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IJBC
2010
116views more  IJBC 2010»
14 years 10 months ago
Recurrence Plots for Symbolic Sequences
This paper introduces an extension of recurrence analysis to symbolic sequences. Heuristic arguments based on Shannon-McMillan-Breiman theorem suggest several relations between th...
Philippe Faure, Annick Lesne
IJBC
2010
68views more  IJBC 2010»
14 years 10 months ago
Empty interior Recurrence for Continuous Flows on Surfaces
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...
Víctor Jiménez López, Gabriel...
IJBC
2010
92views more  IJBC 2010»
14 years 10 months ago
Discretizing bifurcation Diagrams Near codimension Two Singularities
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...
Páez Chávez Joseph
IJBC
2010
123views more  IJBC 2010»
14 years 10 months ago
Synchronization of Chaotic fractional-Order Systems via Linear Control
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...
IJBC
2010
105views more  IJBC 2010»
14 years 8 months ago
Calculation of bifurcation Curves by Map Replacement
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 ...
Viktor Avrutin, Michael Schanz, Laura Gardini