Results 41 to 50 of about 2,284 (152)

Persistence of unknottedness of clean Lagrangian intersections

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Let Q0$Q_0$ and Q1$Q_1$ be two Lagrangian spheres in a six‐dimensional symplectic manifold. Assume that Q0$Q_0$ and Q1$Q_1$ intersect cleanly along a circle that is unknotted in both Q0$Q_0$ and Q1$Q_1$. We prove that there is no nearby Hamiltonian isotopy of Q0$Q_0$ and Q1$Q_1$ to a pair of Lagrangian spheres meeting cleanly along a circle ...
Johan Asplund, Yin Li
wiley   +1 more source

A Critical Review of Pole Clustering Techniques: Common Pitfalls, Extension to MIMO and New Enhanced Variant of the Cuckoo Search Algorithm

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2501-2533, November/December 2025.
Enhanced Cuckoo Search for Model Order Reduction ABSTRACT This article presents a critical review of classical and modern pole clustering techniques for model order reduction in high‐order systems. It highlights key limitations and common pitfalls encountered in traditional approaches, especially when extended to Multi‐Input Multi‐Output (MIMO) systems.
Kamel Ben Slimane, Zied Tmar, Mongi Besbes   +2 more
wiley   +1 more source

Symplectic Geometry and Its Applications on Time Series Analysis

Structure Topology and Symplectic Geometry, 2020
This chapter serves to introduce the symplectic geometry theory in time series analysis and its applications in various fields. The basic concepts and basic elements of mathematics relevant to the symplectic geometry are introduced in the second section.
Min Lei
semanticscholar   +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
wiley   +1 more source

基于ISGMD⁃RPT的滚动轴承故障诊断方法

Zhendong Ceshi yu Zhenduan
针对传统辛几何模态分解（symplectic geometry mode decomposition， 简称SGMD）方法因嵌入维数选择依靠经验公式，导致出现信号模态混叠和过度分解的问题，提出了一种改进的辛几何模态分解（improved symplectic geometry mode decomposition， 简称ISGMD）方法。首先，通过计算原始信号的功率谱密度得到最大主峰的频率并设定嵌入维数区间，根据峭度准则筛选分解后的辛几何分量（symplectic geometry component，
doaj   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods

Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.
ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
wiley   +1 more source

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +1 more source

Epileptic seizure detection with deep EEG features by convolutional neural network and shallow classifiers. [PDF]

Front Neurosci, 2023
Zeng W, Shan L, Su B, Du S.
europepmc   +1 more source

基于SE-improved SGMD的混合储能容量优化配置方法研究

Gaoya dianqi
采用混合储能系统平抑风电输出功率波动可有效解决风电并网问题，而不同功率分配方法对混合储能优化配置结果影响大，为此提出一种基于样本熵改进的辛几何模态分解方法（sample entropy-improved symplectic geometric mode decomposition，SE-improved SGMD）的混合储能系统功率分配策略。首先，采用SGMD对不平衡功率进行分解，获取一系列辛几何分量SGC（symplectic geometry component）；然后 ...
刘禹彤, 赵琳, 王鑫太
doaj