Results 61 to 70 of about 77,626 (202)
Quadrature Based Neural Network Learning of Stochastic Hamiltonian Systems
MathematicsHamiltonian Neural Networks (HNNs) provide structure-preserving learning of Hamiltonian systems. In this paper, we extend HNNs to structure-preserving inversion of stochastic Hamiltonian systems (SHSs) from observational data.
Xupeng Cheng, Lijin Wang, Yanzhao Cao
doaj +1 more source
一个阿贝尔积分根的数目的下界(A lower bound for the number of zeroes about an Abelian integral)
Zhejiang Daxue xuebao. Lixue ban, 2013 Hopf bifurcation is an important part of bifurcation theory of dynamical systems. Almost all known works are concerned with the bifurcation and number of limit cycles near a nondegenerate focus or center.
YANDong-mei(严冬梅) +1 more
doaj +1 more source
The matrix realization of affine Jacobi varieties and the extended Lotka-Volterra lattice
, 2003 We study completely integrable Hamiltonian systems whose monodromy matrices are related to the representatives for the set of gauge equivalence classes $\boldsymbol{\mathcal{M}}_F$ of polynomial matrices.
Adler M +27 more
core +4 more sources
Corrigendum: Cubic polynomials on Lie groups: reduction of the Hamiltonian system [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 The purpose of this corrigendum is to replace lemma 6 on page 13 of the paper to guarantee the accuracy of other results derived from it, in particular, the discussion after remark 4 on page 15. In the original version, the result we prove does not allow us to conclude, as we claim, that the set of constants of the motion we identify can be used with ...
Abrunheiro, L +2 more
openaire +3 more sources
Advanced Intelligent Systems, EarlyView.This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy +2 more
wiley +1 more source
Hidden Algebra of Three-Body Integrable Systems
, 1998 It is shown that all 3-body quantal integrable systems that emerge in the Hamiltonian reduction method possess the same hidden algebraic structure. All of them are given by a second degree polynomial in generators of an infinite-dimensional Lie algebra ...
ALEXANDER TURBINER, Perelomov A. M.
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Emergent Spin Hall Quantization and High‐Order van Hove singularities in Square‐Octagonal MA2Z4
Advanced Physics Research, EarlyView.Square‐octagonal MA2Z4 (M = Mo/W, A = Si/Ge, Z = pnictogen) monolayers are predicted to realize quantum spin Hall insulators with nearly quantized spin Hall conductivity enabled by an emergent spin U(1) quasi‐symmetry. Materials with Z = As and Sb host quasi‐flat bands with high‐order van Hove singularities near the Fermi level, making them promising ...
Rahul Verma +3 more
wiley +1 more source
Parent Hamiltonians of Jastrow wavefunctions
SciPost Physics Core, 2021 We find the complete family of many-body quantum Hamiltonians with ground-state of Jastrow form involving the pairwise product of a pair function in an arbitrary spatial dimension.
Mathieu Beau, Adolfo del Campo
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A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, EarlyView.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
Z2-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers
Electronic Journal of Differential Equations, 2019 We provide the normal forms of all $\mathbb{Z}_2$-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin.
Fabio Scalco Dias +2 more
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