Volume 19, Issue 4, December 2012, Pages 477 - 488
On the Integrability of a Muthuswamy–Chua System
Authors
Jaume Llibre
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain,jllibre@mat.uab.cat
Claudia Valls
Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisoba, Av. Rovisco Pais 1049-001, Lisboa, Portugal,cvalls@math.ist.utl.pt
Received 18 April 2012, Accepted 28 June 2012, Available Online 31 December 2012.
- DOI
- 10.1142/S1402925112500295How to use a DOI?
- Keywords
- Darboux integrability; exponential factor; Darboux polynomials; Chua system; generalized rational first integrals
- Abstract
In this paper we study the integrability of the Muthuswamy–Chua system
For α = 0 we characterize all its generalized rational first integrals, which contains the Darboux type first integrals. For α ≠ 0 we show that the system has no Darboux type first integrals.- Copyright
- © 2012 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
TY - JOUR AU - Jaume Llibre AU - Claudia Valls PY - 2012 DA - 2012/12/31 TI - On the Integrability of a Muthuswamy–Chua System JO - Journal of Nonlinear Mathematical Physics SP - 477 EP - 488 VL - 19 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500295 DO - 10.1142/S1402925112500295 ID - Llibre2012 ER -