Abstract
The Srzednicki method of periodic segments has proven to be a very powerful in detecting chaotic dynamics generated by the periodic in time ODEs. The aim of this note is to introduce the notion of a nested set of periodic segments. We prove a fixed point index formula related to that special configuration of periodic segments. As a consequence, we obtain some results concerning chaotic dynamics. We also provide the examples of periodic planar system with chaotic dynamics emerging from a nested set of periodic segments.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
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 call
