Nonlinear dynamics and chaos : proceedings of the fourth Physics Summer School, the Australian National University, Canberra, Australia, 7-25 January 1991

書誌事項

Nonlinear dynamics and chaos : proceedings of the fourth Physics Summer School, the Australian National University, Canberra, Australia, 7-25 January 1991

editors, R.L. Dewar & B.I. Henry

World Scientific, c1992

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内容説明・目次

内容説明

Articles in this collection discuss basic concepts and modern developments in the field. Suitable for both theorists and experimentalists.

目次

  • Overview of nonlinear dynamics and chaos, R.H.G. Helleman
  • Hamiltonian dynamics
  • area preserving maps
  • integrability and tori. stability
  • KAM theory and chaos, J.D. Meiss
  • fractal structures in thermal turbulence, I. Procaccia
  • bifurcation theory
  • averaging Melnikov's method
  • fractals and strange attractors, K.J. Palmer
  • dynamical systems
  • hyperbolicity
  • KAM theory
  • maps of a circle and of an annulus, W.A. Coppel
  • dynamics of plasmas an other many-body systems - statistical equations
  • wave interactions and turbulence, C. Oberman
  • application of nonlinear maps to r.f. discharges for plasma processing, and to digital phase locked loops in comunications, A.J. Lichtenberg
  • nonlinear waves in fluids
  • integrability, solitons and chaos
  • triad, quartet and Faraday resonances, R.H.J. Grimshaw
  • university classes in the transition to chaos
  • chaos in economics, management and finance, C.J. Thompson
  • and others.

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