Interplay of inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators

DOI10.1142/S0219530516500111zbMath1381.70030OpenAlexW2347125619MaRDI QIDQ5356935

Seung-Yeal Ha, Se Eun Noh, Jinyeong Park

Publication date: 12 September 2017

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530516500111

zbMATH Keywords

inertiaKuramoto oscillatorspractical synchronizationheterogeneous dynamics

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Dynamics of a system of particles, including celestial mechanics (70F99) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (7)

Emergent behaviors of the Schrödinger-Lohe model on cooperative-competitive networks ⋮ The Wigner-Lohe model for quantum synchronization and its emergent dynamics ⋮ Global and local performance metric with inertia effects ⋮ Dynamical system approach to synchronization of the coupled Schrödinger–Lohe system ⋮ Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings ⋮ Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators ⋮ Emergence of synchronous behaviors for the Schrödinger–Lohe model with frustration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Emergence of phase-locked states for the Kuramoto model in a large coupling regime
• Effective synchronization of a class of Chua's chaotic systems using an exponential feedback coupling
• Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
• Synchronization in complex networks of phase oscillators: a survey
• Complete synchronization of Kuramoto oscillators with finite inertia
• Complete synchronization of Kuramoto oscillators with hierarchical leadership
• Chemical oscillations, waves, and turbulence
• Practical adaptive synchronization of a class of uncertain chaotic systems
• Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics
• Constants of motion for superconducting Josephson arrays
• Human sleep and circadian rhythms: a simple model based on two coupled oscillators
• Practical synchronization of second-order nonautonomous systems with parameter mismatch and its applications
• On the complete synchronization of the Kuramoto phase model
• On the chaos synchronization phenomena
• Formation of phase-locked states in a population of locally interacting Kuramoto oscillators
• Synchronization analysis of Kuramoto oscillators
• Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
• The spectrum of the locked state for the Kuramoto model of coupled oscillators
• The spectrum of the partially locked state for the Kuramoto model
• Global Phase-Locking in Finite Populations of Phase-Coupled Oscillators
• On Computing the Critical Coupling Coefficient for the Kuramoto Model on a Complete Bipartite Graph
• On Exponential Synchronization of Kuramoto Oscillators
• External periodic driving of large systems of globally coupled phase oscillators
• Low dimensional behavior of large systems of globally coupled oscillators
• Stability diagram for the forced Kuramoto model
• Remarks on the nonlinear stability of the Kuramoto model with inertia
• On the Critical Coupling for Kuramoto Oscillators

This page was built for publication: Interplay of inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators