Synchronization of first-order autonomous oscillators on Riemannian manifolds

DOI10.3934/dcdsb.2018233zbMath1416.37078OpenAlexW2889471452WikidataQ129322423 ScholiaQ129322423MaRDI QIDQ2633646

Simone Fiori

Publication date: 9 May 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018233

zbMATH Keywords

Lyapunov functionRiemannian manifoldasymptotic synchronizationfirst-order autonomous oscillator

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical systems in control (37N35) Control/observation systems governed by ordinary differential equations (93C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (3)

A Control-Theoretic Approach to the Synchronization of Second-Order Continuous-Time Dynamical Systems on Real Connected Riemannian Manifolds ⋮ Optimization of a control law to synchronize first-order dynamical systems on Riemannian manifolds by a transverse component ⋮ Minimal control effort and time Lie-group synchronisation design based on proportional-derivative control

Cites Work

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• Convergence rate of synchronization of systems with additive noise
• Synchronization in coupled stochastic sine-Gordon wave model
• Synchronization of Genesio chaotic system via backstepping approach
• A simple method to synchronize chaotic systems and its application to secure communications
• The synchronization of chaotic systems
• Nonlinear damped oscillators on Riemannian manifolds: numerical simulation
• Nonlinear damped oscillators on Riemannian manifolds: fundamentals
• Complex projective synchronization in drive-response stochastic coupled networks with complex-variable systems and coupling time delays
• Barycentric Subspaces and Affine Spans in Manifolds
• Complex dynamics and synchronization of delayed-feedback nonlinear oscillators
• Synchronization in complex oscillator networks and smart grids
• Consensus Optimization on Manifolds
• Robust Adaptive Asymptotic Tracking of Nonlinear Systems With Additive Disturbance

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