Period-multiplying bifurcations and multifurcations in conservative mappings

6533b7d0fe1ef96bd125b6e1

RESEARCH PRODUCT

Period-multiplying bifurcations and multifurcations in conservative mappings

subject

Pure mathematics General equation Chaotic General Physics and Astronomy Periodic orbits Statistical and Nonlinear Physics Mathematical Physics Mathematical physics Universality (dynamical systems)Mathematics

description

The authors have investigated numerically and analytically the period-doubling bifurcations and multifurcations of the periodic orbits of the conservative sine-Gordon mappings. They have derived a general equation for the appearance of multifurcations in conservative mappings. In agreement with many recent studies, they also find evidence that such mappings possess universality properties. They also discuss the role of multifurcations in conservative mappings exhibiting chaotic behaviour.

year	journal	country	edition	language
1983-07-11	Journal of Physics A: Mathematical and General

https://doi.org/10.1088/0305-4470/16/10/007

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