Affiliation:
1. Instituto de Física, Universidade Federal do Rio Grande do Sul91501-970 Porto Alegre, Brazil
Abstract
We report high-resolution phase diagrams for several familiar dynamical systems described by sets of ordinary differential equations: semiconductor lasers; electric circuits; Lorenz-84 low-order atmospheric circulation model; and Rössler and chemical oscillators. All these systems contain chaotic phases with highly complicated and interesting
accumulation boundaries
, curves where networks of stable islands of regular oscillations with ever-increasing periodicities accumulate systematically. The experimental exploration of such codimension-two boundaries characterized by the presence of infinite
accumulation of accumulations
is feasible with existing technology for some of these systems.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
48 articles.
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