Synchronization theory for forced oscillations in second-order systems

DOI10.1007/BF00939134zbMath0544.93035OpenAlexW2079358719MaRDI QIDQ797538

J. A. M. Bollen

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939134

zbMATH Keywords

maximum amplitudeDuffing equationvan der Pol equationsynchronization theorypiecewise continuous controls

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control/observation systems governed by ordinary differential equations (93C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• On the uniform boundedness of solutions of contingent equations
• Contributions to the theory of generalized differential equations. I.
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