446 citations · 1.5k across the 20 of their papers we have counts for
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Chimera states for directed networks
Patrycja Jaros, Roman Levchenko, Tomasz Kapitaniak +1
We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillat…
Riddling: Chimera's dilemma
Vagner dos Santos, José Danilo Szezech Júnior, Antonio Marcos Batista +8
We investigate the basin of attraction properties and its boundaries for chimera states in a circulant network of Hénon maps. Chimera states, for which coherent and incoherent doma…
Solitary states for coupled oscillators
Patrycja Jaros, Serhiy Brezetsky, Roman Levchenko +3
We demonstrate that solitary states can be widely observed for networks of coupled oscillators with local, non-local and global couplings, and they preserve in both thermodynamic a…
The smallest chimera states
Yuri Maistrenko, Serhiy Brezetsky, Patrycja Jaros +2
We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras…
Cascades of Multi-headed Chimera States for Coupled Phase Oscillators
Yuri L. Maistrenko, Anna Vasylenko, Oleksandr Sudakov +2
Chimera state is a recently discovered dynamical phenomenon in arrays of nonlocally coupled oscillators, that displays a self-organized spatial pattern of co-existing coherence and…
Transition from spatial coherence to incoherence in coupled chaotic systems
Iryna Omelchenko, Bruno Riemenschneider, Philipp Hövel +2
We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal interactions, where each element is coupled to its nearest neighbors within a finite range. Dep…
From synchronization to Lyapunov exponents and back
Antonio Politi, Francesco Ginelli, Serhiy Yanchuk +1
The goal of this paper is twofold. In the first part we discuss a general approach to determine Lyapunov exponents from ensemble- rather than time-averages. The approach passes thr…