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Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Original Articles

Homotopy Perturbation Method to Approximate the Stable Manifold

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pp. 173–181Vol. 10Issue 2November 2012DOI: 10.1080/1726037X.2012.10698618XML
Received:
22 May 2012
Accepted:
24 Sep 2012
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2012.10698618
Pages:
173–181

Abstract

In this paper, the homotopy perturbation method is applied to approximate the stable manifold of a nonlinear autonomous system of ordinary differential equations. The results reveal that the proposed method is very effective and simple.

Keywords

References

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