Work

A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems

Year: 2025

Type: article

Abstract: We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed. This requires that the Hamiltonian system has as many parameters as the dimension of the normal dynamics, and the algorithm must adjust these parameters. We illustrate the methodology with an implementation of the algorithm computing 2–dimensional elliptic tori in a system of 4 coupled anharmonic oscillators (4 degrees of freedom).

Source: Nonlinearity

Authors: Chiara Caracciolo, Jordi-Lluís Figueras, Alex Haro

Institutions: Uppsala University, University of Padua, Centre de Recerca Matemàtica, Universitat de Barcelona

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funders: Ministerio de Ciencia, Innovación y Universidades, Vetenskapsrådet, Agencia Estatal de Investigación, Uppsala Multidisciplinary Center for Advanced Computational Science