Results 1 to 10 of about 1,118,392 (164)
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)
Christos Sourdis
exaly +4 more sources
Trans-heteroclinic bifurcation: a novel type of catastrophic shift [PDF]
Royal Society Open Science, 2018 Global and local bifurcations are extremely important since they govern the transitions between different qualitative regimes in dynamical systems. These transitions or tipping points, which are ubiquitous in nature, can be smooth or catastrophic. Smooth
Josep Sardanyés +2 more
doaj +2 more sources
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
Melanie Rupflin
exaly +3 more sources
Reconfiguration of a smart surface using heteroclinic connections. [PDF]
Proc Math Phys Eng Sci, 2017 A reconfigurable smart surface with multiple equilibria is presented, modelled using discrete point masses and linear springs with geometric nonlinearity. An energy-efficient reconfiguration scheme is then investigated to connect equal-energy unstable (but actively controlled) equilibria.
Zhang J, McInnes CR, Xu M.
europepmc +9 more sources
Heteroclinic connections for a class of non-autonomous systems
Electronic Journal of Differential Equations, 2001 We prove the existence of heteroclinic connections for a system of ordinary differential equations, with time-dependent coefficients, which is reminiscent of the ODE arising in connection with traveling waves for the Fisher equation.
L. Sanchez
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On the heteroclinic connection problem for multi-well gradient systems
Journal of Differential Equations, 2016 19 pages, 3 figures.
Andres Zuniga, Peter Sternberg
exaly +5 more sources
On the Melnikov function [PDF]
ریاضی و جامعه, 2023 In this article, we have tried to introduce one of the most important topics in the subject of dynamical systems, namely the Melnikov function, in simple language.
Majid Karimi Amaleh
doaj +1 more source
Metric methods for heteroclinic connections [PDF]
Mathematical Methods in the Applied Sciences, 2016 We consider the problem among curves connecting two given wells of W≥0, and we reduce it, following a standard method, to a geodesic problem of the form with . We then prove existence of curves minimizing this new action just by proving that the distance induced by K is proper (i.e., its closed balls are compact). The assumptions on W are minimal,
Monteil, Antonin, Santambrogio, Filippo
openaire +3 more sources
Heteroclinic connections for nonlocal equations [PDF]
Mathematical Models and Methods in Applied Sciences, 2019 We construct heteroclinic orbits for a strongly nonlocal integro-differential equation. Since the energy associated to the equation is infinite in such strongly nonlocal regime, the proof, based on variational methods, relies on a renormalized energy functional, exploits a perturbation method of viscosity type, combined with an auxiliary penalization ...
Dipierro, Serena +2 more
openaire +2 more sources
Exploration of non-resonant divertor features on the Compact Toroidal Hybrid
Nuclear Fusion, 2023 Non-resonant divertors (NRDs) separate the confined plasma from the surrounding plasma facing components (PFCs). The resulting striking field line intersection pattern on these PFCs is insensitive to plasma equilibrium effects.
K.A. Garcia +6 more
doaj +1 more source