Results 181 to 187 of about 5,108 (187)

NONRESONANT BIFURCATIONS OF HETEROCLINIC LOOPS WITH ONE INCLINATION FLIP

International Journal of Bifurcation and Chaos, 2011
Heteroclinic bifurcations in four-dimensional vector fields are investigated by setting up local coordinates near a heteroclinic loop. This heteroclinic loop consists of two principal heteroclinic orbits, but there is one stable foliation that involves an inclination flip.
Shui, Shuliang, Li, Jingjing, Zhang, Xuyang   +2 more
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Stability of heteroclinic cycles in transverse bifurcations

Physica D: Nonlinear Phenomena, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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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 ...
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Bifurcations of Sliding Heteroclinic Cycles in Three-Dimensional Filippov Systems

International Journal of Bifurcation and Chaos
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 Filippov systems.
Yousu Huang, Qigui Yang
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Phase Transitions via Bifurcation from Heteroclinic Orbits

1983
This paper discusses some recent work with M. Gurtin and M. Slemrod on the displacement boundary value problem of a one-dimensional elastic material capable of exhibiting exchanges of phase. This study was motivated by some work of Ericksen [4], who showed that by taking a non-convex stress strain law, elasticity could model phase changes (see also ...
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Heteroclinic cycles in equivariant bifurcations

2020
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