4.7 Article

Dynamical origin of the explosive synchronization with partial adaptive coupling

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Interdisciplinary Applications

Explosive synchronization in phase oscillator populations with attractive and repulsive adaptive interactions

Xuan Wang et al.

Summary: The attractive and repulsive adaptive coupling schemes among dynamical agents have attracted increasing interest in systems ranging from physics to neuroscience. By extending the classical Kuramoto model, we propose a particular adaptive scheme for globally coupled phase oscillators, which captures the explosive synchronization induced by adaptive interactions. Our simulations reveal the transitions of overall weights and correlations between microscopic structure features and local dynamics as triggers for explosive synchronization, providing insights into the formation of small synchronized clusters. We also provide an analytical treatment for the reduced system, enhancing the understanding of abrupt dynamic phenomena in networked oscillators with generic adaptive schemes.

CHAOS SOLITONS & FRACTALS (2023)

Article Mathematics, Interdisciplinary Applications

Enhanced explosive synchronization in heterogeneous oscillator populations with higher-order interactions

Can Xu et al.

Summary: This study generalizes the Kuramoto model with heterogeneous coupling by incorporating higher-order interactions encoded with simplicial complexes. The introduced nonlinear couplings enhance explosive synchronization and improve the critical thresholds, backward critical order parameter, and width of hysteresis. An analytical treatment is provided to understand the stability properties of equilibrium states at different levels and locate critical points. This study highlights the importance of higher-order interactions in dynamical systems and provides control strategies for induced abrupt emergent phenomena in networked systems.

CHAOS SOLITONS & FRACTALS (2023)

Review Physics, Multidisciplinary

The synchronized dynamics of time-varying networks

Dibakar Ghosh et al.

Summary: Complex network theory has provided an ideal framework for studying the relationships between the connectivity patterns and emergent synchronized functioning in systems. This review summarizes the major results of contemporary studies on synchronization in time-varying networks, focusing on two paradigmatic frameworks. It also discusses promising directions and open problems for future research.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2022)

Article Physics, Multidisciplinary

Hebbian plasticity rules abrupt desynchronization in pure simplicial complexes

Ajay Deep Kachhvah et al.

Summary: This letter investigates the effects of adaptive development of pure two- and three-simplicial complexes on the nature of the transition to desynchrony of oscillator ensembles. The adaptation in the pure simplicial coupling is based on the Hebbian learning rule, where the coupling weight increases if the oscillators forming it are in phase and decreases if they are out of phase. The coupling weights in these pure simplicial complexes give rise to first-order routes to desynchronization, which are entirely characterized by respective Hebbian learning parameters.

NEW JOURNAL OF PHYSICS (2022)

Article Physics, Multidisciplinary

Generic criterion for explosive synchronization in heterogeneous phase oscillator populations

Can Xu et al.

Summary: This study provides an exact criterion for explosive synchronization in coupled phase oscillator ensembles, revealing the relationship between dynamic and structural disorder in complex systems. It is crucial for understanding abrupt phase transitions and bistability in biological and engineered systems.

PHYSICAL REVIEW RESEARCH (2022)

Article Physics, Multidisciplinary

Double explosive transition in the synchronization of multilayer networks

Tianwei Wu et al.

Summary: The study shows that consecutive explosive transitions may occur in two-layered networks when a dynamical layer interacts with an environmental layer of oscillators in approximate synchronization. The mechanisms behind the two transitions are different, with the disorder originating from coupling amplification and synchronization from coupling-induced processes.

PHYSICAL REVIEW RESEARCH (2022)

Article Multidisciplinary Sciences

A universal route to explosive phenomena

Christian Kuehn et al.

Summary: Critical transitions are observed in complex systems, such as synchronization in coupled oscillator networks and epidemic states in populations. The emergence of explosive first-order transitions has garnered attention when classical models are generalized with additional effects. Mathematical arguments suggest that the change in criticality is universally expected when a classical model is varied along a generic two-parameter family. Three explicit examples of this effect are illustrated in different physical systems.

SCIENCE ADVANCES (2021)

Article Physics, Fluids & Plasmas

Collective dynamics of phase oscillator populations with three-body interactions

Xuan Wang et al.

Summary: This study investigates the effects of many-body interactions on collective dynamics in a system of globally coupled heterogeneous phase oscillators. It reveals a sudden desynchronization transition and explosive synchronization, with mathematical arguments and stability analysis supporting the expected dynamic pattern. The work uncovers a self-organized phenomenon responsible for rapid switching to synchronization in complex systems with critical transitions involving nonpairwise interactions.

PHYSICAL REVIEW E (2021)

Article Physics, Multidisciplinary

Spectrum of extensive multiclusters in the Kuramoto model with higher-order interactions

Can Xu et al.

Summary: Globally coupled ensembles of phase oscillators are useful for modeling synchronization and collective behavior, and the extended Kuramoto model with three-way interactions displays novel dynamical properties. By studying the spectral properties of multicluster states, we can provide a rigorous description of their stability.

PHYSICAL REVIEW RESEARCH (2021)

Article Physics, Multidisciplinary

Collective dynamics of heterogeneously and nonlinearly coupled phase oscillators

Can Xu et al.

Summary: This study advances the field of synchronization by investigating a variant of the Kuramoto model with heterogeneous and nonlinear coupling between phase oscillators, revealing a variety of complex collective dynamics including explosive synchronization transitions, hybrid transitions, and irreversible desynchronization transitions. The research provides theoretical foundations for understanding self-organized phenomena responsible for the emergence of collective rhythms in complex systems.

PHYSICAL REVIEW RESEARCH (2021)

Article Mathematics, Interdisciplinary Applications

Explosive synchronization in populations of cooperative and competitive oscillators

Xiangfeng Dai et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Physics, Multidisciplinary

Interlayer Hebbian plasticity induces first-order transition in multiplex networks

Ajay Deep Kachhvah et al.

NEW JOURNAL OF PHYSICS (2020)

Article Physics, Multidisciplinary

Interlayer adaptation-induced explosive synchronization in multiplex networks

Anil Kumar et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Physics, Multidisciplinary

Bifurcation analysis and structural stability of simplicial oscillator populations

Can Xu et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Mathematics, Applied

Explosive synchronization transition in a ring of coupled oscillators

Wei Chen et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2019)

Article Physics, Multidisciplinary

Abrupt Desynchronization and Extensive Multistability in Globally Coupled Oscillator Simplexes

Per Sebastian Skardal et al.

PHYSICAL REVIEW LETTERS (2019)

Review Physics, Condensed Matter

Explosive phenomena in complex networks

Raissa M. D'Souza et al.

ADVANCES IN PHYSICS (2019)

Article Physics, Fluids & Plasmas

Phase transition to synchronization in generalized Kuramoto model with low-pass filter

Wei Zou et al.

PHYSICAL REVIEW E (2019)

Article Physics, Fluids & Plasmas

Emergent explosive synchronization in adaptive complex networks

Vanesa Avalos-Gaytan et al.

PHYSICAL REVIEW E (2018)

Article Physics, Fluids & Plasmas

Explosive synchronization in phase-frustrated multiplex networks

Pitambar Khanra et al.

PHYSICAL REVIEW E (2018)

Article Physics, Multidisciplinary

Coupling functions: Universal insights into dynamical interaction mechanisms

Tomislav Stankovski et al.

REVIEWS OF MODERN PHYSICS (2017)

Article Physics, Multidisciplinary

Coexistence of Quantized, Time Dependent, Clusters in Globally Coupled Oscillators

Hongjie Bi et al.

PHYSICAL REVIEW LETTERS (2016)

Review Physics, Multidisciplinary

Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization

S. Boccaletti et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2016)

Review Physics, Multidisciplinary

The Kuramoto model in complex networks

Francisco A. Rodrigues et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2016)

Article Mathematics, Applied

Dynamics of globally coupled oscillators: Progress and perspectives

Arkady Pikovsky et al.

Article Physics, Fluids & Plasmas

Effective centrality and explosive synchronization in complex networks

A. Navas et al.

PHYSICAL REVIEW E (2015)

Article Physics, Multidisciplinary

Explosive Synchronization in Adaptive and Multilayer Networks

Xiyun Zhang et al.

PHYSICAL REVIEW LETTERS (2015)

Article Physics, Fluids & Plasmas

Explosive synchronization in weighted complex networks

I. Leyva et al.

PHYSICAL REVIEW E (2013)

Article Physics, Fluids & Plasmas

Explosive synchronization in a general complex network

Xiyun Zhang et al.

PHYSICAL REVIEW E (2013)

Article Physics, Multidisciplinary

Networks formed from interdependent networks

Jianxi Gao et al.

NATURE PHYSICS (2012)

Article Physics, Multidisciplinary

Multistable Attractors in a Network of Phase Oscillators with Three-Body Interactions

Takuma Tanaka et al.

PHYSICAL REVIEW LETTERS (2011)

Article Physics, Multidisciplinary

Explosive Synchronization Transitions in Scale-Free Networks

Jesus Gomez-Gardenes et al.

PHYSICAL REVIEW LETTERS (2011)

Article Physics, Multidisciplinary

Robustness of a Network of Networks

Jianxi Gao et al.

PHYSICAL REVIEW LETTERS (2011)

Article Physics, Fluids & Plasmas

Spontaneous synchronization of coupled oscillator systems with frequency adaptation

Dane Taylor et al.

PHYSICAL REVIEW E (2010)

Article Physics, Multidisciplinary

Co-evolution of Phases and Connection Strengths in a Network of Phase Oscillators

Takaaki Aoki et al.

PHYSICAL REVIEW LETTERS (2009)

Review Physics, Multidisciplinary

The Kuramoto model: A simple paradigm for synchronization phenomena

JA Acebron et al.

REVIEWS OF MODERN PHYSICS (2005)