Collapse of tori and genesis of chaos in dissipative systems / Kunihiko Kaneko



Digitised Book 216.73.216.10 (0)

1986

Collapse of tori and genesis of chaos in dissipative systems / Kunihiko Kaneko

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This book aims to show some aspects in the frontier of chaos research, to tell what have not yet been understood and what may lie in the future, and to give a clue to new step in nonlinear science.

Subjects

Nonlinear theories Chaotic behavior in systems Torus (Geometry)

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Additional Details

Title
Collapse of tori and genesis of chaos in dissipative systems / Kunihiko Kaneko
Creators
  • Kaneko, Kunihiko
Subject
  • Nonlinear theories
  • Chaotic behavior in systems
  • Torus (Geometry)
Publisher
  • World Scientific, 1986
  • National Library Board Singapore, 1986
Contributors
Digital Description
application/pdf, ill.
Provenance
Table of Contents
  • ch. 1. Introduction. 1.1 Dawn of nonlinear nonequilibrium physics... -- ch. 2. Instability of phase motion of tori. 2.1 Introduction. 2.2 Structure of lockings... -- ch. 3. Transition from torus to chaos accompanied by frequency lockings with symmetry breaking -- ch. 4. Oscillation and fractalization of tori. 4.1 Introduction. 4.2 Oscillation of torus in two-dimensional mappings... -- ch. 5. Doublings of torus. 5.1 Discovery. 5.2 Doubling stops by a finite number oftimes... -- ch. 6. Fates of three-torus. 6.1 Introduction. 6.2 Three-torus in a four-dimensional mapping - ch. 7. Turbulence in coupled map lattices -- ch. 8. Summary, future problems, and discussions...
Edition
Copyright
  • All Rights Reserved. National Library Board Singapore 2009.