Collective chaos and period-doubling bifurcation in globally coupled phase oscillators
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DOI: 10.1007/s11071-017-3585-z
Abstract: Collective chaos has been intensively investigated in globally coupled map and oscillators in which the single unit is capable of producing chaos. In this work, we study collective chaos in globally coupled phase oscillators. We… read more here.
Keywords: collective chaos; period doubling; globally coupled; chaos ... See more keywords
Local control of an array of the globally coupled oscillators
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05418-3
Abstract: Two control methods for stabilization of the steady states of the globally coupled second-order oscillators via local feedback are described. The first technique is based on the proportional feedback with a constant adjustable reference. The… read more here.
Keywords: control; nagumo oscillators; fitzhugh nagumo; globally coupled ... See more keywords
Implementation of dynamic dual input multiple output logic gate via resonance in globally coupled Duffing oscillators.
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DOI: 10.1063/1.4997758
Abstract: We have used a system of globally coupled double-well Duffing oscillators under an enhanced resonance condition to design and implement Dual Input Multiple Output (DIMO) logic gates. In order to enhance the resonance, the first… read more here.
Keywords: input multiple; multiple output; resonance; globally coupled ... See more keywords
Blinking chimeras in globally coupled rotators.
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DOI: 10.1063/1.5105367
Abstract: In globally coupled ensembles of identical oscillators so-called chimera states can be observed. The chimera state is a symmetry-broken regime, where a subset of oscillators forms a cluster, a synchronized population, while the rest of… read more here.
Keywords: chimeras globally; blinking chimeras; globally coupled; chimera ... See more keywords
Effects of time delay on the synchronized states of globally coupled network.
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DOI: 10.1063/5.0002399
Abstract: The effects of the time delay on the stability of different synchronized states of a globally coupled network are investigated. Conditions for the stability of the synchronized fixed points, synchronized periodic orbits, or synchronized chaos… read more here.
Keywords: network; synchronized states; effects time; time ... See more keywords
Heterogeneity induced splay state of amplitude envelope in globally coupled oscillators.
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DOI: 10.1063/5.0130753
Abstract: Splay states of the amplitude envelope are stably observed as a heterogenous node is introduced into the globally coupled identical oscillators with repulsive coupling. With the increment of the frequency mismatches between the heterogenous nodes… read more here.
Keywords: amplitude envelope; globally coupled; splay state; splay ... See more keywords
Lyapunov spectra and collective modes of chimera states in globally coupled Stuart-Landau oscillators.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.022217
Abstract: Oscillatory systems with long-range or global coupling offer promising insight into the interplay between high-dimensional (or microscopic) chaotic motion and collective interaction patterns. Within this paper, we use Lyapunov analysis to investigate whether chimera states… read more here.
Keywords: states globally; stuart landau; chimera states; collective modes ... See more keywords
Boundary in the dynamic phase of globally coupled oscillatory and excitable units.
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DOI: 10.1103/physreve.96.012210
Abstract: There is a crucial boundary between dynamic phase 1 and dynamic phase 2 of globally coupled oscillatory and excitable units, where the mean field is constant and oscillates in the former and the latter, respectively.… read more here.
Keywords: coupled oscillatory; phase; boundary dynamic; dynamic phase ... See more keywords