Maximal Lyapunov exponent at crises

Vishal Mehra and Ramakrishna Ramaswamy
Phys. Rev. E 53, 3420 – Published 1 April 1996
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Abstract

We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behavior, showing abrupt variation as a function of the control parameter as the system passes through the crisis point, either in the value itself, in the case of an attractor-widening crisis, or in the slope, for an attractor-merging crisis. The distribution of local Lyapunov exponents is very different for the two cases: the fluctuations remain constant through a merging crisis, but there is a dramatic increase in the fluctuations at a widening crisis.

  • Received 13 October 1995

DOI:https://doi.org/10.1103/PhysRevE.53.3420

©1996 American Physical Society

Authors & Affiliations

Vishal Mehra and Ramakrishna Ramaswamy

  • School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India

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Issue

Vol. 53, Iss. 4 — April 1996

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