This paper introduces an extension of recurrence analysis to symbolic sequences. Heuristic arguments based on Shannon-McMillan-Breiman theorem suggest several relations between th...
In this paper we characterize topologically the empty interior subsets of a compact surface S which can be -limit sets of recurrent orbits (but of no nonrecurrent ones) of continu...
We consider parameter-dependent, continuous-time dynamical systems under discretizations. It is shown that fold-Hopf singularities are O(hp)-shifted and turned into fold-Neimark-S...
The chaotic dynamics of fractional-order systems has attracted much attention recently. Chaotic synchronization of fractional-order systems is further studied in this paper. We inv...
Zaid M. Odibat, Nathalie Corson, M. A. Aziz-Alaoui...
The complex bifurcation structure in the parameter space of the general piecewise linear scalar map with a single discontinuity - nowadays known as nested period adding structure ...