The existence and global stability of periodic solutions to coupled oscillators

DOI10.1080/00036811.2021.1942858zbMath1509.34055OpenAlexW3175175074MaRDI QIDQ6038949

Chun-Mei Zhang, Hui ling Chen, Unnamed Author

Publication date: 3 May 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1942858

zbMATH Keywords

periodic solutionscoupled oscillatorsgraph theorycoincidence degree theory

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (1)

Synchronisation and topology identification of stochastic delayed multi-group models with multi-dispersal and Markovian switching

Cites Work

• Unnamed Item
• Global stability of coupled nonlinear systems with Markovian switching
• Multiple periodic solutions in a delay-coupled system of neural oscillators
• Global stability for discrete Cohen-Grossberg neural networks with finite and infinite delays
• Global-stability problem for coupled systems of differential equations on networks
• Coincidence degree, and nonlinear differential equations
• The existence and global exponential stability of periodic solution for a neutral coupled system on networks with delays
• Boundedness for network of stochastic coupled Van der Pol oscillators with time-varying delayed coupling
• Stability for systems of 1-D coupled nonlinear oscillators
• Emergence of order from chaos: a phenomenological model of coupled oscillators
• Modal synchronization of coupled bistable van der Pol oscillators
• Dynamic behaviors in two-layer coupled oscillator system
• Graph-theoretic method on the periodicity of coupled predator-prey systems with infinite delays on a dispersal network
• The existence of periodic solutions for discrete-time coupled systems on networks with time-varying delay
• The existence of a stationary distribution for stochastic coupled oscillators
• On the instability tongues of the Hill equation coupled with a conservative nonlinear oscillator
• Efficient exponential time integration for simulating nonlinear coupled oscillators
• Amplitude death, oscillation death, and periodic regimes in dynamically coupled Landau-Stuart oscillators with and without distributed delay
• Periodic solutions of coupled systems on networks with both time-delay and linear coupling
• The existence of periodic solutions for coupled pantograph Rayleigh system
• A graph-theoretic approach to the method of global Lyapunov functions
• Graph‐theoretic method on the periodicity of multipatch dispersal predator‐prey system with Holling type‐II functional response
• Periodic solutions for neutral coupled oscillators network with feedback and time-varying delay

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