Work

Fractional embeddings and stochastic time

Year: 2008

Type: preprint

Abstract: As a model problem for the study of chaotic Hamiltonian systems, we look for the effects of a long-tail distribution of recurrence times on a fixed Hamiltonian dynamics. We follow Stanislavsky's approach of Hamiltonian formalism for fractional systems. We prove that his formalism can be retrieved from the fractional embedding theory. We deduce that the fractional Hamiltonian systems of Stanislavsky stem from a particular least action principle, said causal. In this case, the fractional embedding becomes coherent.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0809.4389

Authors: Cresson, Jacky, Inizan, Pierre

Institutions: Université de Pau et des Pays de l'Adour, Laboratoire de Mathématiques et de leurs Applications, Institut de Mécanique Céleste et de Calcul des Éphémérides

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1608762789

Cites: 17

Cited by: 2

Related to: 10