LIMIT CYCLES OF PIECEWISE LINEAR DYNAMICAL SYSTEMS WITH THREE ZONES AND LATERAL SYSTEMS

Qianqian Zhao; Jiang Yu

doi:10.11948/20180321

2019 Volume 9 Issue 5

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Qianqian Zhao, Jiang Yu. LIMIT CYCLES OF PIECEWISE LINEAR DYNAMICAL SYSTEMS WITH THREE ZONES AND LATERAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2019, 9(5): 1822-1837. doi: 10.11948/20180321

Citation:

Qianqian Zhao, Jiang Yu. LIMIT CYCLES OF PIECEWISE LINEAR DYNAMICAL SYSTEMS WITH THREE ZONES AND LATERAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2019, 9(5): 1822-1837. doi: 10.11948/20180321

LIMIT CYCLES OF PIECEWISE LINEAR DYNAMICAL SYSTEMS WITH THREE ZONES AND LATERAL SYSTEMS

Qianqian Zhao¹,
Jiang Yu^1, ,

1.
School of Mathematical Sciences, Shanghai Jiaotong University, Shanghai 200240, China

Corresponding author: Email address: jiangyu@sjtu.edu.cn (J. Yu)
Fund Project: The Corresponding author is supported by NNSF of China grant number 11431008 and 11771282, NSF of Shanghai grant number 15ZR1423700

Abstract

Abstract

In this paper, we give some evidences what cause more limit cycles for piecewise dynamical systems. We say, the angles or the number of zones are critical points. We study an example of linear lateral systems and an example of linear Y-shape systems, and prove that they have five and four crossing limit cycles by using Newton-Kantorovich Theorem, respectively.
- Y-shape systems /
- Newton-Kantorovich Theorem /
- limit cycle /
- lateral systems
MSC: 34C05, 34C07, 37G15

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References

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