Dynamical effects of breaking rotational symmetry in counter-rotating Stuart-Landau oscillators
| Autor: | Ram Ramaswamy, Samir Sahoo, Nirmal Punetha, Garima Saxena, Awadhesh Prasad, Vaibhav Varshney |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Coupling Oscillation media_common.quotation_subject Phase (waves) Rotational symmetry Deterministic dynamics Frustration 01 natural sciences 010305 fluids & plasmas Classical mechanics 0103 physical sciences Rotational invariance Symmetry (geometry) Phase velocity 010306 general physics media_common |
| Zdroj: | Physical Review E |
| ISSN: | 2470-0053 2470-0045 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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