Results 31 to 40 of about 633,095 (156)
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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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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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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AIP Advances, 2020 In the present analysis, the effects of an asymmetric peristaltic movement on the bifurcations of stagnation points have been investigated. An exact analytic solution for a flow of an incompressible micropolar fluid has been established under long ...
Nasir Ali, Kaleem Ullah
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Heteroclinic-structure transition of the pure quartic modulation instability
, 2022 We show that, in the pure-quartic systems, modulation instability (MI) undergoes heteroclinic-structure transitions (HSTs) at two critical frequencies of {\omega} c1 and {\omega} c2 ( {\omega} c2 > {\omega} c1 ), which indicates that there are ...
Chong Liu (450204) +3 more
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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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The Heteroclinic Connection Problem for General Double-Well Potentials [PDF]
Mediterranean Journal of Mathematics, 2016 this version contains some more recent references compared to the published one, Mediterranean Journal of Mathematics (2016)
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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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Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem
AppliedMathWe examine the modified Hill three-body problem by incorporating the oblateness of the primary body and focus on its asymptotic orbits. Specifically, we analyze and characterize homoclinic and heteroclinic connections associated with the collinear ...
Vassilis S. Kalantonis
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Heteroclinic Connection of Periodic Solutions of Delay Differential Equations [PDF]
Journal of Dynamics and Differential Equations, 2008 For a certain class of delay equations with piecewise constant nonlinearities we prove the existence of a rapidly oscillating stable periodic solution and a rapidly oscillating unstable periodic solution. Introducing an appropriate Poincaré map, the dynamics of the system may essentially be reduced to a two dimensional map, the periodic solutions being
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