| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 724186 | IFAC Proceedings Volumes | 2006 | 6 Pages |
Abstract
We show the coexistence of a fast-scale hyperchaos with a slow-scale periodic behavior in an integro-differential delayed dynamical system. This behavior arises after a sequence of Hopf bifurcations. This new phenomenology is experimentally evidenced with a Mach-Zehnder modulator optically fed by a semiconductor laser, and subjected to a delayed nonlinear electro-optical feedback. A “breathing” dynamics is therefore observed, consisting of ns-timescale hyperchaotic oscillations with a periodic modulation at a μs-timescale. A theoretical understanding of the phenomenon is also provided.
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