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Marc R. Roussel
Delay-differential equations belong to the class of infinite-dimensional dynamical systems. However, it is often observed that the solutions are rapidly attracted to smooth manifolds embedded in the finite-dimensional state space, called inertial manifol...
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Jose de la Luz Sosa, Daniel Olvera-Trejo, Gorka Urbikain, Oscar Martinez-Romero, Alex Elías-Zúñiga and Luis Norberto López de Lacalle
In this work, a new method for solving a delay differential equation (DDE) with multiple delays is presented by using second- and third-order polynomials to approximate the delayed terms using the enhanced homotopy perturbation method (EMHPM). To study t...
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Xu Sun, Kun Lin, Pengpeng Jiao and Huapu Lu
This paper focuses on the optimization problem of a signal timing design based on the concept of bus priority. This optimization problem is formulated in the form of a bi-level programming model that minimizes average passenger delay at intersections and...
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Yang Lu
A method which utilizes a Kerr phase-interrogator to measure the group birefringence dispersion (GBD) of a polarization-maintaining fiber (PMF) is systematically studied in this paper. The differential group delay of two sinusoidally modulated optical si...
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Dimplekumar Chalishajar, Chokkalingam Ravichandran, Shanmugam Dhanalakshmi and Rangasamy Murugesu
In this paper, we establish the existence of piece wise (PC)-mild solutions (defined in Section 2) for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained using techniques of fixed point the...
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