Abstract
A family of critical curves that lie in the range of a class of Poincaré halfmaps induced by a saddle focus in three-space is investigated analytically. It comprises all "far final points" of the images of invariant curves that are subject to a separating mechanism. The number of branches occurring on a specific critical curve is directly related to the type of separating mechanism present in the halfmap. Moreover, universal properties of the saddle-focus dynamics are demonstrated for the first time.
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.
