Interference of robust tori in the dynamics of non-linear systems

• Grant number: 10/20276-2
• Support Opportunities: Regular Research Grants
• Start date: April 01, 2011
• End date: March 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Ricardo Egydio de Carvalho
• Grantee: Ricardo Egydio de Carvalho
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Associated researchers: Caroline Gameiro Lopes Martins ; Emanuel Fernandes de Lima ; Iberê Luiz Caldas ; Marisa Roberto

Abstract

We consider a system with isochronous rsonances and an aditional term, which leads to the multiplication of the periodic orbits. After the resonances reconncetion, transport barriers appear due to the emergent meandering curves. When we studied the problem with two isochronous resonances, the most rigid meandering curve was associated with the smaller rotation number. Now, we intend to introduce more than two resonances, verify the birth of regions with meandering curves and investigate the behavior of the corresponding shearless curve as a function of the rotation number. Other additionals calculation can be performed. (AU)

Scientific publications

(9)

(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)

DE LIMA, E. F.; ROSADO, E. C.; CASTELANO, L. K.; DE CARVALHO, R. EGYDIO. Quantum-classical correspondence and the role of the dipole function in molecular dissociation. Physics Letters A, v. 378, n. 36, p. 2657-2663, JUL 18 2014. (10/20276-2)

DE LIMA, EMANUEL F.. Morse basis expansion applied to diatomic molecules. Physics Letters A, v. 376, n. 10-11, p. 1042-1047, FEB 20 2012. (10/20276-2)

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)

DE ALMEIDA, JR., A. K.; EGYDIO DE CARVALHO, R.; DE LIMA, E. F.. Controlling dissociation by trapping trajectories in highly energetic states. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 449, p. 101-110, MAY 1 2016. (10/20276-2, 14/23648-9, 14/00334-9)

VIEIRA ABUD, C.; EGYDIO DE CARVALHO, R.. Multifractality, stickiness, and recurrence-time statistics. Physical Review E, v. 88, n. 4, OCT 29 2013. (10/20276-2)

CASTALDI, B.; EGYDIO DE CARVALHO, R.; VIEIRA ABUD, C.; MIJOLARO, A. P.. Tunable Fermi acceleration in a nondissipative driven magnetic billiard. Physical Review E, v. 89, n. 1, JAN 21 2014. (11/14460-8, 10/20276-2)

DE OLIVEIRA, LUIS C.; MARTINS, CAROLINE G. L.; ROBERTO, M.; CALDAS, I. L.; EGYDIO DE CARVALHO, R.. Robust tori-like Lagrangian coherent structures. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 391, n. 24, p. 6611-6616, DEC 15 2012. (10/20276-2, 10/16666-0)

DE LIMA, EMANUEL F.; EGYDIO DE CARVALHO, R.. Effects of oscillatory behavior of the dipole function on the dissociation dynamics of the classical driven Morse oscillator. PHYSICA D-NONLINEAR PHENOMENA, v. 241, n. 20, p. 1753-1757, OCT 15 2012. (10/20276-2)

DE LIMA, EMANUEL F.; RAMOS, TARCIUS N.; EGYDIO DE CARVALHO, R.. Role of the range of the dipole function in the classical dynamics of molecular dissociation. Physical Review E, v. 87, n. 1, JAN 3 2013. (10/20276-2, 10/20683-7)