Results 221 to 230 of about 6,100 (243)

Bifurcations of Sliding Heteroclinic Cycles in Three-Dimensional Filippov Systems

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Global bifurcations with sliding have rarely been studied in three-dimensional piecewise smooth systems. In this paper, codimension-2 bifurcations of nondegenerate sliding heteroclinic cycle [Formula: see text] are investigated in three-dimensional ...
Yousu Huang, Qigui Yang
semanticscholar   +1 more source

Applying Lin's method to constructing heteroclinic orbits near the heteroclinic chain

Mathematical methods in the applied sciences
In this paper, we apply Lin's method to study the existence of heteroclinic orbits near the degenerate heteroclinic chain under m$$ m $$ ‐dimensional periodic perturbations.
Bin Long, Yiying Yang
semanticscholar   +1 more source

Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems

Communications in nonlinear science & numerical simulation, 2021
Wei Geng, Yun Tian
semanticscholar   +1 more source

Melnikov analysis of chaos and heteroclinic bifurcation in Josephson system driven by an amplitude-modulated force

International Journal of Dynamics and Control, 2018
Yanxiang Shi
semanticscholar   +2 more sources

Heteroclinic bifurcations in damped rigid block motion

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992
It is shown that heteroclinic bifurcations are present in a piecewise-linear system of ordinary differential equations that describe the rocking motion of a slender rigid block with damping. An exact expression is given for the bifurcation amplitude. Stable and unstable manifolds are analytically extended to explicitly reveal the intersections.
openaire   +2 more sources

HETEROCLINIC BIFURCATIONS IN FLOW-INDUCED OSCILLATIONS OF CYLINDERS

Journal of Fluids and Structures, 1996
The transition of flow-induced cylinder vibrations to chaos in terms of heteroclinic bifurcations is investigated. The approach is based on a modified version of a model presented in a previous paper (Berger & Plaschko 1993). It is shown that these bifurcations occur along a locus given in terms of mass-ratio versus wind-speed curve and the transition ...
openaire   +2 more sources

Periodic solution and heteroclinic bifurcation in a predator–prey system with Allee effect and impulsive harvesting

Nonlinear dynamics, 2014
Chunjin Wei, Lansun Chen
semanticscholar   +2 more sources

Two pairs of heteroclinic orbits coined in a new sub-quadratic Lorenz-like system

European Physical Journal B : Condensed Matter Physics, 2023
Haijun Wang, Guiyao Ke, Jun Pan, Feiyu Hu, H. Fan, Qifang Su   +5 more
semanticscholar   +1 more source

Bifurcations of Orbits Homoclinic and Heteroclinic to Hyperbolic Equilibria

1995
In this chapter we will study global bifurcations corresponding to the appearance of homoclinic or heteroclinic orbits connecting hyperbolic equilibria in continuous-time dynamical systems. First we consider in detail two- and three-dimensional cases where geometrical intuition can be fully exploited.
openaire   +2 more sources

Hopf Bifurcation Analysis and Existence of Heteroclinic Orbit and Homoclinic Orbit in an Extended Lorenz System

, 2020
Aritra Das, Soumya Das, P. Das
semanticscholar   +1 more source