Abstract
Nontrivial period annuli in the second order ordinary differential equation are continua of periodic trajectories that contain inside more than one critical point. They can appear in conservative equations, which are known to have no attractors. Nevertheless, according to some authors, their behavior may be done chaotic by adding a periodic external force. Is the period of the external force correlated with periods of solutions in period annuli? Is the chaotic behavior of a solution dependent on the initial value and, in turn, on a certain periodic annulus? These, and related questions are studied in the article.
Sign-in/Register to access full text options 
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.
