Results 31 to 40 of about 4,525,221 (172)

Parallel, Series, and Intermediate Interconnections of Optical Nanocircuit Elements Part 1: Analytical Solution [PDF]

, 2007
Following our recent development of the paradigm for extending the classic concepts of circuit elements to the infrared and optical frequencies [N. Engheta, A. Salandrino, A. Alu, Phys. Rev. Lett.
Alu, Andrea, Engheta, Nader, Salandrino, Alessandro   +2 more
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Theory of dressed states in quantum optics [PDF]

, 1999
The dual Dyson series [M.Frasca, Phys. Rev. A {\bf 58}, 3439 (1998)], is used to develop a general perturbative method for the study of atom-field interaction in quantum optics.
A. L’Huilier, A. Mostafazadeh, B. Sundaram, C. Cohen-Tannoudji, F. I. Gauthey, J. Gao, J. H. Eberly, J. L. Krause, J. L. Krause, K. C. Kulander, K. Drese, M. Frasca, M. Frasca, M. Frasca, M. Frasca, M. Frasca, M. L. Pons, M. Lewenstein, M. V. Berry, M. V. Berry, M. Wilkens, Marco Frasca, P. B. Corkum, P. Meystre, R. M. Potvliege, Y. I. Salamin   +25 more
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Lie series solution of the bicircular problem

Results in Physics, 2021
The present work performs a semi–analytical solution for the orbit of an infinitesimal particle in the framework of the bicircular Sun–Earth–Moon system.
Elbaz I. Abouelmagd, Rajib Mia, Angela E. Perdiou   +2 more
doaj   +1 more source

Basin structure of optimization based state and parameter estimation

, 2015
Most data based state and parameter estimation methods require suitable initial values or guesses to achieve convergence to the desired solution, which typically is a global minimum of some cost function. Unfortunately, however, other stable solutions (e.
Abarbanel, Henry D. I., Eldridge, Michael, Kostuk, Mark, Luther, Stefan, Parlitz, Ulrich, Rey, Daniel, Schumann-Bischoff, Jan   +6 more
core   +1 more source

The Fractional Laguerre Equation: Series Solutions and Fractional Laguerre Functions

Frontiers in Applied Mathematics and Statistics, 2019
In this paper, we propose a fractional generalization of the well-known Laguerre differential equation. We replace the integer derivative by the conformable derivative of order 0 < α < 1. We then apply the Frobenius method with the fractional power
Rasha Shat, Safa Alrefai, Islam Alhamayda, Alaa Sarhan, Mohammed Al-Refai, Mohammed Al-Refai   +5 more
doaj   +1 more source

Computer-aided analysis of Riemann sheet structures [PDF]

, 1998
We report on experience with an investigation of the analytic structure of the solution of certain algebraic complex equations. In particular the behavior of their series expansions around the origin is discussed.
André van Hameren, Argyres, Hagedorn, Kapoyannis, Khuri, Ronald Kleiss   +5 more
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Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel

Journal of Taibah University for Science, 2019
In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana–Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a recurrent process.
Zeliha Korpinar, Mustafa Inc, Dumitru Baleanu, Mustafa Bayram   +3 more
doaj   +1 more source

Series Solution and Minimal Surfaces in AdS

, 2009
According to the Alday-Maldacena program the strong coupling limit of Super Yang-Mills scattering amplitudes is given by minimal area surfaces in AdS spacetime with a boundary consisting of a momentum space polygon.
A Brandhuber, A Brandhuber, A Jevicki, A Jevicki, A Jevicki, A Mikhailov, A Mironov, AB Zamolodchikov, Antal Jevicki, BM Barbashov, BM Barbashov, BM McCoy, C Anastasiou, C Anastasiou, E Corrigan, F Cachazo, H Dorn, H Dorn, H Itoyama, H Itoyama, HJ Vega de, I Bakas, J Plefka, JL Miramontes, JM Drummond, JM Drummond, JM Drummond, K Pohlmeyer, K Sakai, Kewang Jin, LF Alday, LF Alday, LF Alday, LF Alday, M Grigoriev, M Grigoriev, M Kruczenski, M Kruczenski, M Spradlin, N Berkovits, N Dorey, NS Manton, P Rossi, S Dobashi, S Dobashi, SS Gubser, Z Bern, Z Bern, Z Bern   +48 more
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Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method

Journal of Mathematical and Fundamental Sciences, 2018
In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay.
Nidal Ratib Anakira, Ali Jameel, Abedel-Karrem Alomari, Azizan Saaban, Mohammad Almahameed, Ishak Hashim   +5 more
doaj   +1 more source

Series Solution of Discrete Time Stochastic Optimal Control Problems [PDF]

, 2019
In this paper we consider discrete time stochastic optimal control problems over infinite and finite time horizons. We show that for a large class of such problems the Taylor polynomials of the solutions to the associated Dynamic Programming Equations ...
Krener, Arthur J
core   +1 more source