Abstract
This review examines some recent work on robust heteroclinic networks that can appear as attractors for coupled dynamical systems. We focus on coupled phase oscillators and discuss a number of nonlinear dynamical phenomena that are atypical in systems without some coupling structure. The phenomena we discuss include heteroclinic cycles and networks between partially synchronized states. These networks can be attracting and robust to perturbations in parameters and system structure as long as the coupling structure is preserved. We discuss two related effects; extreme sensitivity to detuning (strongly coupled oscillators may lose their frequency synchrony for very small detunings) and heteroclinic ratchet where the sensitivity may only appear for detunings of one sign.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
