Results 21 to 30 of about 159,573 (229)

Geometry of Normal Forms for Dynamical Systems

, 2018
We discuss several aspects of the geometry of vector fields in (Poincare'-Dulac) normal form. Our discussion relies substantially on Michel theory and aims at a constructive approach to simplify the analysis of normal forms via a splitting based on the action of certain groups.
openaire   +4 more sources

Existence, stability and the number of two-dimensional invariant manifolds for the convective Cahn–Hilliard equation

Partial Differential Equations in Applied Mathematics
We study the well-known generalised version of the nonlinear Cahn–Hilliard evolution equation, supplemented with periodic boundary conditions. We study local bifurcations in the vicinity of spatially homogeneous equilibrium states.
A.N. Kulikov, D.A. Kulikov
doaj   +1 more source

Singularity theory study of overdetermination in models for L-H transitions

, 1999
Two dynamical models that have been proposed to describe transitions between low and high confinement states (L-H transitions) in confined plasmas are analysed using singularity theory and stability theory.
D. Thomas, D. Thomas, H. Sugama, H. Whitney, H. Zohm, J. Mather, K. C. Shaing, K. C. Shaing, M. Golubitsky, R. Ball, R. Ball, R. Ball, R. L. Dewar, R. Temam, R. Thom, S-I. Itoh, V. I. Arnol'd, V. Lebedev   +17 more
core   +3 more sources

Universal Dynamics of Damped-Driven Systems: The Logistic Map as a Normal Form for Energy Balance

, 2022
26 pages, 31 ...
Kutz, J. Nathan, Rahman, Aminur, Ebers, Megan R., Koch, James, Bramburger, Jason J.   +4 more
openaire   +2 more sources

Anomalous Normal-State Properties of High-T$_c$ Superconductors -- Intrinsic Properties of Strongly Correlated Electron Systems?

, 1995
A systematic study of optical and transport properties of the Hubbard model, based on Metzner and Vollhardt's dynamical mean-field approximation, is reviewed.
Anderson P.W., Dessau D., Grewe N., Itzykson C., J.K. Freericks, Janiˇs V., Jarrell M., Keiter H., Loidl A., M. Jarrell, Madelung O., Migdal A.B., Pennington C.H., Quitmann C., Schweitzer H., Th. Pruschke, Vollhardt D.   +16 more
core   +2 more sources

Bridges Between Subriemannian Geometry and Algebraic Geometry

, 2014
We consider how the problem of determining normal forms for a specific class of nonholonomic systems leads to various interesting and concrete bridges between two apparently unrelated themes.
Castro, Alex L, Howard, Wyatt, Shanbrom, Corey   +2 more
core   +1 more source

Feasibility and Preliminary Efficacy of Integrative Neuromuscular Training for Childhood Cancer Survivors: A Pilot Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survivors of childhood acute lymphoblastic leukemia (ALL) often exhibit early deficits in muscle and movement competence, which can compromise long‐term health. Integrative neuromuscular training (INT), a multifaceted approach combining fundamental movement activities with strength exercises, may help address these deficits during ...
Anna Maria Markarian, Robert U. Newton, Dennis R. Taaffe, Nicholas G. Gottardo, Santosh Valvi, Carolyn J. Peddle‐McIntyre, Jodie Cochrane Wilkie, Daniel A. Galvão   +7 more
wiley   +1 more source

Discovering governing equations from data: Sparse identification of nonlinear dynamical systems

, 2015
The ability to discover physical laws and governing equations from data is one of humankind's greatest intellectual achievements. A quantitative understanding of dynamic constraints and balances in nature has facilitated rapid development of knowledge ...
Brunton, Steven L., Kutz, J. Nathan, Proctor, Joshua L.   +2 more
core   +1 more source

Two Faces of NOTCH1 in Childhood Lymphoblastic T‐Cell Neoplasia: Prognostic Divergence of Mutational and Structural Aberrations

Pediatric Blood &Cancer, EarlyView.
ABSTRACT In pediatric patients, T‐cell lymphoblastic lymphoma (T‐LBL) survival exceeds 80%. Relapse remains associated with limited curative options. Frontline treatment is largely extrapolated from T‐cell acute lymphoblastic leukemia (T‐ALL) treatment, reflecting the ongoing debate, whether both entities represent distinct diseases or variants within ...
Marie C. Heider, Amelie Alfert, Marc Hotfilder, Birgit Burkardt, Marcel te Vrugt   +4 more
wiley   +1 more source

Normal forms and gauge symmetries of local dynamics

, 2009
A systematic procedure is proposed for deriving all the gauge symmetries of the general, not necessarily variational, equations of motion. For the variational equations, this procedure reduces to the Dirac-Bergmann algorithm for the constrained ...
Lyakhovich, S. L., Sharapov, A. A.
core   +1 more source