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2013 Center Manifold Reduction and Perturbation Method in a Delayed Model with a Mound-Shaped Cobb-Douglas Production Function
Massimiliano Ferrara, Luca Guerrini, Giovanni Molica Bisci
Abstr. Appl. Anal. 2013(SI41): 1-6 (2013). DOI: 10.1155/2013/738460

Abstract

Matsumoto and Szidarovszky (2011) examined a delayed continuous-time growth model with a special mound-shaped production function and showed a Hopf bifurcation that occurs when time delay passes through a critical value. In this paper, by applying the center manifold theorem and the normal form theory, we obtain formulas for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions. Moreover, Lindstedt’s perturbation method is used to calculate the bifurcated periodic solution, the direction of the bifurcation, and the stability of the periodic motion resulting from the bifurcation.

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Massimiliano Ferrara. Luca Guerrini. Giovanni Molica Bisci. "Center Manifold Reduction and Perturbation Method in a Delayed Model with a Mound-Shaped Cobb-Douglas Production Function." Abstr. Appl. Anal. 2013 (SI41) 1 - 6, 2013. https://doi.org/10.1155/2013/738460

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095308
MathSciNet: MR3143552
Digital Object Identifier: 10.1155/2013/738460

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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