| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1860959 | Physics Letters A | 2011 | 5 Pages |
In this Letter, it is shown that from a two region partition of the phase space of a one-dimensional dynamical system, a p -region partition can be obtained for the CRL…LR…RCRL…LR…R orbits. That is, permutations associated with symbolic sequences are obtained. As a consequence, the trajectory in phase space is directly deduced from permutation. From this permutation other permutations associated with period-doubling and saddle-node bifurcation cascades are derived, as well as other composite permutations.
Research highlights► Symbolic sequences are the usual topological approach to dynamical systems. ► Permutations bear more physical information than symbolic sequences. ► Period-doubling cascade permutations associated with original sequences are obtained. ► Saddle-node cascade permutations associated with original sequences are obtained. ► Composite permutations are derived.
