Perpetual points and periodic perpetual loci in maps.
We introduce the concepts of perpetual points and periodic perpetual loci in discrete-time systems (maps). The occurrence and analysis of these points/loci are shown and basic examples are considered. We discuss the potential usage and properties of the introduced concepts. The comparison of perpetual points and loci in discrete-time and continuous-time systems is presented. The discussed methods can be widely applied in other dynamical systems.
Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Dawid
D
Dudkowski
Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.
Awadhesh
A
Prasad
Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Tomasz
T
Kapitaniak