Advanced search
Start date
Betweenand

Effects of dissipation, transient and dynamical properties in discrete mappings

Grant number: 14/18672-8
Support Opportunities:Regular Research Grants
Start date: November 01, 2014
End date: October 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Principal Investigator:Juliano Antonio de Oliveira
Grantee:Juliano Antonio de Oliveira
Host Institution: Universidade Estadual Paulista (UNESP). Campus Experimental São João da Boa Vista. São João da Boa Vista , SP, Brazil
Associated researchers:Edson Denis Leonel

Abstract

In this project we consider a family of one-dimensional mappings parametrised by a exponent $\gamma$ as a dynamical variable. Choosing some control parameters and a transformation in the spatial variable we recover different mappings known in the literature. We propose in this research to build orbit diagrams to analyse the dynamics of the system.We intend to study analytically and numerically the convergence to fixed points and use Lyapunov exponents to characterize the chaos. We propose extend our studies to analyse the family of two-dimensional mappings parametrized by control parameter $\gamma$. We propose introduce dissipation in the system to investigate the crisis boundary phenomena and analyse the space parameters. We restrict to the study of the Fermi-Ulam model under a action of external force. The main goals in this study is investigate analytically the average properties along of chaotic orbits to found critical expoenents to define universality classes. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
More itemsLess items
Articles published in other media outlets ( ):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications (11)
(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 OLIVEIRA, JULIANO A.; DE MENDONCA, HANS M. J.; DA SILVA, ANDERSON A. A.; LEONEL, EDSON D.. Critical Slowing Down at a Fold and a Period Doubling Bifurcations for a Gauss Map. Brazilian Journal of Physics, v. 49, n. 6, p. 923-927, . (18/14685-9, 15/22062-3, 14/18672-8, 17/14414-2, 12/23688-5)
MENDEZ-BERMUDEZ, J. A.; DE OLIVEIRA, JULIANO A.; LEONEL, EDSON D.. Two-dimensional nonlinear map characterized by tunable Levy flights. Physical Review E, v. 90, n. 4, . (13/14655-9, 14/18672-8, 12/23688-5)
DE OLIVEIRA, JULIANO A.; MONTERO, LEONARDO T.; DA COSTA, DIOGO R.; MENDEZ-BERMUDEZ, J. A.; MEDRANO-T, RENE O.; LEONEL, EDSON D.. An investigation of the parameter space for a family of dissipative mappings. Chaos, v. 29, n. 5, . (14/18672-8, 18/14685-9, 17/14414-2, 15/50122-0)
DE OLIVEIRA, JULIANO A.; DE MENDONCA, HANS M. J.; DA COSTA, DIOGO R.; LEONEL, EDSON D.. Effects of a parametric perturbation in the Hassell mapping. CHAOS SOLITONS & FRACTALS, v. 113, p. 238-243, . (15/22062-3, 14/18672-8, 17/14414-2, 12/23688-5)
DE OLIVEIRA, JULIANO A.; RAMOS, LARISSA C. N.; LEONEL, EDSON D.. Dynamics towards the steady state applied for the Smith-Slatkin mapping. CHAOS SOLITONS & FRACTALS, v. 108, p. 119-122, . (17/14414-2, 17/17294-8, 14/18672-8)
PERRE, RODRIGO M.; CARNEIRO, BARBARA P.; MENDEZ-BERMUDEZ, J. A.; LEONEL, EDSON D.; DE OLIVEIRA, JULIANO A.. On the dynamics of two-dimensional dissipative discontinuous maps. CHAOS SOLITONS & FRACTALS, v. 131, . (18/14685-9, 17/14414-2, 19/06931-2, 14/18672-8)
MENDEZ-BERMUDEZ, J. A.; DE OLIVEIRA, JULIANO A.; LEONEL, EDSON D.. Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps. Physics Letters A, v. 380, n. 22-23, p. 1959-1963, . (12/23688-5, 14/25997-0, 13/14655-9, 14/18672-8)
MENDEZ-BERMUDEZ, J. A.; DE OLIVEIRA, JULIANO A.; AGUILAR-SANCHEZ, R.; LEONEL, EDSON D.. Scaling properties for a family of discontinuous mappings. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 436, p. 943-951, . (12/23688-5, 14/25997-0, 13/14655-9, 14/18672-8)
DE MENDONCA, HANS M. J.; LEONEL, EDSON D.; DE OLIVEIRA, JULIANO A.. An investigation of the convergence to the stationary state in the Hassell mapping. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 466, p. 537-543, . (14/18672-8, 12/23688-5, 15/22062-3)
DA COSTA, DIOGO RICARDO; DETTMANN, CARL P.; DE OLIVEIRA, JULIANO A.; LEONEL, EDSON D.. Dynamics of classical particles in oval or elliptic billiards with a dispersing mechanism. Chaos, v. 25, n. 3, . (12/23688-5, 14/18672-8, 12/18962-0, 13/22764-2)
MENDEZ-BERMUDEZ, J. A.; DE OLIVEIRA, JULIANO A.; LEONEL, EDSON D.. Two-dimensional nonlinear map characterized by tunable Levy flights. Physical Review E, v. 90, n. 4, p. 5-pg., . (12/23688-5, 13/14655-9, 14/18672-8)