Constructing dynamical systems with specified symbolic dynamics.
In this paper we demonstrate how to construct signals (time series) of continuous-time dynamical systems that exhibit a given symbolic dynamics. This is achieved without construction of the ordinary differential equations that generate the flow. This construction is of theoretical interest and is useful as a source of dynamical data that can be used to test various data analysis algorithms.
Hirata
Yoshito
Y
School of Mathematics and Statistics, The University of Western Australia, Nedlands Perth, Western Australia 6009, Australia.
Judd
Kevin
K
D000465:Algorithms; D003198:Computer Simulation; D008954:Models, Biological; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted; D009626:Terminology as Topic