[HTML][HTML] The number and stability of limit cycles for planar piecewise linear systems of node–saddle type
J Wang, X Chen, L Huang - Journal of Mathematical Analysis and …, 2019 - Elsevier
The objective of this paper is to study the number and stability of limit cycles for planar
piecewise linear (PWL) systems of node–saddle type with two linear regions. Firstly, we give …
piecewise linear (PWL) systems of node–saddle type with two linear regions. Firstly, we give …
Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle–focus type
J Wang, C Huang, L Huang - Nonlinear Analysis: Hybrid Systems, 2019 - Elsevier
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 Liénard-like …
piecewise linear differential system of saddle–focus type. By using the Liénard-like …
Limit cycle and boundary equilibrium bifurcations in continuous planar piecewise linear systems
Boundary equilibrium bifurcations in continuous planar piecewise linear systems with two
and three zones are considered, with emphasis on the possible simultaneous appearance …
and three zones are considered, with emphasis on the possible simultaneous appearance …
Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems
DJW Simpson - Physics Reports, 2022 - Elsevier
For many physical systems the transition from a stationary solution to sustained small
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …
Piecewise linear differential systems with only centers can create limit cycles?
J Llibre, MA Teixeira - Nonlinear Dynamics, 2018 - Springer
In this article, we study the continuous and discontinuous planar piecewise differential
systems formed only by linear centers separated by one or two parallel straight lines. When …
systems formed only by linear centers separated by one or two parallel straight lines. When …
Limit cycles induced by threshold nonlinearity in planar piecewise linear systems of node-focus or node-center type
J Wang, S He, L Huang - International Journal of Bifurcation and …, 2020 - World Scientific
In this paper, we investigate limit cycles induced by threshold nonlinearity of piecewise
linear (PWL) differential systems, which are node-focus type or node-center type with the …
linear (PWL) differential systems, which are node-focus type or node-center type with the …
[HTML][HTML] On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
RD Euzebio, J Llibre - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
In this paper we study the maximum number N of limit cycles that can exhibit a planar
piecewise linear differential system formed by two pieces separated by a straight line. More …
piecewise linear differential system formed by two pieces separated by a straight line. More …
Global dynamics and bifurcation for a discontinuous oscillator with irrational nonlinearity
J Wang, W Huang, L Huang - Communications in Nonlinear Science and …, 2023 - Elsevier
The objective is to carry out thorough analysis of global dynamics and bifurcation for a
discontinuous oscillator, showing the transition of dynamics between the piecewise smooth …
discontinuous oscillator, showing the transition of dynamics between the piecewise smooth …
Limit cycles bifurcating from the periodic orbits of a discontinuous piecewise linear differentiable center with two zones
We study a class of discontinuous piecewise linear differential systems with two zones
separated by the straight line x= 0. In x> 0, we have a linear saddle with its equilibrium point …
separated by the straight line x= 0. In x> 0, we have a linear saddle with its equilibrium point …
Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry
Some techniques for proving the existence and uniqueness of limit cycles for smooth
differential systems are extended to continuous piecewise linear differential systems with …
differential systems are extended to continuous piecewise linear differential systems with …