From Symmetric Networks to Heteroclinic Dynamics and Chaos in Coupled Phase Oscillators with Higher-Order Interactions

Peter Ashwin, Christian Bick*, Ana Rodrigues

*Corresponding author for this work

Research output: Chapter in Book / Report / Conference proceedingChapterAcademicpeer-review

248 Downloads (Pure)

Abstract

We highlight some results from normal form theory for symmetric bifurcations that give a rational way to organize higher-order interactions between phase oscillators in networks with fully symmetric coupling. For systems near Hopf bifurcation the lowest order (pairwise) interactions correspond to the system of Kuramoto and Sakaguchi. At next asymptotic order one must generically include higher-order interactions of up to four oscillators. We discuss some dynamical consequences of these interactions in terms of heteroclinic attractors, chaos, and chimeras for related systems.

Original languageEnglish
Title of host publicationHigher-Order Systems
EditorsFederico Battiston, Giovanni Petri
Place of PublicationCham
PublisherSpringer Science and Business Media Deutschland GmbH
Pages197-216
Number of pages20
ISBN (Electronic)9783030913748
ISBN (Print)9783030913731
DOIs
Publication statusPublished - 2022

Publication series

NameUnderstanding Complex Systems (UCS)
PublisherSpringer
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Fingerprint

Dive into the research topics of 'From Symmetric Networks to Heteroclinic Dynamics and Chaos in Coupled Phase Oscillators with Higher-Order Interactions'. Together they form a unique fingerprint.

Cite this