we consider the problem of identifying the descriptive signature of such a set of orbits, and we establish the point of view from which we will elucidate the nature of chaos.

Keywords

Periodic Orbit Invariant Manifold Unstable Manifold Chaotic Attractor Fluid Particle 
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 Berlin Heidelberg 1998

Authors and Affiliations

  • Hazime Mori
    • 1
    • 2
  • Yoshiki Kuramoto
    • 3
  1. 1.Kyushu UniversityJapan
  2. 2.Higashi-ku FukuokaJapan
  3. 3.Graduate School of SciencesKyoto UniversityKyotoJapan

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