Obtaining certificates for complete synchronisation of coupled oscillators

DOI10.1016/j.physd.2010.12.008zbMath1218.34057OpenAlexW1984924768MaRDI QIDQ633756

Elias August, Mauricio Barahona

Publication date: 29 March 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/10411

zbMATH Keywords

semidefinite programmingLyapunov theorycontraction theoryBendixson's criterion for higher dimensionssum of squares decompositionsynchronisation of coupled oscillators

Mathematics Subject Classification ID

Semidefinite programming (90C22) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Global stability of solutions to ordinary differential equations (34D23) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (3)

Review on contraction analysis and computation of contraction metrics ⋮ Finding positively invariant sets and proving exponential stability of limit cycles using sum-of-squares decompositions ⋮ A graph‐theoretic approach to stability of neutral stochastic coupled oscillators network with time‐varying delayed coupling

Uses Software

• Sostools
• SeDuMi
• YALMIP

Cites Work

• Unnamed Item
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