Abstract
Elimination of chaotic behavior in the harmonically driven van der Pol oscillator by means of a comparatively weak additional forcing was studied through geometrical resonance analysis. We considered commensurate and incommensurate cases together with the effect of the phase difference between the forcings. The analysis provided parameter-space regions for regularization that were corroborated by numerical experiments, including instances with clearly large chaos-inducing forcing. A reinterpretation of a classical result, due to Cartwright and Littlewood [J. London Math. Soc. 20, 180 (1945)], was also derived by means of geometrical resonance analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
