Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators

• Published in: Nonlinear dynamics Vol. 105; no. 3; pp. 2247 - 2263
• Main Authors: Kato, Yuzuru, Zlotnik, Anatoly, Li, Jr-Shin, Nakao, Hiroya
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2021; Springer Nature B.V
• Subjects: Automotive Engineering; Calculus of variations; Classical Mechanics; Control; Dynamical Systems; Engineering; Entrainment; Mechanical Engineering; Nonlinear programming; Optimization; Original Paper; Oscillators; Vibration; Waveforms; Phase reduction; Nonlinear oscillation; Nonlinear programming; Synchronization; Optimization

We propose a general method for optimizing periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators based on phase reduction and nonlinear programming. We derive averaged phase dynamics from the mathematical model of a limit-cycle oscillator driven by a weak periodic...