- Physical Review Journals
All JournalsPhysics Magazine

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter

Chimera complexity

Serhiy Brezetsky1, Patrycja Jaros1, Roman Levchenko2,3, Tomasz Kapitaniak1, and Yuri Maistrenko1,3,4

  • 1Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
  • 2Faculty of Radiophysics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Volodymyrska St. 60, 01030 Kyiv, Ukraine
  • 3Forschungszentrum Jülich, 52428 Jülich, Germany
  • 4Institute of Mathematics and Centre for Medical and Biotechnical Research, NAS of Ukraine, Tereshchenkivska St. 3, 01030 Kyiv, Ukraine

PDF

Phys. Rev. E 103, L050204 – Published 18 May, 2021

DOI: https://doi.org/10.1103/PhysRevE.103.L050204

Abstract

We show an amazing complexity of the chimeras in small networks of coupled phase oscillators with inertia. The network behavior is characterized by heteroclinic switching between multiple saddle chimera states and riddling basins of attractions, causing an extreme sensitivity to initial conditions and parameters. Additional uncertainty is induced by the presumable coexistence of stable phase-locked states or other stable chimeras as the switching trajectories can eventually tend to them. The system dynamics becomes hardly predictable, while its complexity represents a challenge in the network sciences.

View figure in article

Physics Subject Headings (PhySH)

Authorization Required

We need you to provide your credentials before accessing this content.

Other Options

Supplemental Material (Subscription Required)

References (Subscription Required)

Outline

Information

Phys. Rev. E 103, L050204– Published 18 May, 2021
  • Received 19 November 2020
  • Accepted 23 April 2021
Crossmark - Check for updates button

©2021 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation