Work

Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain

Year: 2016

Type: article

Abstract: In this work we study local oscillations in delay differential equations with a frequency domain methodology. The main result is a bifurcation equation from which the existence and expressions of local periodic solutions can be determined. We present an iterative method to obtain the bifurcation equation up to a fixed arbitrary order. It is shown how this method can be implemented in symbolic math programs.

Source: International Journal of Bifurcation and Chaos

DOI: 10.1142/s0218127416502382

Authors: A. Bel, W. Reartes, A. Torresi

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional del Sur

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2523765681

FWCI:

Cites: 22

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Related to: 10