Linear estimate of the number of limit cycles for a class of nonlinear systems
Zhang, Tonghua, Tade, Moses O., & Tian, YuChu (2007) Linear estimate of the number of limit cycles for a class of nonlinear systems. Chaos, Solitons and Fractals, 31(4), pp. 804810.

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Abstract
A dynamic system has a finite number of limit cycles. However, finding the upper bound of the number of limit cycles is an open problem for general nonlinear dynamical systems. In this paper, we investigated a class of nonlinear systems under perturbations. We proved that the upper bound of the number of zeros of the related elliptic integrals of the given system is 7n + 5 including multiple zeros, which also gives the upper bound of the number of limit cycles for the given system.
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ID Code:  12245 

Item Type:  Journal Article 
Refereed:  Yes 
DOI:  10.1016/j.chaos.2005.10.029 
ISSN:  09600779 
Subjects:  Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301) Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTATION THEORY AND MATHEMATICS (080200) > Computation Theory and Mathematics not elsewhere classified (080299) Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Ordinary Differential Equations Difference Equations and Dynamical Systems (010109) 
Divisions:  Past > QUT Faculties & Divisions > Faculty of Science and Technology 
Copyright Owner:  Copyright 2007 Elsevier 
Copyright Statement:  Reproduced in accordance with the copyright policy of the publisher. 
Deposited On:  29 Jan 2008 00:00 
Last Modified:  29 Feb 2012 13:33 
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