Results 71 to 80 of about 27,933 (207)
Nonlinear Dynamics of Accelerator via Wavelet Approach [PDF]
, 1997 In this paper we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems.
Fedorova, Antonina N. +1 more
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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
MathematicsMany authors analyze the chaotic motion of the driven and damped double sine-Gordon equations and compute the Melnikov functions by numerical methods, taking an example to verify good agreement between numerical methods and analytical ones. Unfortunately,
Nikolay Kyurkchiev +2 more
doaj +1 more source
, 2011 In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromorphic in the state variables perturbation.
Guardia, Marcel, Seara, Tere M.
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Ewald's Conjecture and integer points in algebraic and symplectic toric geometry
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We solve several open problems concerning integer points of reflexive smooth polytopes, also known as monotone polytopes. While the paper belongs to the realm of discrete geometry, the connection with symplectic and algebraic geometry appears naturally since these polytopes have an important role in both areas.
Luis Crespo +2 more
wiley +1 more source
Periodically Forced Nonlinear Oscillatory Acoustic Vacuum
Axioms, 2018 In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied for the persistence of periodic oscillations of a reduced system.
Makrina Agaoglou +4 more
doaj +1 more source
Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles [PDF]
Pacific Journal of Mathematics, 2004 This paper is devoted to the problem of the existence of periodic solutions of an analytical autonomous system in the plane, depending on a small parameter. It is assumed that, when the parameter is set to zero, the equation is Hamiltonian and has either a nondegenerate center (i.e., a center with purely imaginary eigenvalues) or a heteroclinic cycle ...
Li, Weigu, Llibre, Jaume, Zhang, Xiang
openaire +1 more source
Water Resources Research, Volume 62, Issue 3, March 2026.Abstract Climate change alters hydrological and ice conditions, but how these changes affect turbulence beneath ice cover has been poorly studied. This study presents a multi‐year observational analysis of near‐bed turbulence under ice cover in a subarctic meandering river reach.
Karoliina Lintunen +6 more
wiley +1 more source
The Chaotic Property of BTA Deep-Hole Machining System under the Effect of Inner Cutting Fluid
Shock and Vibration, 2023 To clarify the action mechanism of parameter change on system stability, the chaotic property of BTA deep-hole machining system under the effect of inner cutting fluid was analyzed. According to the kinematic characteristics of the internal cutting fluid
Quanbin Zhang +3 more
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Spectral conservation laws for periodic nonlinear equations of the Melnikov type
, 2008 We consider the nonlinear equations obtained from soliton equations by adding self-consistent sources. We demonstrate by using as an example the Kadomtsev-Petviashvili equation that such equations on periodic functions are not isospectral.
Grinevich, P. G., Taimanov, I. A.
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