HAMILTONIAN CHAOS IN 2 COUPLED 3-WAVE PARAMETRIC INTERACTIONS WITH QUADRATIC NONLINEARITY

Authors
CHIAN ACL LOPES SR ABALDE JR
Citation
Acl. Chian et al., HAMILTONIAN CHAOS IN 2 COUPLED 3-WAVE PARAMETRIC INTERACTIONS WITH QUADRATIC NONLINEARITY, Physica. D, 99(2-3), 1996, pp. 269-275
Citations number
26
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
99
Issue
2-3
Year of publication
1996
Pages
269 - 275
Database
ISI
SICI code
0167-2789(1996)99:2-3<269:HCI2C3>2.0.ZU;2-S
Abstract
The nonlinear dynamical behavior of parametric wave-wave interactions is studied. The temporal dynamics of the model equations describing re sonant coupling of two wave triplets in a quadratic nonlinear medium i s analyzed. This Hamiltonian system is shown to undergo transition fro m regular to chaotic states via the route of quasiperiodicity. Applica tion to nonlinear optics in plasmas is exemplified.