Results 11 to 20 of about 1,158,048 (134)
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
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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 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
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Reconfiguring Smart Structures Using Approximate Heteroclinic Connections in a Spring-Mass Model [PDF]
, 2015 Several new methods are proposed to reconfigure smart structures with embedded computing, sensors and actuators. These methods are based on heteroclinic connections between equal-energy unstable equilibria in an idealised spring-mass smart structure ...
McInnes, C. R., Zhang, J.
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A general framework for invasion cycles in ecology. [PDF]
EcologyAbstract Theory predicts that indirect interactions in ecological networks sustain species diversity through oscillatory dynamics. However, a framework linking interaction structure to the presence, type, and complexity of these cycles is lacking. Here, we develop an analytical toolbox combining invasion graphs with a mathematical decomposition of ...
Calleja-Solanas V +5 more
europepmc +2 more sources
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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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
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Dynamical Inference of Simple Heteroclinic Networks
Frontiers in Applied Mathematics and Statistics, 2019 Heteroclinic networks are structures in phase space that consist of multiple saddle fixed points as nodes, connected by heteroclinic orbits as edges. They provide a promising candidate attractor to generate reproducible sequential series of metastable ...
Maximilian Voit +1 more
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Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаTopic of the paper. Bounded stationary (i.e. independent in time) spatially one-dimensional solutions of a quasilinear parabolic PDE are studied on the whole real line.
Kulagin, Nikolaj Evgenevich +1 more
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Heteroclinic orbits between rotating waves of semilinear parabolic equation on the circle [PDF]
, 2003 We investigate heteroclinic orbits between equilibria and rotating waves for scalar semilinear parabolic reaction-advection-diffusion equations with periodic boundary conditions.
Carlos Rocha +5 more
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