Search results for " conjectur"
showing 10 items of 103 documents
Isotropic stochastic flow of homeomorphisms on Sd for the critical Sobolev exponent
2006
Abstract In this work, we shall deal with the critical Sobolev isotropic Brownian flows on the sphere S d . Based on previous works by O. Raimond and LeJan and Raimond (see [O. Raimond, Ann. Inst. H. Poincare 35 (1999) 313–354] and [Y. LeJan, O. Raimond, Ann. of Prob. 30 (2002) 826–873], we prove that the associated flows are flows of homeomorphisms.
Sobolev-Poincaré implies John
1995
We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a geometric characterisation for the validity of this inequality for simply connected plane domains.
Dynamics of the Selkov oscillator.
2018
A classical example of a mathematical model for oscillations in a biological system is the Selkov oscillator, which is a simple description of glycolysis. It is a system of two ordinary differential equations which, when expressed in dimensionless variables, depends on two parameters. Surprisingly it appears that no complete rigorous analysis of the dynamics of this model has ever been given. In this paper several properties of the dynamics of solutions of the model are established. With a view to studying unbounded solutions a thorough analysis of the Poincar\'e compactification of the system is given. It is proved that for any values of the parameters there are solutions which tend to inf…
Explicit near-symplectic mappings of Hamiltonian systems with Lie-generating functions
2008
The construction of explicit near-symplectic mappings for generic Hamiltonian systems with the utilization of Lie transforms is presented. The method is mathematically rigorous and systematically extended to high order with respect to a perturbation parameter. The explicit mappings are compared to their implicit counterparts, which use mixed-variable generating functions, in terms of conservation of invariant quantities, calculation speed and accurate construction of Poincare surfaces of sections. The comparative study considers a wide range of parameters and initial conditions for which different time scales are involved due to large differences between internal and external frequencies of…
Note latine (III)
2014
Vengo proposti alcuni emendamenti testuali al testo del commento virgiliano di Tiberio Claudio Donato e all´ anonimo "De rebus bellicis".
Congetture alle Metamorfosi di Apuleio
2021
The aim of this paper is to cast new light on the textual constitution of some passages of Apuleius´ Metamorphoses. Ca. 40 pieces are discussed and for the most part of them a new solution is proposed; in the other cases I argue for a solution already proposed, bur not accepted by the editors.
Ad Dionem Chrysostomum
2018
Loci aliquot Dionis Chrysostomi ad genuinam lectionem restituuntur
Coniectanea (III)
2016
The aim of the paper is to restore the text of some passages of Greek (Phrynichus, Scholia in Aristophanem) and Latin (Erasmus) authors.