[Turkmath:6994] Applied Dynamics Group Seminar

[M. Onur Fen]

Dear all,

You are cordially invited to the seminar entitled "Discontinuous Cycles of
The Forced Van der Pol Equation" which will be given by Mehmet Turan, from
Department of Mathematics, Atilim University.

Abstract:
The Hopf bifurcation is applied, through four transformations [1, 2, 3],
to find limit cycles in the Van der Pol equation. This is the first  time
that  non-linear surfaces of discontinuity are considered.  Simulations
are performed to illustrate the theory.

References:
 [1] M. U. Akhmet, Perturbations and Hopf bifurcation of the planar
discontinuous dynamical system, Nonlinear Analysis, 60 (2005) 163 - 178.
[2] M. U. Akhmet, M. Turan, The differential equations on time scales
through impulsive differential equations, Nonlinear Analysis, 65 (2006)
2043 - 2060.
[3] M. U. Akhmet, M. Turan, Differential equations on variable time
scales, Nonlinear Analysis: Theory, Methods and Applications 70 (2009)
1175–1192.
[5] J. Awrejcewicz, C. H. Lamarque, Bifurcation and chaos in nonsmooth
mechanical systems, World Scientific, Singapore (2003).
[6] M. di Bernardo, C. J. Budd, A. R. Champneys, P. Kowalczyk, Piece-wise
smooth Dynamical Systems, Springer, London (2008).
[7] J. M. T. Thompson, H. B. Stewart, Nonlinear dynamics and chaos, John
Wiley, England (2002).
[8] T. Kapitaniak, Chaotic oscillations in mechanical systems, Manchester
University press (1991).


DATE :  30.04.2010
TIME :  15:40
PLACE : Gunduz Ikeda Seminar Room, Department of Mathematics, METU


Best regards,

Mehmet Onur Fen
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