Results 151 to 160 of about 1,912 (198)

Dynamics of uncertainties for one-dimensional semiclassical wave packets: Isochronicity, scattering, and capture

Journal of Mathematics and Physics, 2019
We complete our study on the uncertainties in position and momentum associated with the semiclassical Hagedorn wave packets by first filling in a technical gap in the dynamics of bound states for isochronous potentials.
Predrag Punoševac, Sam L. Robinson
semanticscholar   +1 more source

ON THE ISOCHRONICITY OF PERIODIC SOLUTIONS AT A CENTRE MANIFOLD

Journal of Energy Technology
The problem of isochronicity is discussed from the historical and dynamical systems point of view. The model of Huygen’s cycloidal chops is mathematically explained.
Brigita Ferčec, M. Mencinger
semanticscholar   +1 more source

Isochronous Centers and Isochronous Functions

Acta Mathematicae Applicatae Sinica, English Series, 2002
The author investigates the isochronous centers of two classes of planar systems of ordinary differential equations: 1) Liénard systems of the form \((\dot x)=y-F(x),(\dot y)=-g(x)\), 2) Hamiltonian systems of the form \((\dot x)=-g(y)\), \((\dot y)=f(x)\), with emphasis on the case when the functions \(g\) or \(f\) are isochronous. For the first class
openaire   +2 more sources

THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS

Reviews in Mathematical Physics, 2013
Partha Guha
exaly   +2 more sources

Isochronous and Strongly Isochronous Foci of Polynomial Liénard Systems

Differential Equations, 2022
A two-dimensional Liénard system having an isochronous focus at the origin is studied. A normal form is proposed to this end to study the global behavior of the system.
openaire   +2 more sources

Isochronous and partially isochronous Hamiltonian systems are not rare

Journal of Mathematical Physics, 2006
A technique is provided that allows to associate to a Hamiltonian another, ω-modified, Hamiltonian, which reduces to the original one when the parameter ω vanishes, and for ω>0 features an open, hence fully dimensional, region in its phase space where all its solutions are isochronous, i.e., completely periodic with the same period. The class of
CALOGERO, Francesco, LEYVRAZ F.
openaire   +2 more sources

Isochrones and brachistochrones

Neural Parallel Sci. Comput., 2020
Summary: Christian Huygens proved in 1659 that a particle sliding smoothly (under uniform gravity) on a cycloid with axis vertically down reaches the base in a period independent of the starting point. He built very accurate pendulum clocks, with cycloidal pendulums. \textit{M. Denny} [Math. Today, Southend-on-Sea 34, No.
openaire   +2 more sources

Isochronicity Conditions and Lagrangian Formulations of the Hirota Type Oscillator Equations

Qualitative Theory of Dynamical Systems, 2022
A. Ghose-Choudhury, P. Guha
semanticscholar   +1 more source

Stellar Evolution Tracks, Isochrones, and Isochrone-Clouds

2021
The modelling of stellar interiors is performed by critically comparing observations to carefully constructed theoretical stellar models. These theoretical stellar models are predicated on a number of assumptions and simplifications that have implications for the results of the modelling.
openaire   +1 more source

Beware the isochronic fork

Integration, 1992
Abstract Networks of so-called VLSI operators connected by wires form an attractive abstraction of the VLSI medium. However, for the design of non-trivial delay-insensitive circuits so-called isochronic forks are essential. When not carefully implemented, these isochronic forks may give rise to hazardous behavior.
openaire   +1 more source