Robust Heteroclinic Behaviour, Synchronization, and Ratcheting of Coupled Oscillators

DOI10.1007/978-3-642-14788-3_10zbMath1266.34059OpenAlexW7061580WikidataQ57919309 ScholiaQ57919309MaRDI QIDQ2909685

Özkan Karabacak, Peter Ashwin

Publication date: 6 September 2012

Published in: Dynamics, Games and Science II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-14788-3_10

zbMATH Keywords

bifurcationcoupled oscillatorssynchronizationheteroclinic cycleheteroclinic ratchetextreme sensitivity

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Synchronization of solutions to ordinary differential equations (34D06)

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From coupled networks of systems to networks of states in phase space ⋮ Heteroclinic network dynamics on joining coupled cell networks ⋮ Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with \(\phi\)-Laplacians ⋮ Regular synchrony lattices for product coupled cell networks

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