Hamiltonian approach to multiple coupled nonlinear oscillators

S. Durmaz*, S. Altay Demirbag, M. O. Kaya

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, Hamiltonian approach is extended to investigate coupled nonlinear multi-degree-of-freedom oscillatory systems. At the beginning of the study, basic principles of Hamiltonian approach are provided for multiple coupled oscillators. In the next section, the amplitude-frequency relation for the two-degree-of-freedom nonlinear mechanical systems is obtained via Hamiltonian approach. The natural frequency expression is compared to show the agreement between the present and published results. Additionally, the approximate and numerical periodic solutions are plotted.

Original languageEnglish
Pages (from-to)47-49
Number of pages3
JournalActa Physica Polonica A
Volume121
Issue number1
DOIs
Publication statusPublished - Jan 2012

Fingerprint

Dive into the research topics of 'Hamiltonian approach to multiple coupled nonlinear oscillators'. Together they form a unique fingerprint.

Cite this