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 …
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 …
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 …
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 …
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 …
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 …
This paper addresses the perturbation of higher-dimensional non-smooth autonomous differential systems characterized by two zones separated by a codimension-one manifold …
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 …
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 …