# American Institute of Mathematical Sciences

March  2013, 18(2): 437-452. doi: 10.3934/dcdsb.2013.18.437

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

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

Received  October 2011 Revised  April 2012 Published  November 2012

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.
Citation: Mikhail Kamenskii, Boris Mikhaylenko. Bifurcation of periodic solutions from a degenerated cycle in equations of neutral type with a small delay. Discrete & Continuous Dynamical Systems - B, 2013, 18 (2) : 437-452. doi: 10.3934/dcdsb.2013.18.437
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