Abstract
We propose an analytical method for predicting the boundaries of the region in parameter space within which a strange nonchaotic attractor exists for a quasiperiodically forced van der Pol equation. One boundary is obtained from the condition for existence of a simple quasiperiodic solution to the equation. The other is shown to be well approximated by the condition for Hopf bifurcation in a suitably averaged system of equation. Good agreement with numerical calculations of Lyapunov exponents is demonstrated.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.