Chaos in delay differential equations with applications in population dynamics

Alfonso Ruiz-Herrera

doi:10.3934/dcds.2013.33.1633

Article Contents

2013, Volume 33, Issue 4: 1633-1644. Doi: 10.3934/dcds.2013.33.1633

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Chaos in delay differential equations with applications in population dynamics

Alfonso Ruiz-Herrera^1,

1.
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada

Received: September 30, 2011

Revised: December 31, 2011

Published: March 2013

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Abstract

We develop a geometrical method to detect the presence of chaotic dynamics in delay differential equations. An application to the classical Lotka-Volterra model with delay is given.

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Mathematics Subject Classification: 92D40, 37D50, 34K23, 34K60.

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