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 …
A general mechanism to generate three limit cycles in planar Filippov systems with two zones
Discontinuous piecewise linear systems with two zones are considered. A general canonical
form that includes all the possible configurations in planar linear systems is introduced and …
form that includes all the possible configurations in planar linear systems is introduced and …
Maximum number of limit cycles for certain piecewise linear dynamical systems
This paper deals with the question of the determinacy of the maximum number of limit cycles
of some classes of planar discontinuous piecewise linear differential systems defined in two …
of some classes of planar discontinuous piecewise linear differential systems defined in two …
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 …
Existence of limit cycles in general planar piecewise linear systems of saddle–saddle dynamics
SM Huan, XS Yang - Nonlinear Analysis: Theory, Methods & Applications, 2013 - Elsevier
The existence and number of limit cycles in a class of general planar piecewise linear
systems constituted by two linear subsystems with saddle–saddle dynamics are …
systems constituted by two linear subsystems with saddle–saddle dynamics are …
[HTML][HTML] On the number of limit cycles in general planar piecewise linear systems of node–node types
SM Huan, XS Yang - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
We investigate the existence and number of limit cycles in a class of general planar
piecewise linear systems constituted by two linear subsystems with node–node dynamics …
piecewise linear systems constituted by two linear subsystems with node–node dynamics …
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 …
The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems
The creation or destruction of a crossing limit cycle when a sliding segment changes its
stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we …
stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we …
Lower bounds for the maximum number of limit cycles of discontinuous piecewise linear differential systems with a straight line of separation
In this paper, we provide a lower bound for the maximum number of limit cycles of planar
discontinuous piecewise linear differential systems defined in two half-planes separated by …
discontinuous piecewise linear differential systems defined in two half-planes separated by …
[HTML][HTML] Uniqueness of limit cycles for sewing planar piecewise linear systems
JC Medrado, J Torregrosa - Journal of Mathematical Analysis and …, 2015 - Elsevier
This paper proves the uniqueness of limit cycles for sewing planar piecewise linear systems
with two zones separated by a straight line, Σ, and only one Σ-singularity of monodromic …
with two zones separated by a straight line, Σ, and only one Σ-singularity of monodromic …