New classes of differential equations and bifurcation of discontinuous cycles

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2009
Turan, Mehmet
In this thesis, we introduce two new classes of differential equations, which essentially extend, in several directions, impulsive differential equations and equations on time scales. Basics of the theory for quasilinear systems are discussed, and particular results are obtained so that further investigations of the theory are guaranteed. Applications of the newly-introduced systems are shown through a center manifold theorem, and further, Hopf bifurcation Theorem is proved for a three-dimensional discontinuous dynamical system.

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Citation Formats
M. Turan, “New classes of differential equations and bifurcation of discontinuous cycles,” Ph.D. - Doctoral Program, Middle East Technical University, 2009.