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D.P. Rosin, 'Pulse train solutions in a time-delayed opto-electronic oscillator,' TU Berlin and Duke University MSc Thesis, unpublished [PDF 2.2 MB] (2011).
We firstly introduce an equivalent backward delayed system depicted as a time-delayed backward stochastic differential equation.
Note that the equivalent backward delayed system is described by a time-delayed BSDE, so the adjoint equation of the time-delayed BSDE via duality relation is an anticipated SDE.
Two stable bifurcating periodic solutions are numerically found to coexist in a time-delayed nonlinear oscillator by using different initial conditions, after the trivial equilibrium loses its stability via two-to-one resonant Hopf bifurcations.
In this paper we investigate stability conditions for small-amplitude periodic solutions emerging near symmetry-preserving Hopf bifurcations in a time-delayed fully-connected N-node PLL network.
As an application, we solve a time-delayed pension fund management problem with nonlinear expectation to measure the risk and obtain the explicit solution.
Conclusions: Our analysis reveals that the regulation of transcription and translation contains a time-delayed component.
Sharkovsky, A.N. "Chaos from a time-delayed Chua's circuit," IEEE Transactions on Circuits & Systems I-Fundamental Theory & Applications, vol.40, no.10, pp.781-783.
The model is formulated as a time-delayed multivariable control system for a general network, and then is studied by using time-delayed control theory.
All writing is a machine for the delivery of a time-delayed and space-shifted performance.
Therefore, a TCP AQM controller was modeled as a time-delayed system with a saturated input.
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