BIFURCATIONS OF EQUILIBRIA IN PLANAR HYBRID SYSTEMS

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SHAMSARAR ELHAM; MOSTOLIZADEH REIHANEH

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

BIFURCATIONS OF EQUILIBRIA IN PLANAR HYBRID SYSTEMS

Author(s)

SHAMSARAR ELHAM | MOSTOLIZADEH REIHANEH | Issue Writer Certificate

Keywords

BIFURCATION

HYBRID SYSTEMS

LIMIT CYCLES

PIECEWISE SYTEMS

STABILITY ANALYSIS

Abstract

THIS REVIEW HAS PRESENTED A ONE-PARAMETER, NON-SMOOTH BIFURCATIONS THAT OCCUR IN VARIETY OF CONTINUOUS-TIME PIECEWISE-SMOOTH DYNAMICAL SYSTEMS. ONLY DISCONTINUITY-INDUCED BIFURCATION (DIB) THAT ARE LOCAL ARE CONSIDERED, THAT IS, BIFURCATIONS INVOLVING EQUILIBRIA OR A SINGLE POINT OF BOUNDARY INTERACTION ALONG A LIMIT CYCLE FOR FLOWS. IN THIS REVIEW A PROCEDURE TO FIND ALL LIMIT SETS NEAR BIFURCATING EQUILIBRIA IN A CLASS OF HYBRID SYSTEMS WAS DESCRIBED BY CONTINUOUS, PIECEWISE SMOOTH DIFFERENTIAL EQUATIONS.FOR THIS PURPOSE, THE DYNAMICS NEAR THE BIFURCATING EQUILIBRIUM WAS LOCALLY APPROXIMATED AS A PIECEWISE AFFINE SYSTEM DEFINED ON A CONIC PARTITION OF THE PLANE.

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APA: Copy

SHAMSARAR, ELHAM, & MOSTOLIZADEH, REIHANEH. (2013). BIFURCATIONS OF EQUILIBRIA IN PLANAR HYBRID SYSTEMS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/924527/en

Vancouver: Copy

SHAMSARAR ELHAM, MOSTOLIZADEH REIHANEH. BIFURCATIONS OF EQUILIBRIA IN PLANAR HYBRID SYSTEMS. 2013. Available from: https://sid.ir/paper/924527/en

IEEE: Copy

ELHAM SHAMSARAR, and REIHANEH MOSTOLIZADEH, “BIFURCATIONS OF EQUILIBRIA IN PLANAR HYBRID SYSTEMS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/924527/en

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