Results 41 to 50 of about 33,489 (278)

Analytic reducibility of nondegenerate centers: Cherkas systems

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible.
Jaume Giné, Jaume Llibre
doaj   +1 more source

Polynomial Integration Lattices [PDF]

, 2004
Lattice rules are quasi-Monte Carlo methods for estimating largedimensional integrals over the unit hypercube. In this paper, after briefly reviewing key ideas of quasi-Monte Carlo methods, we give an overview of recent results, generalize some of them, and provide new results, for lattice rules defined in spaces of polynomials and of formal series ...
openaire   +1 more source

Computation of conservation laws for nonlinear lattices

, 1998
An algorithm to compute polynomial conserved densities of polynomial nonlinear lattices is presented. The algorithm is implemented in Mathematica and can be used as an automated integrability test.
Ablowitz, Ablowitz, Ablowitz, Ablowitz, Cherdantsev, Deconinck, Göktaş, Göktaş, Hickernell, Hohler, Hu, Hénon, LeVeque, Levi, Levi, Levi, Ramani, Sanz-Serna, Shabat, Sokolov, Toda, Willy Hereman, Wolfram, Yamilov, Ünal Göktaş   +24 more
core   +2 more sources

Preferences for post‐traumatic osteoarthritis prevention strategies in individuals with anterior cruciate ligament injury

Arthritis Care &Research, Accepted Article.
Objectives There is growing interest in evaluating new strategies to delay or prevent post‐traumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury.
Kevin Kennedy, Lily Waddell, Adam Easterbrook, Jeffrey N. Katz, Cale Jacobs, Morgan Jones, Faith Selzer, Elena Losina, Liana Fraenkel, Nick Bansback   +9 more
wiley   +1 more source

First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians L. The Liouville integrability of
Giovanni Rastelli, Luca Degiovanni, Claudia Chanu   +2 more
doaj   +1 more source

Algorithmic Integrability Tests for Nonlinear Differential and Lattice Equations

, 1998
Three symbolic algorithms for testing the integrability of polynomial systems of partial differential and differential-difference equations are presented. The first algorithm is the well-known Painlev\'e test, which is applicable to polynomial systems of
Ablowitz, Ablowitz, Ablowitz, Antonio J Miller, Calogero, Cariello, Cherdantsev, Chudnovsky, Clarkson, Conte, Conte, Contopoulos, Doktorov, Faddeev, Flaschka, Fokas, Gibbon, Goriely, Grammaticos, Grammaticos, Grammaticos, Göktaş, Göktaş, Göktaş, Göktaş, Hereman, Hereman, Hereman, Hereman, Hirota, Itoh, Kruskal, Kruskal, Kruskal, Kruskal, Lakshmanan, Lakshmanan, Levi, Menyuk, Michael D Colagrosso, Mikhailov, Miura, Musette, Musette, Newell, Novikov, Nunes da Costa, Olver, Palais, Ramani, Ramani, Rauch-Wojciechowski, Sachs, Scheen, Shabat, Sparrow, Steeb, Tamizhmani, Verheest, Verheest, Weiss, Willy Hereman, Wolfram, Ünal Göktaş   +63 more
core   +2 more sources

Quantum Inozemtsev model, quasi-exact solvability and N-fold supersymmetry [PDF]

, 2001
Inozemtsev models are classically integrable multi-particle dynamical systems related to Calogero-Moser models. Because of the additional q^6 (rational models) or sin^2(2q) (trigonometric models) potentials, their quantum versions are not exactly ...
Adler M, Andrianov A A, Aoyama H, Aoyama H, Aoyama H, Bender C M, Bordner A J, Bordner A J, Bordner A J, Bordner A J, Bordner A J, Bordner A J, Bordner A J, Bordner A J, Calogero F, Calogero F, D'Hoker E, Dorey P, Dorey P, Finkel F, Finkel F, Heckman G J, Heckman G J, Hou X, Hou X, Inozemtsev V I, Inozemtsev V I, Inozemtsev V I, K Takasaki, Khare A, Khastgir S P, Khastgir S P, Klishevich S M, Klishevich S M, Mayer D, Moser J, Olshanetsky M A, Olshanetsky M A, Opdam E M, Opdam E M, Oshima T, R Sasaki, Razavy M, Sasaki R, Stieltjies T J, Stieltjies T J, Suzuki J, Szegö G, Turbiner A V   +48 more
core   +3 more sources

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Adiabatic quantum state preparation in integrable models [PDF]

Quantum
We propose applying the adiabatic algorithm to prepare high-energy eigenstates of integrable models on a quantum computer. We first review the standard adiabatic algorithm to prepare ground states in each magnetization sector of the prototypical XXZ ...
Maximilian Lutz, Lorenzo Piroli, Georgios Styliaris, J. Ignacio Cirac   +3 more
doaj   +1 more source

A generalization of Szebehely's inverse problem of dynamics in dimension three [PDF]

, 2016
Extending a previous paper, we present a generalization in dimension 3 of the traditional Szebehely-type inverse problem. In that traditional setting, the data are curves determined as the intersection of two families of surfaces, and the problem is to ...
Mestdag, T., Prince, G., Sarlet, W.
core   +3 more sources