Results 21 to 30 of about 1,118,392 (164)
Heteroclinic and homoclinic connections in a Kolmogorov-like flow
Physical Review E, 2019 Supplemental Videos Showing Heteroclinic and Homoclinic Connections Are ...
Suri, Balachandra +3 more
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Breakdown of a 2D Heteroclinic Connection in the Hopf-Zero Singularity (I) [PDF]
Journal of Nonlinear Science, 2018 In this paper we study a beyond all order phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated normal form of this singularity at any order.
Baldomá Barraca, Inmaculada +2 more
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Topologically crossing heteroclinic connections to invariant tori
Journal of Differential Equations, 2003 Let \(M\) be a symplectic manifold of dimension \(2n_c+ 2n_h\), with \(n_c\), \(n_h> 0\), and let \(f_\mu: M\to M\) be a family of symplectic diffeomorphisms that depends smoothly on \(\mu\) with \(|\mu- \mu_0|< a_0\) for some \(a_0> 0\). We assume that each \(f_\mu\) has a partially hyperbolic fixed point \(p_\mu\) such that the derivative of \(f_\mu\)
Gidea, Marian, Robinson, Clark
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On the loss of compactness in the vectorial heteroclinic connection problem [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2016 We give an alternative proof of the theorem of Alikakos and Fusco concerning existence of heteroclinic solutionsU: ℝ → ℝNto the systemHerea±are local minima of a potentialW∈C2(ℝN) withW(a±) = 0. This system arises in the theory of phase transitions. Our method is variational but differs from the original artificial constraint method of Alikakos and ...
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Shapley Polygons in 4 x 4 Games
Games, 2010 We study 4 x 4 games for which the best response dynamics contain a cycle. We give examples in which multiple Shapley polygons occur for these kinds of games.
Martin Hahn
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Robust sequential working memory recall in heterogeneous cognitive networks
Frontiers in Systems Neuroscience, 2014 Psychiatric disorders are often caused by partial heterogeneous disinhibition in cognitive networks, controlling sequential and spatial working memory (SWM).
Mikhail I. Rabinovich +2 more
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A complex network perspective on brain disease. [PDF]
Biol Rev Camb Philos SocABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
Papo D, Buldú JM.
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Saddle-center and periodic orbit: Dynamics near symmetric heteroclinic connection [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 An analytic reversible Hamiltonian system with two degrees of freedom is studied in a neighborhood of its symmetric heteroclinic connection made up of a symmetric saddle-center, a symmetric orientable saddle periodic orbit lying in the same level of a Hamiltonian, and two non-symmetric heteroclinic orbits permuted by the involution.
L. M. Lerman, K. N. Trifonov
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The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits
Discrete Dynamics in Nature and Society, 2016 Singularly perturbed problems are often used as the models of ecology and epidemiology. In this paper, a class of semilinear singularly perturbed systems with contrast structures are discussed.
Han Xu, Yinlai Jin
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Orbital and escape dynamics in barred galaxies – IV. Heteroclinic connections [PDF]
Monthly Notices of the Royal Astronomical Society, 2019 Published in Monthly Notices of the Royal Astronomical Society (MNRAS ...
Zotos, Euaggelos E., Jung, Christof
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