English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Dynamical effects of breaking rotational symmetry in counter-rotating Stuart-Landau oscillators

MPS-Authors
/persons/resource/persons216361

Punetha,  Nirmal
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184867

Prasad,  Awadhesh
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Punetha, N., Varshney, V., Sahoo, S., Saxena, G., Prasad, A., & Ramaswamy, R. (2018). Dynamical effects of breaking rotational symmetry in counter-rotating Stuart-Landau oscillators. Physical Review E, 98(2): 022212. doi:10.1103/PhysRevE.98.022212.


Cite as: http://hdl.handle.net/21.11116/0000-0002-5BF0-9
Abstract
Stuart-Landau oscillators can be coupled so as to either preserve or destroy the rotational symmetry that the uncoupled system possesses. We examine some of the simplest cases of such couplings for a system of two nonidentical oscillators. When the coupling breaks the rotational invariance, there is a qualitative difference between oscillators wherein the phase velocity has the same sign (termed co-rotation) or opposite signs (termed counter-rotation). In the regime of oscillation death the relative sense of the phase rotations plays a major role. In particular, when rotational invariance is broken, counter-rotation or phase velocities of opposite signs appear to destabilize existing fixed points, thereby preserving and possibly extending the range of oscillatory behavior. The dynamical "frustration" induced by counter-rotations can thus suppress oscillation quenching when coupling breaks the symmetry.