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 …

Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds

J Li, Z Guo, S Zhu, T Gao - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
In this paper, we study the bifurcation of periodic orbits for high-dimensional piecewise
smooth near integrable systems defined in three regions separated by two switching …

Melnikov functions of arbitrary order for piecewise smooth differential systems in Rn and applications

X Chen, T Li, J Llibre - Journal of differential equations, 2022 - Elsevier
In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating
from a periodic submanifold for autonomous piecewise smooth differential systems in R n …

[图书][B] Modeling with nonsmooth dynamics

MR Jeffrey - 2020 - Springer
As mathematics is applied to model ever new problems in engineering and the life sciences,
increasing use is being made of systems that switch between different sets of equations on …

Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries

T Li, J Llibre - Journal of Differential Equations, 2023 - Elsevier
This paper aims to study the limit cycles of planar piecewise polynomial Hamiltonian
systems of degree n with the switching boundary y= xm, where m and n are positive …

Bifurcation of periodic orbits in discontinuous systems

HA Hosham - Nonlinear Dynamics, 2017 - Springer
This paper treads discontinuous bifurcation in piecewise smooth systems of Filippov type.
These bifurcations occur when a fixed point or a periodic orbit crosses with the border …

Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a twofold cycle

DD Novaes, TM Seara, MA Teixeira, IO Zeli - SIAM Journal on Applied …, 2020 - SIAM
We study the existence of periodic solutions in a class of planar Filippov systems obtained
from non-autonomous periodic perturbations of reversible piecewise smooth differential …

Limit cycles bifurcating from periodic integral manifold in non-smooth differential systems

OAR Cespedes, DD Novaes - arXiv preprint arXiv:2409.01851, 2024 - arxiv.org
This paper addresses the perturbation of higher-dimensional non-smooth autonomous
differential systems characterized by two zones separated by a codimension-one manifold …

On Some Properties of Solutions of Switched Differential Equations

AO Ignatyev - Mathematical Notes, 2023 - Springer
We consider an important class of hybrid systems, called switching systems, in which a
continuous process is controlled by a discrete control between different subsystems. In the …

Periodic orbits and bifurcation of a two-degree-of freedom dry friction coupled vibration system

J Li, Y Cui, S Zhu - Journal of Physics: Conference Series, 2024 - iopscience.iop.org
This article explores the dynamic behavior of a two-degree-of freedom dry friction coupled
vibration system. By constructing a generalized Poincaré map and obtaining the necessary …