List of Publications

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Published

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[19] M. Hansen, D. R. da Costa, I. L. Caldas, E. D. Leonel

"Statistical properties for an open oval billiard: An investigation of the escaping basins"

Chaos, Solitons and Fractals 106 (2018) 355-362

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[18] D. R. da Costa, R. O. Medrano-T, E. D. Leonel

"Route to chaos and some properties in the boundary crisis of a generalized logistic mapping"

Physica A 486, 674-680 (2017)
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[17] J. A. de Oliveira, D. R. da Costa, E. D. Leonel

"Survival probability for chaotic particles in a set of area preserving maps"

Eur. Phys. J. Special Topics 225, 2751-2761 (2016)

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[16] D. R. da Costa,  M. Hansen, G. Guarise, R. O.  Medrano-T, E. D. Leonel

"The role of extreme orbits in the global organization of periodic regions in parameter space for one dimensional maps"

Physics Letters. A 380, 1610-1614 (2016)

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[15] D. R. da Costa,  C. P. Dettmann, J. A. de Oliveira, E. D. Leonel

"Dynamics of classical particles in oval or elliptic billiards with a dispersing mechanism"

Chaos: An Interdisciplinary Journal of Nonlinear Science v. 25, 033109 (2015)
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[14] D. R. da Costa

"A dissipative Fermi-Ulam model under two different kinds of dissipation"

Communications in Nonlinear Science & Numerical Simulation  v. 22, 1263–1274 (2015)                  

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[13] D. R. da Costa, C. P. Dettmann, E. D. Leonel

"Circular, elliptic and oval billiards in a gravitational field"                                                              

Communications in Nonlinear Science & Numerical Simulation v. 22, 731–746 (2015)                       

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[12] D. R. da Costa, C. P. Dettmann, E. D. Leonel

"Transport and dynamical properties for a bouncing ball model with regular and 

stochastic perturbations"

Communications in Nonlinear Science & Numerical Simulation v. 20, 871–881 (2015)                       

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[11] M. Hansen, D. R. da Costa, D. F. M. Oliveira, E. D. Leonel

"Statistical properties for a dissipative model of relativistic particles in a wave

packet: a parameter space investigation"

Applied Mathematics and Computation v. 238, 387-392 (2014)                                                            

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[10] D. R. da Costa, I. L. Caldas, E. D. Leonel

"Phase space properties and chaotic transport for a particle moving in a time

dependent step potential well"

Applied Mathematics and Computation v. 236, 215-228 (2014)                                                            

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[9] D. R. da Costa, D. F. M. Oliveira, E. D. Leonel

"Dynamical and statistical properties of a rotating oval billiard"

Communications in Nonlinear Science & Numerical Simulation v. 19, 1926–1934 (2014)                  

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[8] D. R. da Costa, M. R. Silva, E. D. Leonel

"Escape beam statistics and dynamical properties for a periodically corrugated

waveguide"

Communications in Nonlinear Science & Numerical Simulation v. 19, 842-850 (2014)                        

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[7] D. R. da Costa, I. L. Caldas, E. D. Leonel

"Dynamical properties for an ensemble of classical particles moving in a driven

potential well with different time perturbation"

Physics Letters A, v. 377, p. 1814-1821 (2013)                                                                                    

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[6] J. A. de Oliveira, C. P. Dettmann, D. R. da Costa, E. D. Leonel

"Scaling invariance of the diffusion coefficient in a family of two-dimensional

Hamiltonian mappings" 
Physical Review E, v. 87, p. 062904 (2013)                                                                                           

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[5] D. R. da Costa, A. L. P. Livorati, E. D. Leonel

"Critical exponents and scaling properties for the chaotic dynamics of a Particle

in a time-dependent potential barrier"   
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 22,

p. 1250250 (2012)                                                                                                                                   

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[4] D. R. da Costa, M. R. Silva, J. A. de Oliveira, E. D. Leonel

"Scaling dynamics for a particle in a time-dependent potential well"  
Physica A, v. 391, p. 3607-3615 (2012)                                                                                                 

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[3] M. R. Silva, D. R. da Costa, E. D. Leonel

"Characterization of multiple reflections and phase space properties for a

periodically corrugated waveguide"   
Journal of Physics A, Mathematical and Theoretical, v. 45, p. 265101 (2012)                                      

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[2] E. D. Leonel, D. R. da Costa, C. P. Dettmann

"Scaling invariance for the escape of particles from a periodically corrugated

waveguide"
Physics Letters. A, v. 376, p. 421-425 (2011)                                                                                        

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[1] D. R. da Costa, C. P. Dettmann, E. D. Leonel

"Escape of particles in a time-dependent potential well" 
Physical Review E, v. 83, p. 066211 (2011)                                                                                           

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