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

被引：19

作者：

Chian, ACL ^{[1
]}

Lopes, SR ^{[1
]}

Abalde, JR ^{[1
]}

机构：

[1] UNIV FED PARANA, DEPT FIS, BR-81531 CURITIBA, PARANA, BRAZIL

来源：

PHYSICA D-NONLINEAR PHENOMENA | 1996年 / 99卷 / 2-3期

关键词：

chaos; mode coupling; plasma; nonlinear optics;

D O I：

10.1016/S0167-2789(96)00134-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear dynamical behavior of parametric wave-wave interactions is studied. The temporal dynamics of the model equations describing 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.

引用

页码：269 / 275

页数：7

共 26 条

[1]

[Anonymous], 1993, CHAOS DYNAMICAL SYST

[2]

Buts V. A., 1994, Plasma Physics Reports, V20, P714

[3]

CHIAN ACL, 1994, ASTRON ASTROPHYS, V290, pL13

[4] COUPLING OF ELECTROMAGNETIC FILAMENTATION INSTABILITY AND ELECTROSTATIC LANGMUIR PARAMETRIC-INSTABILITIES IN LASER-PLASMA INTERACTIONS [J].

CHIAN, ACL ;

RIZZATO, FB .

JOURNAL OF PLASMA PHYSICS, 1994, 51 :61-73

[5]

CHIAN ACL, 1995, ASTRON ASTROPHYS, V298, pL9

[6] LENGTH SCALE, QUASI-PERIODICITY, RESONANCES, SEPARATRIX CROSSINGS, AND CHAOS IN THE WEAKLY RELATIVISTIC ZAKHAROV EQUATIONS [J].

DEOLIVEIRA, GI ;

RIZZATO, FB ;

CHAIN, ACL .

PHYSICAL REVIEW E, 1995, 52 (02) :2025-2036

[7] SPATIOTEMPORAL CHAOS IN THE REGIME OF THE CONSERVED ZAKHAROV EQUATIONS [J].

HE, XT ;

ZHENG, CY .

PHYSICAL REVIEW LETTERS, 1995, 74 (01) :78-81

[8] DYNAMICS OF NONLINEAR-INTERACTION OF MAGNETOHYDRODYNAMIC WAVES [J].

KARPLYUK, KS ;

ORAEVSKII, VN ;

PAVLENKO, VP .

PLASMA PHYSICS AND CONTROLLED FUSION, 1973, 15 (02) :113-124

[9]

KRUER WL, 1988, PHYSICS LASER PLASMA

[10]

Lichtenberg A.J., 1983, Regular and Stochastic Motion

← 1 2 3 →