Results 71 to 80 of about 6,081 (189)
Existence and orthogonality of stable envelopes for bow varieties
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
H∞ filtering for 2D continuous‐discrete Takagi–Sugeno fuzzy systems in finite frequency band
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
Geometry of Darboux-Manakov-Zakharov systems and its application [PDF]
The intrinsic geometric properties of generalized Darboux-Manakov-Zakharov systems of semilinear partial differential equations \label{GDMZabstract} \frac{\partial^2 u}{\partial x_i\partial x_j}=f_{ij}\Big(x_k,u,\frac{\partial u}{\partial x_l}\Big), 1 ...
Vassiliou, Peter J.
core
Darboux integrable discrete equations possessing an autonomous first-order integral
All Darboux integrable difference equations on the quad-graph are described in the case of the equations that possess autonomous first-order integrals in one of the characteristics.
Startsev, S. Ya.
core +1 more source
Darboux and binary Darboux transformations for discrete integrable systems I. Discrete potential KdV equation [PDF]
The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential modified KdV equation and it is shown how these may be ...
Shi, Y., Nimmo, J., Zhao, J.
openaire +5 more sources
Identifying and quantifying natural and anthropogenic disturbances at fine spatial scales is critical to assess the role of forests in climate change mitigation. Using tree rings, fire scars, satellite imagery, official records, and interviews, we reconstructed historical disturbances and identified fires, logging events, landslides, and icy ...
Zhongqian Cheng +3 more
wiley +1 more source
Darboux integrability and rational reversibility in cubic systems with two invariant straight lines
We find conditions for a singular point O(0,0) of a center or a focus type to be a center, in a cubic differential system with two distinct invariant straight lines.
Dumitru Cozma
doaj
Integrability of natural Hamiltonian systems with homogeneous potentials of degree zero
We derive necessary conditions for integrability in the Liouville sense of natural Hamiltonian systems with homogeneous potential of degree zero. We derive these conditions through an analysis of the differential Galois group of variational equations ...
Andrzej J. Maciejewski +21 more
core +3 more sources
Abstract Closed depressions in post‐glacial landscapes can accumulate phosphorus (P) due to repeated flooding and become hotspots for P loss when underlain by subsurface (tile) drainage. Soil P mapping is routinely based on the interpolation of samples from a 1‐ha grid, which may miss closed depressions and underestimate soil P levels leading to ...
Lenarth A. Ferrari +3 more
wiley +1 more source
The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas
To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group.
Mark E. Fels, Ian M. Anderson
doaj +1 more source

