SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION-Reference-Cited by-同舟云学术

SHILNIKOV BIFURCATION: STATIONARY QUASI-REVERSAL BIFURCATION

Published:2008-07 Issue:07 Volume:18 Page:1905-1915
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CLERC MARCEL G.¹,ENCINA PABLO C.¹²,TIRAPEGUI ENRIQUE¹

Affiliation:

1. Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile

2. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile

Abstract

A generic stationary instability that arises in quasi-reversible systems is studied. It is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the dynamics through the normal form that exhibits in particular, Shilnikov chaos, for which we give an analytical prediction. We construct a simple mechanical system, Shilnikov particle, which exhibits this quasi-reversal instability and displays its chaotic behavior.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127408021440

Reference22 articles.

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2. V. Arnold, Chapitres Supplementaires de la Theorie des Equations Differentielles Ordinaires (MIR, Moscou, 1980) pp. 211–331.

3. Lorenz Bifurcation: Instabilities in Quasireversible Systems

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