Abstract
A theory of orbital behavior in certain autonomous one-dimensional nonlinear systems is pursued, using an approach based upon the concept of (orbital) signature. Particular attention is paid to the fixed point structure of such systems with the ultimate aim of using the signature repertoires of these systems to characterize fixed-point orders and the presence of chaos. A system-theoretic approach is pursued here: an approach which complements other recent studies of a more analytical nature. Chaotic behavior in a certain subclass of these system is completely characterized in terms of the first two iterates of a specific known point in the range of the system transition function.
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.
