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We study a generic model of globally coupled rotors that includes the effects of noise, phase shift in the coupling, and distributions of moments of inertia and natural frequencies of oscillation. As particular cases, the setup includes…

混沌动力学 · 物理学 2014-07-11 Maxim Komarov , Shamik Gupta , Arkady Pikovsky

We consider the stability of synchronized states (including equilibrium point, periodic orbit or chaotic attractor) in arbitrarily coupled dynamical systems (maps or ordinary differential equations). We develop a general approach, based on…

混沌动力学 · 物理学 2009-11-07 Yonghong Chen , Govindan Rangarajan , Mingzhou Ding

Although synchronization has been extensively studied, important processes underlying its emergence have remained hidden by the use of global order parameters. Here, we uncover how the route unfolds through a sequential transition between…

适应与自组织系统 · 物理学 2025-11-13 I. Leyva , Irene Sendiña-Nadal , Christophe Letellier , J. R. Sevilla-Escoboza , V. P. Vera-Ávila

For decades, power system stabilizers paired with high initial response automatic voltage regulators have served as an effective means of meeting sometimes conflicting system stability requirements. Driven primarily by increases in power…

系统与控制 · 电气工程与系统科学 2020-12-08 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

Contraction theory is a powerful tool for proving asymptotic properties of nonlinear dynamical systems including convergence to an attractor and entrainment to a periodic excitation. We consider three generalizations of contraction with…

动力系统 · 数学 2015-06-23 Michael Margaliot , Eduardo D. Sontag , Tamir Tuller

We study the impact of competing time delays in coupled stochastic synchronization and coordination problems. We consider two types of delays: transmission delays between interacting elements and processing, cognitive, or execution delays…

统计力学 · 物理学 2011-01-12 D. Hunt , G. Korniss , B. K. Szymanski

Finding conditions that support synchronization is a fertile and active area of research with applications across multiple disciplines. Here we present and analyze a scheme for synchronizing chaotic dynamical systems by transiently…

混沌动力学 · 物理学 2015-08-27 Malte Schröder , Manu Mannattil , Debabrata Dutta , Sagar Chakraborty , Marc Timme

We study a large population of globally coupled phase oscillators subject to common white Gaussian noise and find analytically that the critical coupling strength between oscillators for synchronization transition decreases with an increase…

适应与自组织系统 · 物理学 2010-07-02 Ken H. Nagai , Hiroshi Kori

We analyze the simplest model of identical coupled phase oscillators subject to two-body and three-body interactions with permutation symmetry. This model is derived from an ensemble of weakly coupled nonlinear oscillators by phase…

适应与自组织系统 · 物理学 2025-10-22 Iván León , Riccardo Muolo , Shigefumi Hata , Hiroya Nakao

The occurrence of abrupt dynamical transitions in the macroscopic state of a system has received growing attention. We present experimental evidence for abrupt transition via explosive synchronization in a real-world complex system, namely…

流体动力学 · 物理学 2023-09-18 Amal Joseph , Induja Pavithran , R. I. Sujith

In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability,…

物理与社会 · 物理学 2015-06-24 Zhao Zhuo , Shi-Min Cai , Zhong-Qian Fu

This study examines the transient stability of low-inertia power systems with inverter-based generation (IBG) and proposes a sufficient stability criterion. In low-inertia grids, transient interactions are induced between the…

系统与控制 · 电气工程与系统科学 2022-04-22 Changjun He , Xiuqiang He , Hua Geng , Huadong Sun , Shiyun Xu

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of…

We consider a generic class of gene circuits affected by nonlinear extrinsic noise. To address this nonlinearity we introduce a general perturbative methodology based on assuming timescale separation between noise and genes dynamics, with…

分子网络 · 定量生物学 2023-05-10 Gerardo Aquino , Andrea Rocco

The appearance of the chaotic synchronization regimes has been discovered for the coupled spatially extended beam-plasma Pierce systems. The coupling was introduced only on the right bound of each subsystem. It has been shown that with…

等离子体物理 · 物理学 2009-11-11 Roman A. Filatov , Alexander E. Hramov , Alexey A. Koronovskii

We study the decoherence dynamics of dipole-coupled two-level quantum systems in Ramsey-type experiments. We focus on large networks of two-level systems, confined to two spatial dimensions and with positional disorder giving rise to…

量子气体 · 物理学 2017-11-15 M. P. Kwasigroch , N. R. Cooper

We investigate the phenomenon of transition to synchronization in Sakaguchi-Kuramoto model in the presence of higher-order interactions and global order parameter adaptation. The investigation is done by performing extensive numerical…

适应与自组织系统 · 物理学 2024-06-10 Sangita Dutta , Prosenjit Kundu , Pitambar Khanra , Chittaranjan Hens , Pinaki Pal

We investigate the phase diagram and the nature of the phase transitions of three-dimensional lattice gauge-Higgs models obtained by gauging the Z_N subgroup of the global Z_q invariance group of the Z_q clock model (N is a submultiple of…

统计力学 · 物理学 2022-06-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

无序系统与神经网络 · 物理学 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

混沌动力学 · 物理学 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi