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Switching homoclinic networks

Dynamical Systems, 2010
A heteroclinic network for an equivariant ordinary differential equation is called switching if each sequence of heteroclinic trajectories in it is shadowed by a nearby trajectory. It is called forward switching if this holds for positive trajectories. We provide an elementary example of a switching robust homoclinic network and a related example of a ...
Homburg, A.J., Knobloch, J.
openaire   +4 more sources

Controlling homoclinic orbits

Theoretical and Computational Fluid Dynamics, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bloch, A. M., Marsden, J. E.
openaire   +3 more sources

Homoclinical chaos suppression

2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775), 2004
Basing on the Melnikov method that gives a sufficient criterion of chaoticity in the separatrix neighborhood, analysis of the chaos suppression phenomenon is carried out. As a result, an explicit form of external perturbations leading to the stabilization of chaotic dynamics is analytically found.
A. Loskutov, A. Janoev
openaire   +1 more source

Periodically Expansive Homoclinic Classes

Journal of Dynamics and Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Poincaré’s Homoclinic Horror

2020
A simplefied mathematical model, in the form of a discrete dynamical system, was developed to study the spatially-localized, synchronous spiking observed in a large network of neural tissue.
openaire   +1 more source

Homoclinic splitting problems

2000
Counterexample to a paper published earlier on Physica D by other ...
GALLAVOTTI, Giovanni   +2 more
openaire   +1 more source

Hopf and homoclinic bifurcations for near-Hamiltonian systems

Journal of Differential Equations, 2017
Maoan Han, Yun Tian
exaly  

Homoclinic Orbits for Asymptotically Linear Hamiltonian Systems

Journal of Functional Analysis, 2001
Andrzej Szulkin
exaly  

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