Switching homoclinic networks

DOI10.1080/14689361003769770zbMath1204.37028OpenAlexW2158263287MaRDI QIDQ3069831

Ale Jan Homburg, Jürgen Knobloch

Publication date: 20 January 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689361003769770

zbMATH Keywords

switching dynamicshomoclinic cycle

Mathematics Subject Classification ID

Related Items (13)

Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock ⋮ On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes ⋮ Travelling waves and heteroclinic networks in models of spatially-extended cyclic competition ⋮ Abundance of Infinite Switching ⋮ Behaviour of trajectories near a two-cycle heteroclinic network ⋮ Construction of heteroclinic networks in ${{\mathbb{R}}^{4}}$ ⋮ Heteroclinic network dynamics on joining coupled cell networks ⋮ Global generic dynamics close to symmetry ⋮ Is there switching for replicator dynamics and bimatrix games? ⋮ Regular synchrony lattices for product coupled cell networks ⋮ Chaos near a reversible homoclinic bifocus ⋮ Dynamics near the product of planar heteroclinic attractors ⋮ Heteroclinic networks in homogeneous and heterogeneous identical cell systems

Cites Work

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• Switching near a network of rotating nodes
• Essentially asymptotically stable homoclinic networks
• A competition between heteroclinic cycles
• An equivariant, inclination-flip, heteroclinic bifurcation
• Asymptotic stability of heteroclinic cycles in systems with symmetry. II
• Dynamics near a heteroclinic network
• Regular and irregular cycling near a heteroclinic network
• Noisy heteroclinic networks

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