Results 41 to 50 of about 11,653 (147)

Resonances of the cusp family

, 2001
We study a family of chaotic maps with limit cases the tent map and the cusp map (the cusp family). We discuss the spectral properties of the corresponding Frobenius--Perron operator in different function spaces including spaces of analytic functions.
Antoniou I, Antoniou I, Antoniou I, Baladi V, Bedford T, Bruin H, Cornfeld I P, Cvitanovic P, E Yarevsky, Edwards R E, Gokhberg I C, Györgyi G, Hemmer P C, I Antoniou, Lasota A, Lasota A, Matthew N, Moon H T, Prellberg T, Robertson A, Rugh H H, S A Shkarin, Titchmarsh E C, Weyl H   +23 more
core   +2 more sources

Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System

Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley   +1 more source

A general approach to the linear stability of viscoelastic shear‐flows

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley   +1 more source

Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej, Yanan Li, Vando Narciso, Yue Sun   +3 more
wiley   +1 more source

Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley   +1 more source

Pólya's conjecture for Dirichlet eigenvalues of annuli

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques and a rigorous computer‐assisted analysis. As
Nikolay Filonov, Michael Levitin, Iosif Polterovich, David A. Sher   +3 more
wiley   +1 more source

Asymptotic behavior of eigenfunctions and eigenvalues for ergodic and periodic systems

Tohoku Mathematical Publications, 1999
The purpose of this article is to study the influence of dynamical behavior of classical Hamilton systems with ergodic and periodic properties on asymptotic behavior of eigenfunctions and eigenvalues of the corresponding positive elliptic operator on a compact Riemannian manifold, and conversely, to investigate the asymptotic properties of ...
openaire   +2 more sources

Coordinate‐ and Spacetime‐Independent Quantum Physics

Annalen der Physik, Volume 538, Issue 1, January 2026.
This article studies in the framework of quantum field theory in curved spacetime, if there exists a single zero‐rank‐tensor solution of a Klein‐Gordon PDE, being valid at once for the depicted spacetimes. The answer is shown to be affirmative, even for a class of such solutions having the standard applications in particle physics. ABSTRACT The concept
Viacheslav A. Emelyanov, Daniel Robertz
wiley   +1 more source

Sturm-Liouville problems with retarded argument and a finite number of transmission conditions

Electronic Journal of Differential Equations, 2017
The main goal of the present paper is to study the asymptotic behaviour of eigenvalues and eigenfunctions of a discontinuous boundary-value problem with retarded argument with a finite number of transmission conditions.
Erdogan Sen
doaj  

Dynamically Consistent Analysis of Realized Covariations in Term Structure Models

Mathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.
ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley   +1 more source