Coexistence of conservative and dissipative behavior in reversible dynamical systems

Year: 1986

Authors: Politi A., Oppo G. L., Badii R.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125 Firenze, Italy;
Physik Institut der Universitat Zürich, Schönberggasse 9, CH-8001 Zürich, Switzerland

Abstract: Externally injected class-B lasers are shown to be approximately described by a reversible three-dimensional flow. For critical values of the external field such a model displays symmetry-breaking bifurcations, where the structure of space changes from conservative to dissipative either in a continuous or discontinuous manner. As a consequence, the coexistence of the two behaviors is observed in suitable parameter ranges. Symmetry breaking is shown to explain the onset of the very stable periodic solutions exhibited by the physical system. Such bifurcations are then studied in the simpler context of two-dimensional flows and recognized as degenerate codimension-2 phenomena.

Journal/Review: PHYSICAL REVIEW A

Volume: 33 (6)      Pages from: 4055  to: 4060

KeyWords: branching (mathematics); broken symmetry; dynamical systems; hamiltonian functions; injection laser
DOI: 10.1103/PhysRevA.33.4055

Citations: 99
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