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Can I read Neimark–Sacker bifurcation for periodic delay differential equations on EtoBox?
Neimark–Sacker bifurcation for periodic delay differential equations by Gergely Röst is a Mathematics article available to read on EtoBox.
What is Neimark–Sacker bifurcation for periodic delay differential equations about?
In this paper we study the delay differential equation where is a real parameter, the functions a(t), f (t, ) are C 4 -smooth and periodic in the variable t with period 1. Varying the parameter, eigenvalues of the monodromy operator (the derivative of the time-one map at the equilibrium 0) cross the unit circle and bifurcation of an invariant curve occurs. To detect the critical parameter-values, we use Floquet theory. We give an explicit formula to compute the coefficient that determines the direction of the bifurcation. We extend the center manifold projection method to our infinite-dimensional Banach space using spectral projection represented by a Riesz-Dunford integral. The Neimark-Sacker Bifurcation Theorem implies the appearance of an invariant torus in the space C × S 1 . We apply our results to an equation used in neural network theory.
Who reads Neimark–Sacker bifurcation for periodic delay differential equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Gergely Röst
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0362-546X)
- Published
- 2005
- Language
- EN
- Field
- Mathematics (Physical Sciences)