On the intersection of a chaotic attractor and a chaotic repeller in the system of two adaptively coupled phase oscillators.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5130994
Abstract: We report on the phenomenon of intersection of a chaotic attractor and a chaotic repeller in a system of two adaptively coupled phase oscillators. This is a feature of the presence of the so-called mixed… read more here.
Keywords: attractor chaotic; system; intersection chaotic; chaotic attractor ... See more keywords
Efficient moment-based approach to the simulation of infinitely many heterogeneous phase oscillators.
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DOI: 10.1063/5.0093001
Abstract: The dynamics of ensembles of phase oscillators are usually described considering their infinite-size limit. In practice, however, this limit is fully accessible only if the Ott-Antonsen theory can be applied, and the heterogeneity is distributed… read more here.
Keywords: phase oscillators; moment; based approach; moment based ... See more keywords
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators.
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DOI: 10.1063/5.0098163
Abstract: We study chaotic dynamics in a system of four differential equations describing the interaction of five identical phase oscillators coupled via biharmonic function. We show that this system exhibits strange spiral attractors (Shilnikov attractors) with… read more here.
Keywords: system; phase oscillators; attractors two; zero lyapunov ... See more keywords
Synchronization of phase oscillators on complex hypergraphs.
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DOI: 10.1063/5.0116747
Abstract: We study the effect of structured higher-order interactions on the collective behavior of coupled phase oscillators. By combining a hypergraph generative model with dimensionality reduction techniques, we obtain a reduced system of differential equations for… read more here.
Keywords: phase oscillators; oscillators complex; phase; synchronization phase ... See more keywords
Synchronization in starlike networks of phase oscillators.
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DOI: 10.1103/physreve.100.012212
Abstract: We fully describe the mechanisms underlying synchronization in starlike networks of phase oscillators. In particular, the routes to synchronization and the critical points for the associated phase transitions are determined analytically. In contrast to the… read more here.
Keywords: synchronization starlike; phase oscillators; networks phase; starlike networks ... See more keywords
Contrariety and inhibition enhance synchronization in a small-world network of phase oscillators.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.054213
Abstract: We numerically study Kuramoto model synchronization consisting of the two groups of conformist-contrarian and excitatory-inhibitory phase oscillators with equal intrinsic frequency. We consider random and small-world (SW) topologies for the connectivity network of the oscillators.… read more here.
Keywords: fraction contrarians; model; network; synchronization ... See more keywords
Route to synchronization in coupled phase oscillators with frequency-dependent coupling: Explosive or continuous?
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DOI: 10.1103/physreve.106.044310
Abstract: Interconnected dynamical systems often transition between states of incoherence and synchronization due to changes in system parameters. These transitions could be continuous (gradual) or explosive (sudden) and may result in failures, which makes determining their… read more here.
Keywords: oscillators frequency; frequency dependent; phase oscillators; dependent coupling ... See more keywords
Robust formation of metachronal waves in directional chains of phase oscillators.
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DOI: 10.1103/physreve.107.034401
Abstract: Biological systems can rely on collective formation of a metachronal wave in an ensemble of oscillators for locomotion and for fluid transport. We consider one-dimensional chains of phase oscillators with nearest-neighbor interactions, connected in a… read more here.
Keywords: oscillator; phase oscillators; chains phase; phase ... See more keywords