Symmetry-Independent Stability Analysis of Synchronization Patterns

DOI10.1137/19M127358XzbMath1460.34066arXiv2003.05461OpenAlexW3095413310MaRDI QIDQ5140610

Yuanzhao Zhang, Adilson E. Motter

Publication date: 16 December 2020

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05461

zbMATH Keywords

symmetrydynamical systemssynchronizationmatrix \(*\)-algebrachimera statessimultaneous block diagonalization

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (3)

Stability of multiple attractors in the unidirectionally coupled circular networks of limit cycle oscillators ⋮ Exponential stability for systems of delay differential equations with block matrices ⋮ Synchronization scenarios in three-layer networks with a hub

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation
• A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming
• A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with general irreducible components
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• An adaptive chaos synchronization scheme applied to secure communication
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• The synchronization of chaotic systems
• Complex networks: structure and dynamics
• Experiments on autonomous Boolean networks
• Weak chimeras in minimal networks of coupled phase oscillators
• Computation of Balanced Equivalence Relations and Their Lattice for a Coupled Cell Network
• Decomposition of Nonlinear Delayed Networks around Cluster States with Applications to Neurodynamics
• Algorithm for Error-Controlled Simultaneous Block-Diagonalization of Matrices
• The Structure and Function of Complex Networks
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Time-delayed feedback control of coherence resonance chimeras
• The mathematics behind chimera states
• Inter-layer synchronization in multiplex networks of identical layers
• Consensus and Cooperation in Networked Multi-Agent Systems
• Identical synchronization of nonidentical oscillators: when only birds of different feathers flock together
• Graph partitions and cluster synchronization in networks of oscillators
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• CONTROL OF SYNCHRONIZATION IN DELAY-COUPLED NETWORKS
• Synchronization in chaotic systems
• Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint
• Synchronization of hypernetworks of coupled dynamical systems
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators
• Cluster synchronization in oscillatory networks
• Low dimensional behavior of large systems of globally coupled oscillators
• HYPERBOLIC PLYKIN ATTRACTOR CAN EXIST IN NEURON MODELS
• Nonlinear dynamics of networks: the groupoid formalism
• CHIMERA STATES IN A RING OF NONLOCALLY COUPLED OSCILLATORS

This page was built for publication: Symmetry-Independent Stability Analysis of Synchronization Patterns