Research on Chaotic Synchronization

I have carried out research in this topic in collaboration with Dr. J. Güémez (from the Universidad de Cantabria). We introduced a new method to synchronize chaotic systems through driving, that consists in a generalization of the well known Pecora-Carroll method, by relaxing the constraint that the driving signal is slaved in the response system.

The following papers contain our results in this field:

  1. J. Güémez and M.A. Matías, Modified method for synchronizing and cascading chaotic systems, Physical Review E, 52, R2145-R2148 (1995). (Rapid Communication).
  2. M.A. Matías and J. Güémez, Imposing the desired behavior on a chaotic system, Physics Letters A, 209, 48-52 (1995).
  3. J. Güémez and M.A. Matías, Synchronization in small assemblies of chaotic systems, Physical Review E, 53, 3059-3067 (1996).
  4. J. Güémez and M.A. Matías, Synchronization in small assemblies of van der Pol-Duffing chaotic oscillators, International Journal of Bifurcation and Chaos, 6, 1761-1766 (1996).
  5. J. Güémez, C. Martín, and M.A. Matías, Approach to the synchronized state of some driving methods, Physical Review E, 55, 124-134 (1997).
  6. M.A. Matías, J. Güémez, and C. Martín, On the behavior of coupled chaotic systems exhibiting marginal synchronization, Physics Letters A, 226, 264-268 (1997).
  7. J. Güémez and M.A. Matías, Synchronization of identically driven chaotic systems, Physics Letters A, 246, 289-292 (1998).

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