In this paper we report on a two parameter four-dimensional dynamical system with cyclic symmetry, namely circulant system. This is twelve-term polynomial four cubic nonlinearities. Reported are some parameter-space diagrams for system, all of them considering the same range parameters, but generated from different initial conditions. We show that such display occurrence multistability in Prope...

The celebrated Takens' embedding theorem concerns an attractor of a dynamical system in Euclidean space appropriate dimension through generic delay-observation map. also establishes topological conjugacy. In this paper, we show how arbitrary sequence can be mapped into another as attractive solution nonautonomous system. Such mapping entails conjugacy and between the spaces. This result is not ...

An increasingly popular method of encoding chaotic time-series from physical experiments is the so-called threshold crossings technique, where one simply replaces the real valued data with symbolic data of relative positions to an arbitrary partition at discrete times. The implication has been that this symbolic encoding describes the original dynamical system. On the other hand, the literature...