1996•Chaos An Interdisciplinary Journal of Nonlinear ScienceRequires access

Universality in the quasiperiodic route to chaos

Tony W. Dixon, Tony Gherghetta, B. G. Kenny

Abstract

Numerous physical systems with two competing frequencies exhibit frequency locking and chaos associated with quasiperiodicity. In this paper we review certain universal aspects of the quasiperiodic route to chaos by making use of the standard circle map. Particular attention is paid to the golden mean and silver mean with a view to comparison with experimental work. (c) 1996 American Institute of Physics.

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Key concepts: Quasiperiodicity, Quasiperiodic function, Universality (dynamical systems), CHAOS (operating system), Golden ratio, Statistical physics, Standard map, Theoretical physics