Results 71 to 80 of about 1,619,181 (215)
A New Approach to the Accretive Growth of Surfaces Via Hyperbolical Kinematics
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15349-15363, 15 November 2025.ABSTRACT In the current work, we introduce the accretive growth of surfaces by using hyperbolical geometry. First, we describe hyperbolical kinematics along a generating curve to construct accretive surfaces having a hyperbolical cross‐section. The obtained surfaces are not only the ones having hyperbolical cross‐sections but also their material points
Gül Tuğ, Zehra Özdemir
wiley +1 more source
Existence and orthogonality of stable envelopes for bow varieties
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
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Darboux transforms and spectral curves of constant mean curvature surfaces revisited [PDF]
, 2010 We study the geometric properties of Darboux transforms of constant mean curvature (CMC) surfaces and use these transforms to obtain an algebro-geometric representation of constant mean curvature tori.
Carberry, Emma +2 more
core
H∞ filtering for 2D continuous‐discrete Takagi–Sugeno fuzzy systems in finite frequency band
Asian Journal of Control, Volume 27, Issue 5, Page 2128-2140, September 2025.Abstract This paper focuses on the design of H∞$$ {H}_{\infty } $$ filtering for two‐dimensional (2‐D) continuous‐discrete Takagi–Sugeno (T–S) fuzzy systems. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) domain.
Abderrahim El‐Amrani +3 more
wiley +1 more source
Darboux–Halphen–Ramanujan Vector Field on a Moduli of Calabi-Yau Manifolds [PDF]
Qualitative Theory of Dynamical Systems, 2015 In this paper we obtain an ordinary differential equation ${\sf H}$ from a Picard-Fuchs equation associated with a nowhere vanishing holomorphic $n$-form. We work on a moduli space ${\sf T }$ constructed from a Calabi-Yau $n$-fold $W$ together with a basis of the middle complex de Rham cohomology of $W$. We verify the existence of a unique vector field
openaire +3 more sources
Galileo's ship and the relativity principle
Noûs, Volume 59, Issue 3, Page 585-611, September 2025.Abstract It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not ...
Sebastián Murgueitio Ramírez
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Discrete Integrable Principal Chiral Field Model and Its Involutive Reduction
Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of soliton solutions for these discrete equations.
J. L. Cieśliński +3 more
wiley +1 more source
Darboux theory of integrability for real polynomial vector fields on $\sss^n$
, 2017 This is a survey on the Darboux theory of integrability for polynomial vector fields, first in $\R^n$ and second in the $n$-dimensional sphere $\sss^n$. We also provide new results about the maximum number of parallels and meridians that a polynomial vector field $\X$ on $\sss^n$ can have in function of its degree.
Llibre, Jaume, Murza, Adrian
openaire +7 more sources
Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy
, 1998 We use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can be traded for a system of ordinary differential equations ...
Falqui, Gregorio +2 more
core +2 more sources
International Journal for Numerical Methods in Engineering, Volume 126, Issue 14, 30 July 2025.ABSTRACT Existing methods for constructing splines and Bézier curves on a Lie group G$$ G $$ involve repeated products of exponentials deduced from local geodesics, w.r.t. a Riemannian metric, or rely on general polynomials. Moreover, each of these local curves is supposed to start at the identity of G$$ G $$.
Andreas Müller
wiley +1 more source