Static and time-dependent perturbations of the classical elliptical billiard J Koiller, R Markarian, S Oliffson Kamphorst, S Pinto de Carvalho Journal of Statistical Physics 83, 127-143, 1996 | 66 | 1996 |
Time-dependent billiards J Koiller, R Markarian, SO Kamphorst, SP de Carvalho Nonlinearity 8 (6), 983, 1995 | 61 | 1995 |
Chaotic properties of the elliptical stadium R Markarian, S Oliffson Kamphorst, S Pinto de Carvalho | 54 | 1996 |
On Aref's vortex motions with a symmetry center J Koiller, SP De Carvalho, RR Da Silva, LCG De Oliveira Physica D: Nonlinear Phenomena 16 (1), 27-61, 1985 | 41 | 1985 |
Non-Integrability of the 4-Vortex System: Analytical Proof. J Koiller, S Pinto de Carvalho Communications in Mathematical Physics 120, 643-652, 1989 | 40 | 1989 |
The first Birkhoff coefficient and the stability of 2-periodic orbits on billiards SO Kamphorst, S Pinto-de-Carvalho Experimental Mathematics 14 (3), 299-306, 2005 | 37 | 2005 |
Elliptic islands in strictly convex billiards MJD Carneiro, SO Kamphorst, SP De Carvalho Ergodic Theory and Dynamical Systems 23 (3), 799-812, 2003 | 34 | 2003 |
Non-persistence of resonant caustics in perturbed elliptic billiards S Pinto-de-Carvalho, R Ramírez-Ros Ergodic Theory and Dynamical Systems 33 (6), 1876-1890, 2013 | 27 | 2013 |
A lower bound for chaos on the elliptical stadium E Canale, R Markarian, SO Kamphorst, SP de Carvalho Physica D: Nonlinear Phenomena 115 (3-4), 189-202, 1998 | 24 | 1998 |
Periodic orbits of generic oval billiards MJD Carneiro, SO Kamphorst, S Pinto-de-Carvalho Nonlinearity 20 (10), 2453, 2007 | 21 | 2007 |
Periodic orbits of oval billiards on surfaces of constant curvature LC dos Santos, S Pinto-de-Carvalho Dynamical Systems 32 (2), 283-294, 2017 | 12 | 2017 |
Elliptic Islands on the Elliptical Stadium SO Kamphorst, SP de Carvalho Discrete and Continuous Dynamical Systems 7 (4), 663-674, 2001 | 8 | 2001 |
Billiards with a given number of (k, n)-orbits S Pinto-de-Carvalho, R Ramírez-Ros Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (2), 2012 | 3 | 2012 |
Symmetric periodic orbits in symmetric billiards GCG Ferreira, SO Kamphorst, S Pinto-de-Carvalho Nonlinearity 37 (1), 015005, 2023 | 2* | 2023 |
A random billiard map in the circle T Vales, S Pinto-de-Carvalho Dynamical Systems 37 (2), 333-353, 2022 | 2 | 2022 |
Modeling the prevalence of Schistosoma mansoni infection in an endemic population R Oliveira-Prado, MAS Cabral, SO Kamphorst, S Pinto-de-Carvalho, ... arXiv preprint arXiv:1702.05083, 2017 | 2 | 2017 |
Limit sets of convex non-elastic billiards R Markarian, SO Kamphorst, S Pinto-de-Carvalho Dynamical Systems 27 (2), 271-282, 2012 | 2 | 2012 |
Some remarks about homoclinic points of second order differential equations S de Carvalho, R Roussarie Geometric Dynamics: Proceedings of the International Symposium held at the …, 2006 | 2 | 2006 |
Chaos and nonintegrability of point vortex motions J Koiller, SP Carvalho Lab., 1985 | 2 | 1985 |
Oval billiards on surfaces of constant curvature LC dos Santos, S Pinto-de-Carvalho preprint, 2014 | 1 | 2014 |