Journal of Nonlinear Mathematical Physics

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Volume 17, Issue 3, September 2010, Pages 251 - 256

Recursive Generation of Isochronous Hamiltonian Systems

Authors
V. K. Chandrasekar*, A. Durga Devi†, M. Lakshmanan‡
Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli — 620 024, India
Received 4 January 2010, Accepted 26 February 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925110000891How to use a DOI?
Keywords
Hamiltonian systems; nonlinear oscillators; isochronous systems; recursive generation; periodic solutions
Abstract

We propose a simple procedure to identify the collective coordinate Q which is used to generate the isochronous Hamiltonian. The new isochronous Hamiltonian generates more and more isochronous oscillators, recursively.

Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 3
Pages
251 - 256
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110000891How to use a DOI?
Copyright
© 2010 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - V. K. Chandrasekar
AU  - A. Durga Devi
AU  - M. Lakshmanan
PY  - 2021
DA  - 2021/01/07
TI  - Recursive Generation of Isochronous Hamiltonian Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 251
EP  - 256
VL  - 17
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110000891
DO  - 10.1142/S1402925110000891
ID  - Chandrasekar2021
ER  -