Title

Triple Mode Alignment In A Canonical Model Of The Blue-Sky Catastrophe

Keywords

Blue-sky catastrophe; Competitive modes; Onset of chaos; Volume contraction

Abstract

The blue-sky catastrophe (BSC) is a homoclinic bifurcation of a saddle node periodic orbit of codimension one, which has been found to occur in a number of physically relevant dynamics systems. The onset and termination of the BSC in a chaotic system is shown to coincide with the occurrence of triple mode alignment in a canonical model undergoing the BSC when the model is recast as an oscillator system. Typically, such behavior is only seen in hyperchaotic systems of dimension greater than three. Hence, in the case of three dimensional chaotic systems, competitive modes may under some circumstances be used in the prediction of the blue-sky catastrophe. Limitations to this approach are also discussed. © 2013 Springer Science+Business Media Dordrecht.

Publication Date

7-1-2013

Publication Title

Nonlinear Dynamics

Volume

73

Issue

1-2

Number of Pages

397-403

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11071-013-0794-y

Socpus ID

84879787183 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84879787183

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