Search Results - "Pikovsky, Arkady"

Maximizing Coherence of Oscillations by External Locking by Pikovsky, Arkady

“…We study how coherence of noisy oscillations can be optimally enhanced by external locking. Based on the condition of minimizing the phase diffusion constant,…”
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Chimeralike states in an ensemble of globally coupled oscillators by Yeldesbay, Azamat, Pikovsky, Arkady, Rosenblum, Michael

“…We demonstrate the emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in…”
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Partially integrable dynamics of hierarchical populations of coupled oscillators by Pikovsky, Arkady, Rosenblum, Michael

“…We consider oscillator ensembles consisting of subpopulations of identical units, with a general heterogeneous coupling between subpopulations. Using the…”
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Dynamics of oscillator populations with disorder in the coupling phase shifts by Pikovsky, Arkady, Bagnoli, Franco

“…Abstract We study populations of oscillators, all-to-all coupled by means of quenched disordered phase shifts. While there is no traditional synchronization…”
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Network reconstruction from random phase resetting by Levnajić, Zoran, Pikovsky, Arkady

“…We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the…”
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Phase-locking dynamics of heterogeneous oscillator arrays by Lepri, Stefano, Pikovsky, Arkady

“…•We study arrays of nearest-neighbor-coupled nonlinear autonomous oscillators with quenched random frequencies and conservative coupling.•We demonstrate global…”
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Multiplicity of singular synchronous states in the Kuramoto model of coupled oscillators by Komarov, Maxim, Pikovsky, Arkady

“…We study the Kuramoto model of globally coupled oscillators with a biharmonic coupling function. We develop an analytic self-consistency approach to find…”
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Nonlinear phase coupling functions: a numerical study by Rosenblum, Michael, Pikovsky, Arkady

“…Phase reduction is a general tool widely used to describe forced and interacting self-sustained oscillators. Here, we explore the phase coupling functions…”
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Stochastic bursting in networks of excitable units with delayed coupling by Zheng, Chunming, Pikovsky, Arkady

“…We investigate the phenomenon of stochastic bursting in a noisy excitable unit with multiple weak delay feedbacks, by virtue of a directed tree lattice model…”
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Dynamics of Noisy Oscillator Populations beyond the Ott-Antonsen Ansatz by Tyulkina, Irina V, Goldobin, Denis S, Klimenko, Lyudmila S, Pikovsky, Arkady

“…We develop an approach for the description of the dynamics of large populations of phase oscillators based on "circular cumulants" instead of the…”
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Chimeras and complex cluster states in arrays of spin-torque oscillators by Zaks, Michael, Pikovsky, Arkady

“…We consider synchronization properties of arrays of spin-torque nano-oscillators coupled via an RC load. We show that while the fully synchronized state of…”
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Reconstructing effective phase connectivity of oscillator networks from observations by Kralemann, Björn, Pikovsky, Arkady, Rosenblum, Michael

“…We present a novel approach for recovery of the directional connectivity of a small oscillator network by means of the phase dynamics reconstruction from…”
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Real-time estimation of phase and amplitude with application to neural data by Rosenblum, Michael, Pikovsky, Arkady, Kühn, Andrea A., Busch, Johannes L.

“…Computation of the instantaneous phase and amplitude via the Hilbert Transform is a powerful tool of data analysis. This approach finds many applications in…”
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integrated model of fixational eye movements and microsaccades by Engbert, Ralf, Mergenthaler, Konstantin, Sinn, Petra, Pikovsky, Arkady

“…When we fixate a stationary target, our eyes generate miniature (or fixational) eye movements involuntarily. These fixational eye movements are classified as…”
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Pulsatile desynchronizing delayed feedback for closed-loop deep brain stimulation by Popovych, Oleksandr V, Lysyansky, Borys, Rosenblum, Michael, Pikovsky, Arkady, Tass, Peter A

“…High-frequency (HF) deep brain stimulation (DBS) is the gold standard for the treatment of medically refractory movement disorders like Parkinson's disease,…”
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Interplay of coupling and common noise at the transition to synchrony in oscillator populations by Pimenova, Anastasiya V., Goldobin, Denis S., Rosenblum, Michael, Pikovsky, Arkady

“…There are two ways to synchronize oscillators: by coupling and by common forcing, which can be pure noise. By virtue of the Ott-Antonsen ansatz for…”
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Inferring connectivity of an oscillatory network via the phase dynamics reconstruction by Rosenblum, Michael, Pikovsky, Arkady

“…We review an approach for reconstructing oscillatory networks' undirected and directed connectivity from data. The technique relies on inferring the phase…”
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Correction to: Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble by Goldobin, Denis S., Pimenova, Anastasiya V., Rosenblum, Michael, Pikovsky, Arkady

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Phase description of stochastic oscillations by Schwabedal, Justus T C, Pikovsky, Arkady

“…We introduce an invariant phase description of stochastic oscillations by generalizing the concept of standard isophases. The average isophases are constructed…”
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Author Correction: Interplay of coupling and common noise at the transition to synchrony in oscillator populations by Pimenova, Anastasiya V., Goldobin, Denis S., Rosenblum, Michael, Pikovsky, Arkady

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