Results 31 to 40 of about 689 (111)

New Results on the Computation of Periods of IETs

open access: yesMathematics
We introduce a novel technique for computing the periods of (d,k)-IETs based on Rauzy induction R. Specifically, we establish a connection between the set of periods of an interval exchange transformation (IET) T and those of the IET T′ obtained either ...
Antonio Linero Bas, Gabriel Soler López
doaj   +1 more source

An elegant model of the geodesic flow on the modular surface

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

Affine hypersurfaces and superintegrable systems

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
wiley   +1 more source

Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation ut−∑i=1NDiu2−pi|Diu|pi−2Diu=0,u⩾0.$$\begin{equation*} u_t- \sum \limits _{i=1}^N D_i{\left(u^{2-p_i}|D_i u|^{p_i-2} D_i u\right)}=0,\qquad u\geqslant 0.
S. Ciani   +3 more
wiley   +1 more source

Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review

open access: yesAdvanced Photonics Research, Volume 7, Issue 6, June 2026.
This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
wiley   +1 more source

An asymmetric rotor model under external, parametric, and mixed excitations: Nonlinear bifurcation, active control, and rub-impact effect

open access: yesJournal of Low Frequency Noise, Vibration and Active Control
This article explores the nonlinear dynamical analysis and control of a 2 − DOF system that emulates the lateral vibration of an asymmetric rotor model under external, multi-parametric, and mixed excitation.
Randa A Elashmawey   +3 more
doaj   +1 more source

Work Versus Force: Simultaneous Processes for Describing Interactions

open access: yesAdvanced Physics Research, Volume 5, Issue 6, June 2026.
ABSTRACT Achieving a unified description of interactions remains an open challenge in theoretical physics, which currently describes four fundamental forces. This situation may be viewed differently when interactions are formulated in terms of processes (work as actio) rather than forces (force as actio), not only at the macroscopic level but also at ...
Grit Kalies   +2 more
wiley   +1 more source

Promoting the Mathematization of Physics: Hermann Minkowski's Draft Presentations of His 1908 “Grundgleichungen” Paper

open access: yesBerichte zur Wissenschaftsgeschichte, Volume 49, Issue 2, Page 103-117, June 2026.
I present and discuss two drafts of remarks prepared by the mathematician Hermann Minkowski (1864–1909). They were composed in December 1907 while preparing his paper on the “Basic Equations of Electromagnetic Processes in Moving Bodies” for publication in the Proceedings of the Göttingen Academy of Sciences.
Tilman Sauer
wiley   +1 more source

Nonlinear Dynamics of a Passive Walker: Bifurcation and Stability Insights With Spring and Damper Mechanics

open access: yesInternational Journal of Mechanical System Dynamics, Volume 6, Issue 2, Page 357-369, June 2026.
ABSTRACT This study explores the nonlinear dynamics associated with a passive dynamic walker (PDW), focusing on the bifurcation and stability insights derived from spring and damper mechanics. PDWs, which rely on gravity for stable locomotion without active control, exhibit a rich spectrum of behaviors, from periodic to chaotic motion.
Zhongqu Xie   +8 more
wiley   +1 more source

Mixing Rates of the Geometrical Neutral Lorenz Model. [PDF]

open access: yesJ Stat Phys, 2023
Bruin H, Canales Farías HH.
europepmc   +1 more source

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