Sigma map dynamics and bifurcations

Document Type

Article

Publication Date

11-1-2017

Abstract

Some interesting variants of walking droplet based discrete dynamical bifurcations arising from diffeomorphisms are analyzed in detail. A notable feature of these new bifurcations is that, like Smale horseshoes, they can be represented by simple geometric paradigms, which markedly simplify their analysis. The two-dimensional diffeomorphisms that produce these bifurcations are called sigma maps or double sigma maps for reasons that are made manifest in this investigation. Several examples are presented along with their dynamical simulations.

Identifier

85037632950 (Scopus)

Publication Title

Regular and Chaotic Dynamics

External Full Text Location

https://doi.org/10.1134/S1560354717060107

e-ISSN

14684845

ISSN

15603547

First Page

740

Last Page

749

Issue

6

Volume

22

Grant

Cycle-47

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