Hamiltonian approach for a nonlinear pendulum

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 11, Issue , 2010, Pages 41-42

  Xu, Lan ^a  

^a SOOCHOW UNIVERSITY   (China)

Author keywords

Amplitude frequency relationship; Hamiltonian approach; Periodic solution

Indexed keywords

EID: 79961169508     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/ijnsns.2010.11.s1.41     Document Type: Article

References (6)

1. Baker GL, Blackburn JA, The pendulum: A case study in physics, Oxford University Press, Oxford, 2005.
2. Lima F M S, Arun P, An accurate formula for the period of a simple pendulum oscillating beyond the small angle regime, Am J Phys, 74:892-895 (2006).
3. He JH, Non-perturbative methods for strongly nonlinear problems, dissertation de-Verlag im Internet GmbH, Berlin, 2006.
4. Belendez A, Hernandez A, Belendez T, Marquez A, Neipp C, Analytic approximations for the period of a simple pendulum, Eur J Phys, 27:539-551 (2006).
5. He JH, Hamiltonian approach to nonlinear oscillators, Phys. Lett. A, 374:2312-2314 (2010).
6. Xu L, A Hamiltonian approach for a plasma physics problem, Computers & Mathematics with Applications, In Press, doi: 10.1016/j.camwa.2010.06.02826.