Multiple Hopf bifurcation and chaotic reversing waves in problems with O(2) symmetry

Faridon Amdjadi

doi:10.1142/S0218127404010199

Multiple Hopf bifurcation and chaotic reversing waves in problems with O(2) symmetry

Faridon Amdjadi

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Multiple Hopf bifurcation in problems with O(2) symmetry leads to the standing and the traveling wave solutions. Swapping the branches at this point is considered by studying an O(2) symmetric problem on . The torus-doubling cascade bifurcations are investigated using canonical coordinate transformation. It is shown that direction reversing chaos can be obtained through a symmetry-increasing bifurcation.

Original language	English
Article number	1
Pages (from-to)	1831-1838
Number of pages	8
Journal	International Journal of Bifurcation and Chaos
Volume	14
Issue number	5
DOIs	https://doi.org/10.1142/S0218127404010199
Publication status	Published - 5 May 2004

Keywords

Multiple Hopf bifurcation
traveling waves
torus bifurcation
direction reversing chaos

Documents and Links

10.1142/S0218127404010199

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title = "Multiple Hopf bifurcation and chaotic reversing waves in problems with O(2) symmetry",

abstract = "Multiple Hopf bifurcation in problems with O(2) symmetry leads to the standing and the traveling wave solutions. Swapping the branches at this point is considered by studying an O(2) symmetric problem on . The torus-doubling cascade bifurcations are investigated using canonical coordinate transformation. It is shown that direction reversing chaos can be obtained through a symmetry-increasing bifurcation.",

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author = "Faridon Amdjadi",

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N2 - Multiple Hopf bifurcation in problems with O(2) symmetry leads to the standing and the traveling wave solutions. Swapping the branches at this point is considered by studying an O(2) symmetric problem on . The torus-doubling cascade bifurcations are investigated using canonical coordinate transformation. It is shown that direction reversing chaos can be obtained through a symmetry-increasing bifurcation.

AB - Multiple Hopf bifurcation in problems with O(2) symmetry leads to the standing and the traveling wave solutions. Swapping the branches at this point is considered by studying an O(2) symmetric problem on . The torus-doubling cascade bifurcations are investigated using canonical coordinate transformation. It is shown that direction reversing chaos can be obtained through a symmetry-increasing bifurcation.

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KW - torus bifurcation

KW - direction reversing chaos

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