New Scenario to Chaos Transition in the Mappings with Discontinuities

Details New Scenario to Chaos Transition in the Mappings with Discontinuities New Scenario to Chaos Transition in the Mappings with Discontinuities

2002-11-22

arxiv.org/abs/nlin/0211039v1

Physisc Letters A 320 (2003) 160-168

Nonlinear Sciences

Chaotic Dynamics

10 pages LaTeX2e, 5 eps figures; submitted to Physics Letters A

Scientific paper

We consider a many-parametric piecewise mapping with discontinuity. That is a
one dimensional model of singular dynamic system. The stability boundary are
calculated analytically and numerically. New typical features of stable cycle
structures and scenario to chaos transition provoked by discontinuity are
found.

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