Generating finite dimensional integrable nonlinear dynamical systems

被引:39
作者
Lakshmanan, M. [1 ]
Chandrasekar, V. K. [1 ]
机构
[1] Bharathidasan Univ, Sch Phys, Ctr Nonlinear Dynam, Tiruchirappalli 620024, Tamil Nadu, India
关键词
DEPENDENT EFFECTIVE MASSES; DIFFERENTIAL-EQUATIONS; 2ND-ORDER; SYMMETRIES; LINEARIZATION; OSCILLATOR; CHAOS;
D O I
10.1140/epjst/e2013-01871-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this article, we present a brief overview of some of the recent progress made in identifying and generating finite dimensional integrable nonlinear dynamical systems, exhibiting interesting oscillatory and other solution properties, including quantum aspects. Particularly we concentrate on Lienard type nonlinear oscillators and their generalizations and coupled versions. Specific systems include Mathews-Lakshmanan oscillators, modified Emden equations, isochronous oscillators and generalizations. Nonstandard Lagrangian and Hamiltonian formulations of some of these systems are also briefly touched upon. Nonlocal transformations and linearization aspects are also discussed.
引用
收藏
页码:665 / 688
页数:24
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