Nontwist phenomena in multi-dimensional Hamiltonian systems

• Grant number: 13/17989-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: December 01, 2013
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - Physics of Fluids, Plasma Physics and Electrical Discharge
• Principal Investigator: Iberê Luiz Caldas
• Grantee: Celso Vieira Abud
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/19296-1 - Nonlinear dynamics, AP.TEM

Abstract

The present project aims to study the nontwist phenomena in multi-dimension Hamiltonian systems.These phenomena have been shown typical for any bi-dimensional Hamiltonian system and, therefore, it's very important the understanding on general way. We propose study them by coupled symplectic maps, that are very representative for equivalent Hamiltonian system. The constructionof a phase space, coherent with the dimension of the problem, is relevant to initiate the applications of numerical methods in order to evaluate the topology. In particular, we aims to develop a method based on the Slater theorem to study the break up of invariant tori. Lastly,an application in transport of particles in plasma magnetically confined by time-dependent fields will be studied.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

EGYDIO DE CARVALHO, R.; VIEIRA ABUD, C.. Robust attractor of non-twist systems. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 440, p. 42-48, DEC 15 2015. (10/20276-2, 13/17989-5, 14/00334-9)

ABUD, C. V.; CALDAS, I. L.. Impact of punctual flat magnetic shear on the field line transport. Physics of Plasmas, v. 22, n. 6, JUN 2015. (11/19296-1, 13/17989-5)

ABUD, C. V.; CALDAS, I. L.. On Slater's criterion for the breakup of invariant curves. PHYSICA D-NONLINEAR PHENOMENA, v. 308, p. 34-39, JUL 15 2015. (13/17989-5, 11/19296-1)