Discontinuous fold bifurcations in mechanical systems

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

doi:10.1007/s00419-001-0190-9

Discontinuous fold bifurcations in mechanical systems

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

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

39 Citations (Scopus)

Abstract

This paper treats discontinuous fold bifurcations of periodic solutions of discontinuous systems. 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. A discontinuous fold bifurcation can connect stable branches to branches with infinitely unstable solutions.

Original language	English
Pages (from-to)	138-146
Journal	Archive of Applied Mechanics
Volume	72
DOIs	https://doi.org/10.1007/s00419-001-0190-9
Publication status	Published - 2002

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title = "Discontinuous fold bifurcations in mechanical systems",

abstract = "This paper treats discontinuous fold bifurcations of periodic solutions of discontinuous systems. 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. A 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 paper treats discontinuous fold bifurcations of periodic solutions of discontinuous systems. 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. A discontinuous fold bifurcation can connect stable branches to branches with infinitely unstable solutions.

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DO - 10.1007/s00419-001-0190-9

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SN - 0939-1533

VL - 72

SP - 138

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JO - Archive of Applied Mechanics

JF - Archive of Applied Mechanics

ER -

Discontinuous fold bifurcations in mechanical systems

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