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Synchronization of oscillations is a phenomenon prevalent in natural, social, and engineering systems. Controlling synchronization of oscillating systems is motivated by a wide range of applications from neurological treatment of…

Optimization and Control · Mathematics 2015-03-19 Jr-Shin Li , Isuru Dasanayake , Justin Ruths

A universal approach is proposed for suppression of collective synchrony in a large population of interacting rhythmic units. We demonstrate that provided that the internal coupling is weak, stabilization of overall oscillations with…

Adaptation and Self-Organizing Systems · Physics 2011-11-08 Ming Luo , Yongjun Wu

The collective behavior of biological oscillators has been recognized as an important problem for several decades, but its control has come into limelight only recently. Much of the focus for control has been on desynchronization of an…

Adaptation and Self-Organizing Systems · Physics 2019-07-09 Bharat Monga , Jeff Moehlis

Many coordination phenomena in Nature are grounded on a synchronisation regime. In the case of brain dynamics, such self-organised process allows the neurons of particular brain regions to behave as a whole and thus directly controlling the…

Adaptation and Self-Organizing Systems · Physics 2018-10-02 Malbor Asllani , Timoteo Carletti

Collective synchronization in a large population of self-sustained units appears both in natural and engineered systems. Sometimes this effect is in demand, while in some cases, it is undesirable, which calls for control techniques. In this…

Chaotic Dynamics · Physics 2024-08-14 Erik T. K. Mau , Michael Rosenblum

Synchronization and emergence of a collective mode is a general phenomenon, frequently observed in ensembles of coupled self-sustained oscillators of various natures. In several circumstances, in particular in cases of neurological…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Ghazal Montaseri , Mohammad Javad Yazdanpanah , Arkady Pikovsky , Michael Rosenblum

The synchronized activity of neuronal populations can lead to pathological over-synchronization in conditions such as epilepsy and Parkinson disease. Such states can be desynchronized by brief electrical pulses. But when the underlying…

Neurons and Cognition · Quantitative Biology 2026-03-16 Ramón Guevara , Marco Zenari , Giorgio Nicoletti , Elisa Marini , Samir Suweis , Sandro Azaele , Marco Formentin

Cluster synchronization is of great importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are closely associated with various malfunctions, such as…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Yuzhen Qin , Alberto Maria Nobili , Danielle S. Bassett , Fabio Pasqualetti

Cluster synchronization is of paramount importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are closely associated with various malfunctions, such as…

Optimization and Control · Mathematics 2023-08-15 Yuzhen Qin , Alberto Maria Nobili , Danielle S. Bassett , Fabio Pasqualetti

In this paper, we propose a dynamic delayed feedback control approach for desynchronization of chaotic-bursting synchronous activities in an ensemble of globally coupled neuronal oscillators. We demonstrate that the difference signal…

Chaotic Dynamics · Physics 2015-06-19 Yanqiu Che , Tingting Yang , Ruixue Li , Huiyan Li , Chunxiao Han , Jiang Wang , Xile Wei

We present a framework for controlling the collective phase of a system of coupled oscillators described by the Kuramoto model under the influence of a periodic external input by combining the methods of dynamical reduction and optimal…

Adaptation and Self-Organizing Systems · Physics 2025-04-15 Narumi Fujii , Hiroya Nakao

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each member of the population and their mutual interaction that…

Condensed Matter · Physics 2009-10-28 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera , Alex Arenas

We investigate collective synchronization in a system of coupled oscillators on small-world networks. The order parameters which measure synchronization of phases and frequencies are introduced and analyzed by means of dynamic simulations…

Disordered Systems and Neural Networks · Physics 2009-11-07 H. Hong , M. Y. Choi , Beom Jun Kim

Pulse-coupled oscillator models inspired by firefly synchronization are widely used to study decentralized time coordination in distributed systems. We analyze a discrete-time, discrete-phase firefly-inspired synchronization model and show…

Multiagent Systems · Computer Science 2026-05-19 Till Aust , Tianfu Zhang , Andreagiovanni Reina , Heiko Hamann

In this paper, we derive the minimum-energy periodic control that entrains an ensemble of structurally similar neural oscillators to a desired frequency. The state space representation of a nominal oscillator is reduced to a phase model by…

Neurons and Cognition · Quantitative Biology 2012-02-24 Anatoly Zlotnik , Jr-Shin Li

Clock synchronization is a widely discussed topic in the engineering literature. Ensuring that individual clocks are closely aligned is important in network systems, since the correct timing of various events in a network is usually…

Systems and Control · Computer Science 2017-04-25 Timothy Anglea , Yongqiang Wang

We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony level in a neuronal population from a point process…

Neurons and Cognition · Quantitative Biology 2025-03-25 Arkady Pikovsky , Michael Rosenblum

Motivated by the aim to find new medical strategies to suppress undesirable neural synchronization we study the control of oscillations in a system of inhibitory coupled noisy oscillators. Using dynamical properties of inhibition, we find…

Disordered Systems and Neural Networks · Physics 2009-05-27 C. J. Tessone , E. Ullner , A. A. Zaikin , J. Kurths , R. Toral

We address the problem of steering the phase distribution of oscillators all receiving the same control input to a given target distribution. In a large population limit, the distribution of oscillators can be described by a probability…

Systems and Control · Electrical Eng. & Systems 2025-07-30 Kaito Ito , Haruhiro Kume , Hideaki Ishii

Dense spin ensembles in solids present a natural platform for studying quantum many-body dynamics. Multiple-pulse coherent control can be used to manipulate the magnetic dipolar interaction between the spins to engineer their dynamics.…

Quantum Physics · Physics 2024-12-24 Linta Joseph , Wynter Alford , Chandrasekhar Ramanathan
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