Hamiltonian chaos in two coupled three-wave parametric interactions with quadratic nonlinearity

✍ Scribed by A.C.-L. Chian; S.R. Lopes; J.R. Abalde

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 717 KB
• Volume: 99
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(96)00134-0

✦ Synopsis

The nonlinear dynamical behavior of parametric wave-wave interactions is studied. The temporal dynamics of the model equations des.dbing resonant coupling of two wave triplets in a quadratic nonlinear medium is analyzed. This Hamiltonian system is shown to undergo transition from regular to chaotic states via the route of quasiperiodicity. Application to nonlinear optics in plasmas is exemplified.