Results 71 to 80 of about 1,762,917 (199)

Floer theory for the variation operator of an isolated singularity

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae   +3 more
wiley   +1 more source

Existence and orthogonality of stable envelopes for bow varieties

open access: yesBulletin 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
wiley   +1 more source

Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential

open access: yes, 2016
The integrable nonlocal nonlinear Schrodinger (NNLS) equation with the self-induced parity-time-symmetric potential [Phys. Rev. Lett. 110 (2013) 064105] is investigated, which is an integrable extension of the standard NLS equation.
Wen, Xiao-Yong   +2 more
core   +1 more source

H∞ filtering for 2D continuous‐discrete Takagi–Sugeno fuzzy systems in finite frequency band

open access: yesAsian 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 transforms on Band Matrices, Weights and associated Polynomials

open access: yes, 1999
Classically, it is well known that a single weight on a real interval leads to orthogonal polynomials. In "Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems", Comm. Math. Phys. 207, pp.
Adler, Mark, van Moerbeke, Pierre
core   +3 more sources

Darboux–Halphen–Ramanujan Vector Field on a Moduli of Calabi-Yau Manifolds [PDF]

open access: yesQualitative 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

open access: yesNoûs, 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
wiley   +1 more source

Discrete Integrable Principal Chiral Field Model and Its Involutive Reduction

open access: yesStudies 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 $\sss^n$

open access: yes, 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

Product of Exponentials (POE) Splines on Lie‐Groups: Limitations, Extensions, and Application to SO(3)$$ SO(3) $$ and SE(3)$$ SE(3) $$

open access: yesInternational 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

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