Results 51 to 60 of about 131,499 (275)

Projective dynamics and first integrals

, 2014
We present the theory of tensors with Young tableau symmetry as an efficient computational tool in dealing with the polynomial first integrals of a natural system in classical mechanics.
A. Albouy, A. Albouy, A. Albouy, A. Nijenhuis, A. V. Borisov, A. Young, A.V. Borisov, A.V. Tsiganov, Alain Albouy, B. L. Waerden van der, B. O’Neill, C.G. J. Jacobi, D.E. Littlewood, E. Beltrami, E.T. Whittaker, G. Thompson, G.H. Katzin, H. Knörrer, H. Lundmark, H. Lundmark, H. Weyl, H. Weyl, H. Weyl, J. Chazy, J. L. Synge, J. Liouville, J. S. Frame, J. Towber, J. Vilms, J.-L. Lagrange, L. Euler, L.P. Eisenhart, M. Crampin, M. Crampin, M. Pedroni, P. Appell, P. Appell, P. Painlevé, P. S. Laplace, R. Brouzet, R. L. Agacy, R. Penrose, R. S. Palais, R.G. McLenaghan, S. Benenti, S. Bochner, S. Tabachnikov, T. Levi-Civita, T.Y. Thomas, T.Y. Thomas, V. I. Arnol’d, V. S. Matveev, V. S. Matveev, V.A. Fock, V.V. Kozlov, W. Fulton, W.-L. Chow   +56 more
core   +2 more sources

Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer

Aging and Cancer, EarlyView.
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss, Alexis C. Wardell, Allison M. Deal, Kirsten A. Nyrop, Allison Ross, Yara G. Abdou, Jeffrey D. Aldrich, Lisa A. Cary, E. Claire Dees, Katherine E. Reeder‐Hayes, Emily M. Ray, Natalia Mitin, Denis Tsygankov   +12 more
wiley   +1 more source

Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals

International Journal of Differential Equations
In this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.
Bilal Ghermoul
doaj   +1 more source

First Integrals and Invariants of Systems of Ordinary Differential Equations

Mathematics
We investigate the interplay between monomial first integrals, polynomial invariants of certain group action, and the Poincaré–Dulac normal forms for autonomous systems of ordinary differential equations with a diagonal matrix of the linear part.
Mateja Grašič, Abdul Salam Jarrah, Valery G. Romanovski   +2 more
doaj   +1 more source

Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind.

PLoS ONE, 2023
Highly oscillatory Volterra integral equations are frequently encountered in engineering applications. The Nyström-type method is an important numerical approach for solving such problems.
Qinghua Wu, Mengjun Sun
doaj   +1 more source

Polynomial Structures in One-Loop Amplitudes

, 2008
A general one-loop scattering amplitude may be expanded in terms of master integrals. The coefficients of the master integrals can be obtained from tree-level input in a two-step process. First, use known formulas to write the coefficients of (4-2epsilon)
Britto, Ruth, Feng, Bo, Yang, Gang
core   +2 more sources

Bounding the number of remarkable values via Jouanolou's theorem [PDF]

, 2015
International audienceIn this article we bound the number of remarkable values of a polynomial vector field. The proof is short and based on Jouanolou's theorem about rational first integrals of planar polynomial derivations.
Chèze, Guillaume
core   +4 more sources

Baseline Regional Cholinergic Denervation Predicts Cognitive Trajectories in Moderate Parkinson Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown, Giulia Carli, Prabesh Kanel, Stiven Roytman, Jaimie Barr, Nicolaas I. Bohnen, Roger L. Albin   +6 more
wiley   +1 more source

Application of Power Geometry and Normal Form Methods to the Study of Nonlinear ODEs

EPJ Web of Conferences, 2018
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary differential equations which reduce such systems to a non-degenerative form.
Edneral Victor
doaj   +1 more source

Extended Kalman Filter Using Orthogonal Polynomials

IEEE Access, 2021
This paper reports a new extended Kalman filter where the underlying nonlinear functions are linearized using a Gaussian orthogonal basis of a weighted $\mathcal {L}_{2}$ space.
Kundan Kumar, Shovan Bhaumik, Paresh Date   +2 more
doaj   +1 more source