Results 151 to 160 of about 401 (174)
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A heteroclinic bifurcation of Anosov diffeomorphisms
Ergodic Theory and Dynamical Systems, 1998We study some diffeomorphisms in the boundary of the set of Anosov diffeomorphisms mainly from the ergodic viewpoint. We prove that these diffeomorphisms, obtained by isotopy from an Anosov $f:M \mapsto M$ through a heteroclinic tangency, determine a manifold ${\cal M}$ of finite codimension in the set of $C^r$ diffeomorphisms.
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Stability of heteroclinic cycles in transverse bifurcations
Physica D: Nonlinear Phenomena, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bifurcations of Rough Heteroclinic Loops with Three Saddle Points
Acta Mathematica Sinica, English Series, 2002The perturbed \(C^r\)-system \[ \dot z=f(z)+g(z,\mu)\tag{1} \] is considered with \(r\geq 4\), \(z\in \mathbb{R}^{m}\), \(\mu \in \mathbb{R}^k\), \(k\geq 3\), \(0\leq |\mu |\ll 1\), \(g(z,0)=0\). The unperturbed system (1) with \(\mu =0\) has a heteroclinic loop \(\Gamma \) connecting three hyperbolic critical points.
Jin, Yin Lai, Zhu, De Ming
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An equivariant, inclination-flip, heteroclinic bifurcation
Nonlinearity, 1996Summary: We examine a heteroclinic bifurcation occurring in families of equivariant vector fields. Within these families, the flows contain structurally stable heteroclinic cycles. The flow can twist around the cycle to produce what is the equivalent of an `inclination-flip' homoclinic orbit.
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The Bifurcations of Countable Connections from a Twisted Heteroclinic Loop
SIAM Journal on Mathematical Analysis, 1991Codimension-two bifurcation phenomena associated with a non-degenerate heteroclinic loop between two relatively contracting saddles in a \(d \geq 2\)-dimensional system are studied. The bifurcation curves of homoclinic loops in the parameter space are characterized in terms of the twist properties of the heteroclinic loop at the bifurcation point.
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Bifurcations of Sliding Heteroclinic Cycles in Three-Dimensional Filippov Systems
International Journal of Bifurcation and ChaosGlobal 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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Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems
Communications in Nonlinear Science and Numerical Simulation, 2021Yun Tian, Wei Geng
exaly
A Heteroclinic Bifurcation in a Motion of Pendulum: Numerical-Topological Approach
International Journal of Applied and Computational Mathematics, 2022Jawarneh, Ibrahim, Altawallbeh, Zuhier
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On the extinction route of a stochastic population model under heteroclinic bifurcation
Acta Mechanica Sinica/Lixue Xuebao, 2022Jinjie Zhu, Qing Yu, Yang Li
exaly