Pinning in a system of swarmalators

Sar, Gourab Kumar; Ghosh, Dibakar; O’Keeffe, Kevin

doi:10.1103/physreve.107.024215

Cited by 24 publications

(3 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The method was utilized in a bunch of problems previously in mobile oscillators 31,32 and have inspired similar works on swarmalators also. [33][34][35][36] Synchronization of uncoupled oscillators using noise of specific intensity is an explored aspect of noise-induced phenomena in dynamical systems. Noise-induced complete synchronization was achieved in two identical Lorenz attractors, while phase synchronization happens in non-identical attractors.…”

Section: Articlementioning

confidence: 99%

Direction-dependent noise-induced synchronization in mobile oscillators

Shajan

Ghosh

Kurths

et al. 2023

Chaos: An Interdisciplinary Journal of Nonlinear Science

Self Cite

View full text Add to dashboard Cite

Synchronization among uncoupled oscillators can emerge when common noise is applied on them and is famously known as noise-induced synchronization. In previous studies, it was assumed that common noise may drive all the oscillators at the same time when they are static in space. Understanding how to develop a mathematical model that apply common noise to only a fraction of oscillators is of significant importance for noise-induced synchronization. Here, we propose a direction-dependent noise field model for noise-induced synchronization of an ensemble of mobile oscillators/agents, and the effective noise on each moving agent is a function of its direction of motion. This enables the application of common noise if the agents are oriented in the same direction. We observe not only complete synchronization of all the oscillators but also clustered states as a function of the ensemble density beyond a critical value of noise intensity, which is a characteristic of the internal dynamics of the agents. Our results provide a deeper understanding on noise-induced synchronization even in mobile agents and how the mobility of agents affects the synchronization behaviors.

show abstract

Section: Articlementioning

confidence: 99%

Direction-dependent noise-induced synchronization in mobile oscillators

Shajan

Ghosh

Kurths

et al. 2023

Chaos: An Interdisciplinary Journal of Nonlinear Science

Self Cite

View full text Add to dashboard Cite

show abstract

“…To better the study of network synchronization phenomena, scholars have introduced the Kuramoto model [9], the Boid model [10], the Vicsek model [11], etc. The Kuramoto model is obtained based on Winfree research, which retains the conditions of the coupled-phase oscillator model and describes the dynamical characteristics of nonlinear network systems in the presence of coupled states in a very good approximation [9] Due to the significant advantages of the Kuramoto model in understanding system synchronization and stability, it has received widespread attention from scholars [12][13][14][15][16][17][18] Reference [15] considered cluster synchronization in oscillator networks with heterogenous Kuramoto dynamics and provided conditions for the asymptotic stability of cluster synchronization manifolds [16] investigated the Kuramoto-oscillator network synchronization with the sampled-data updating rule and derived the synchronization condition [17] solved the problem of the Kuramoto-oscillator network synchronization using event-triggered delay pulse control. A new control protocol is used to provide synchronization criteria for Kuramoto-oscillator networks.…”

Section: Introductionmentioning

confidence: 99%

Stochastic synchronization of Kuramoto-oscillator network with pinning control

Zhu,

Li,

Sun

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

The issue of time cost for the Kuramoto-oscillator network synchronization has received widespread attention. However, there is no relevant research on the stochastic synchronization of the Kuramoto-oscillator network with partial uncontrollable oscillators. This article investigates the synchronization problem of the Kuramoto-oscillator network in noisy environments using the pinning control strategy and multilayer distributed control. Previous research requires control of all oscillators, which implies a great control cost. To reduce the control cost, the ﬁnite/ﬁxed time controllers with pinning control are designed to provide the conditions for synchronization in noisy environments, and then the upper bounds on the convergence time of the network are estimated. Finally, numerical simulations are performed to justify the theoretical conclusions.

show abstract

“…Analyses of the emerging states had been possible when the model is studied with nonidentical velocities and frequencies 34 , distributed couplings 35 , random pinning 36,37 , thermal noise 38 , phase lags 39 , etc. All these prior research on swarmalators has predominantly focused on a thorough exploration of their behavior within the framework of pairwise interactions among the constituent entities of the system.…”

mentioning

confidence: 99%

Collective dynamics of swarmalators with higher-order interactions

Anwar,

Sar,

Perc

et al. 2024

Commun Phys

Self Cite

View full text Add to dashboard Cite

Higher-order interactions shape collective dynamics, but how they affect transitions between different states in swarmalator systems is yet to be determined. To that effect, we here study an analytically tractable swarmalator model that incorporates both pairwise and higher-order interactions, resulting in four distinct collective states: async, phase wave, mixed, and sync states. We show that even a minute fraction of higher-order interactions induces abrupt transitions from the async state to the phase wave and the sync state. We also show that higher-order interactions facilitate an abrupt transition from the phase wave to the sync state bypassing the intermediate mixed state. Moreover, elevated levels of higher-order interactions can sustain the presence of phase wave and sync state, even when pairwise interactions lean towards repulsion. The insights gained from these findings unveil self-organizing processes that hold the potential to explain sudden transitions between various collective states in numerous real-world systems.

show abstract

Pinning in a system of swarmalators

Cited by 24 publications

References 60 publications

Direction-dependent noise-induced synchronization in mobile oscillators

Direction-dependent noise-induced synchronization in mobile oscillators

Stochastic synchronization of Kuramoto-oscillator network with pinning control

Collective dynamics of swarmalators with higher-order interactions

Contact Info

Product

Resources

About