Bifurcation in a Class of Planar Piecewise Smooth Systems with 3-Parameters

Bifurcation in a Class of Planar Piecewise Smooth Systems with 3-Parameters

Year:    2014

Author:    Yuanyuan Liu, Zhenhua Chai

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 207–221

Abstract

This paper is concerned with the bifurcation properties on the line of discontinuity of planar piecewise smooth systems. The existence of equilibria and periodic solutions with sliding motion in a class of planar piecewise smooth systems with 3-parameters is investigated in this paper using the theory of differential inclusion and tools of Poincaré maps.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2014.03.03

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 207–221

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    piecewise smooth system line of discontinuity equilibria periodic solution with sliding motion bifurcation.

Author Details

Yuanyuan Liu

Zhenhua Chai