Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle–focus type

By Jiafu Wang, Chuangxia Huang, Lihong Huang. Nonlinear Analysis. Hybrid Systems, 2019

142 citations recorded by the source corpus.

Abstract The aim of this paper is to deal with the problem of limit cycles for a general planar piecewise linear differential system of saddle–focus type. By using the Lienard-like canonical form with five parameters and dividing the total parameter space into several regions, the number of limit cycles is discussed in detail. In particular, we give parameter regions where there are at least two limit cycles. Moreover, we investigate the existence and stability of exactly two nested limit cycles in some parameter regions.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/bac7319f035aeac9ea2de3c141324313fd4fd4fb

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In Geometry and Topology

Citations in the corpus

Petrović-Type Inequalities for Harmonic h-convex Functions (2020, background): “(2) From part (1) and Remark 18 we get”
Inequalities for generalized trigonometric and hyperbolic functions with one parameter (2020, background): “…of mathematics [2, 3, 14, 17, 19, 20, 25, 30, 32, 35, 38, 41, 46, 50, 52, 61, 70, 74, 77, 81, 83, 85, 86, 87, 88], they are closely related to the bivariate means [15, 26, 54, 55, 56, 68, 73, 75, 78] and special functions [1, 7, 12, 13, 21, 22, 27, 28, 36, 51, 57, 58, 59, 60, 62, 65, 69, 72, 82].”