Discontinuous fold bifurcations

R.I. Leine; D.H. Campen, van

doi:10.1080/0232929031000119134

Discontinuous fold bifurcations

R.I. Leine, D.H. Campen, van

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

6 Citations (Scopus)

Abstract

This article treats discontinuous fold bifurcations of periodic solutions of discontinuous system. It is shown how jumps in the fundamental solution matrix lead to jumps of the Floquet multipliers of periodic solutions. A Floquet multiplier of a discontinuous system can jump through the unit circle causing a discontinuous bifurcation. Numerical examples are treated which show discontinuous fold bifurcations. The discontinuous fold bifurcation can connect stable branches to branches with infinitely unstable solutions.

Original language	English
Pages (from-to)	321-332
Number of pages	12
Journal	Systems Analysis Modelling Simulation
Volume	43
Issue number	3
DOIs	https://doi.org/10.1080/0232929031000119134
Publication status	Published - 2003

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title = "Discontinuous fold bifurcations",

abstract = "This article treats discontinuous fold bifurcations of periodic solutions of discontinuous system. It is shown how jumps in the fundamental solution matrix lead to jumps of the Floquet multipliers of periodic solutions. A Floquet multiplier of a discontinuous system can jump through the unit circle causing a discontinuous bifurcation. Numerical examples are treated which show discontinuous fold bifurcations. The discontinuous fold bifurcation can connect stable branches to branches with infinitely unstable solutions.",

author = "R.I. Leine and {Campen, van}, D.H.",

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AB - This article treats discontinuous fold bifurcations of periodic solutions of discontinuous system. It is shown how jumps in the fundamental solution matrix lead to jumps of the Floquet multipliers of periodic solutions. A Floquet multiplier of a discontinuous system can jump through the unit circle causing a discontinuous bifurcation. Numerical examples are treated which show discontinuous fold bifurcations. The discontinuous fold bifurcation can connect stable branches to branches with infinitely unstable solutions.

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DO - 10.1080/0232929031000119134

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JO - Systems Analysis Modelling Simulation

JF - Systems Analysis Modelling Simulation

IS - 3

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Discontinuous fold bifurcations

Abstract

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