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On Instability Leading to Chaos in Dynamical Systems

Published online by Cambridge University Press:  12 April 2016

L.M. Saha
L.M. Saha*
Affiliation:
Department of Mathematics, Zakir Husain College, Ajmeri Gate, New Delhi-110006, India

Abstract

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Instability of orbits in dynamical systems leading to chaos has been reviewed briefly. Stability criteria for some unimodal mapping which provide various periodic regimes during the period doubling bifurcations has been discussed in detail. Stability conditions are reviewed for standard map (or Chirikov-Taylor map), and results obtained for range of values of the non-linear parameter appearing in the map have been studied. Strange attractor has also been discussed.

Type
Part I Chaos
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 47 - 60
Copyright
Copyright © Nova Science Publishers 1993

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