Characteristic distribution of finite-time Lyapunov exponents for chimera states
arXiv:1601.01538 · doi:10.1038/srep29213
Abstract
It is shown that probability densities of finite-time Lyapunov exponents, corresponding to chimera states, have a characteristic shape. Such distributions could be used as a signature of chimera states, particularly in systems for which the phases of all the oscillators cannot be measured directly. In such cases, the characteristic distribution may be obtained indirectly, via embedding techniques, thus making it possible to detect chimera states in systems where they could otherwise exist, unnoticed.
References in corpus (6)
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Characterizing dynamics with covariant Lyapunov vectors
- Generalized coupling in the Kuramoto model
- Chimeras in SQUID Metamaterials
- Structure of characteristic Lyapunov vectors in spatiotemporal chaos
- Chimera states in coupled Kuramoto oscillators with inertia