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Periodically forced delay limit cycle oscillator |
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| Affiliation: | 1. Università Politecnica delle Marche, Ancona, Italy;2. Escola Politécnica, University of São Paulo, São Paulo, Brazil;1. Dpto. de Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza de las Ciencias 3, 28040 Madrid, Spain;2. Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, Spain;3. Moscow State University, Faculty of Mechanics and Mathematics, Moscow, 19992 Russia;1. Mechanical Engineering, Indian Institute of Technology, Kharagpur 721302, India;2. Mechanical Engineering, Indian Institute of Technology, Kanpur 208016, India |
| Abstract: | This paper investigates the dynamics of a delay limit cycle oscillator under periodic external forcing. The system exhibits quasiperiodic motion outside of a resonance region where it has periodic motion at the frequency of the forcer for strong enough forcing. By perturbation methods and bifurcation theory, we show that this resonance region is asymmetric in the frequency detuning, and that there are regions where stable periodic and quasiperiodic motions coexist. |
| Keywords: | Differential-delay equation Limit cycle oscillator Entrainment Non-linear dynamics |
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