نتایج جستجو برای: mathieu function

تعداد نتایج: 1214227  

Journal: :Methods and Applications of Analysis 1994

Journal: :Journal of Algebra 1976

Journal: :Chinese Physics C 2023

In light of our previous work \cite{Liu:2019xhn}, we investigate the possibility formation a primordial black hole in second inflationary process induced by oscillation curvaton. By adopting instability Mathieu equation, one could utilize $\delta$ function to fully describe power spectrum. Due running curvaton mass, can simulate value abundance holes nearly covering all mass ranges, which have ...

2000
D. K. Park S. N. Tamaryan H. J. W. Müller – Kirsten Jian - zu Zhang

Standard methods of nonlinear dynamics are used to investigate the stability of particles, branes and D-branes of abelian Born–Infeld theory. In particular the equation of small fluctuations about the D–brane is derived and converted into a modified Mathieu equation and – complementing earlier low–energy investigations in the case of the dilaton–axion system – studied in the high–energy domain....

1993
Arieh Iserles A. Iserles

Abstract The main difference between certain spectral problems for linear Schrödinger operators, e.g. the almost Mathieu equation, and three-term recurrence relations for orthogonal polynomials is that in the former the index ranges across Z and in the latter only across Z+. We present a technique that, by a mixture of Dirichlet and Taylor expansions, translates the almost Mathieu equation and ...

Journal: :Physical review letters 2012
Peng Zhang Yi Hu Tongcang Li Drake Cannan Xiaobo Yin Roberto Morandotti Zhigang Chen Xiang Zhang

We demonstrate both theoretically and experimentally nonparaxial Mathieu and Weber accelerating beams, generalizing the concept of previously found accelerating beams. We show that such beams bend into large angles along circular, elliptical, or parabolic trajectories but still retain nondiffracting and self-healing capabilities. The circular nonparaxial accelerating beams can be considered as ...

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