New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems

Journal of Physics A: Mathematical and General

Volumn 37, Issue 16, 2004, Pages 4527-4534

  Chandrasekar, V K ^a   Senthilvelan, M ^a   Lakshmanan, M ^a  

^a BHARATHIDASAN UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442560410     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/16/004     Document Type: Article

References (11)

1. Lakshmanan M and Rajasekar S 2003 Nonlinear Dynamics: Integrability Chaos and Patterns (New York: Springer)
2. Nayfeh A H and Mook D T 1995 Nonlinear Oscillations (New York: Wiley)
3. Bountis T C, Drossos L B, Lakshmanan M and Parthasarathy S 1993 On the non-integrability of a family of Duffing-van der Pol oscillators J. Phys. A: Math. Gen. 26 6927
4. Senthil Velan M and Lakshmanan M 1995 Lie symmetries and infinite dimensional Lie algebras of certain nonlinear dissipative systems J. Phys. A: Math. Gen. 28 1929
5. Murphy G M 1969 Ordinary Differential Equations and Their Solutions (New Delhi: Affiliated East-West Press)
6. Chandrasekar V K, Senthilvelan M and Lakshmanan M in preparation
7. Parthasarathy S and Lakshmanan M 1990 On the exact solution of the Duffing oscillator J. Sound Vib 137 523
8. Duarte L G S, Duarte S E S, da Mota A C P and Skea J E F 2001 Solving second-order ordinary differential equations by extending the Prelle-Singer method J. Phys. A: Math. Gen. 34 3015
9. Buchdahl H A 1967 General relativistic fluid spheres: III. A static gaseous model Astrophys. J. 147 310
10. Gradshteyn I S and Ryzhik I M 1980 Table of Integrals, Series and Products (London: Academic)
11. Mahomed F M and Leach P G L 1985 The linear symmetries of a nonlinear differential equation Quaest. Math. 8 241