Bifurcation of periodic solutions from a degenerated cycle in equations of neutral type with a small delay

Mikhail Kamenskii; Boris Mikhaylenko

doi:10.3934/dcdsb.2013.18.437

Article Contents

2013, Volume 18, Issue 2: 437-452. Doi: 10.3934/dcdsb.2013.18.437

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Bifurcation of periodic solutions from a degenerated cycle in equations of neutral type with a small delay

Mikhail Kamenskii^1, and
Boris Mikhaylenko^1,

1.
Voronezh State University, 1 Universitetskaya pl., 394006, Voronezh

Received: September 30, 2011

Revised: March 31, 2012

Published: February 2013

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Abstract

This paper proposes an approach to investigate bifurcation of periodic solutions to functional-differential equations of neutral type with a small delay and a small periodic perturbation from the limit cycle under the assumption that there exists adjoint Floquet solutions to the linearized equation.

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Mathematics Subject Classification: Primary: 34K13, 34K18, 34K27, 34K40; Secondary: 46T99.

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