, independent of the amplitudes of other oscillators. With the amplitude fixed, each oscillator only has a degree of freedom in phase. Let , Equation 2 can be recast to Equation 3 is the well-known Kuramoto model. On the right side of this equation, there is a coupling term , which 'f...
, independent of the amplitudes of other oscillators. With the amplitude fixed, each oscillator only has a degree of freedom in phase. Let , Equation 2 can be recast to Equation 3 is the well-known Kuramoto model. On the right side of this equation, there is a coupling term , which 'f...
This paper studies a phase synchronization problem of the Kuramoto oscillator network model with timevarying coupling topology and stochastic interference, and proposes a fixed-time control method under event-triggered mechanism. A multi-layer event-triggered distributed control strategy is propose...
doi:10.1088/0256-307X/32/11/110503刘雨龙SchoolofMathematicsandPhysicsYanchengInstituteofTechnologyYancheng俞晓明SchoolofMathematicsandPhysicsYanchengInstituteofTechnologyYancheng郝玉华SchoolofMathematicsandPhysicsYanchengInstituteofTechnologyYanchengvipChinese Physics Letters...
This paper constructs a reinforcement learning (RL) based algorithm of Actor-Critic (AC) for the optimal synchronism of the Kuramoto oscillator. This is accomplished through the Ott-Antonsen ansatz framework for the dynamics of large interactive unit networks. Besides, this approach reduces the ...
In this paper, we focus on the issue of fixed-time synchronization for Kuramoto-oscillator networks. To reduce control costs, two effective aperiodically intermittent control protocols for both identical and nonidentical oscillators are proposed, which closely align with practical applications. By employing...
Article Open access 25 October 2024 Limits on Anti-Phase Synchronization in Oscillator Networks Article Open access 23 June 2020 The efficiency of synchronization dynamics and the role of network syncreactivity Article Open access 18 October 2024 Introduction...
(with the natural frequency\omega _1) to the faster oscillator (with the natural frequency\omega _0) becomes disconnected, while the synapse associated with the directional link from a faster oscillator to the slower oscillator, reaches the maximum value\alpha. The instantaneous frequencies of the...
couplingstrengthonthesynchronization,theconvergencerateoftheoscillator undercertainconditions.However,thespecificcharacterizationoftheequilibria andthestabilityanalysisarenotcomplete,sothispaperwillconsiderstabilityof fixedpointsofKMmodelandrelatedproblems.Themainworkofthispaperisas follows: Firstly,wediscussthestabilityofthe...
We also study analytically and numerically the Kuramoto model on star graphs and find that if the natural frequency of the central oscillator is sufficiently large in comparison to the average frequency of its neighbors, then synchronization emerges as a result of a first-order phase transition. ...