[1]
Arroyo, A., Markarian, R. and Sanders, D. P.. Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries. Nonlinearity
22(7) (2009), 1499–1522.
[2]
Arroyo, A., Markarian, R. and Sanders, D. P.. Structure and evolution of strange attractors in non-elastic triangular billiards. Chaos
22 (2012), 026107.
[3]
Bonatti, C. and Viana, M.. SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Israel J. Math.
115 (2000), 157–193.
[4]
Chernov, N.. Decay of correlations and dispersing billiards. J. Stat. Phys.
94(3–4) (1999), 513–556.
[5]
Chernov, N. and Markarian, R.. Chaotic Billiards
(Mathematical Surveys and Monographs, 127)
. American Mathematical Society, Providence, RI, 2006.
[6]
Chernov, N. and Zhang, H.-K.. Billiards with polynomial mixing rates. Nonlinearity
18(4) (2005), 1527–1553.
[7]
Chernov, N. and Zhang, H.-K.. On statistical properties of hyperbolic systems with singularities. J. Stat. Phys.
136(4) (2009), 615–642.
[8]
Del Magno, G., Lopes Dias, J., Duarte, P., Gaivão, J. P. and Pinheiro, D.. Chaos in the square billiard with a modified reflection law. Chaos
22 (2012), 026106.
[9]
Del Magno, G., Lopes Dias, J., Duarte, P., Gaivão, J. P. and Pinheiro, D.. SRB measures for polygonal billiards with contracting reflection laws. Comm. Math. Phys.
329 (2014), 687–723.
[10]
Del Magno, G., Lopes Dias, J., Duarte, P. and Gaivão, J. P.. Ergodicity of polygonal slap maps. Nonlinearity
27(8) (2014), 1969–1983.
[11]
Del Magno, G., Lopes Dias, J., Duarte, P. and Gaivão, J. P.. Ergodic properties of polygonal billiards with strongly contracting reflection laws, Preprint, 2015, arXiv:1501.03697. [12]
Erickson, L. H. and La Valle, S. M.. Toward the design and analysis of blind, bouncing robots. IEEE Int. Conf. on Robotics and Automation (Karlsruhe, Germany, 6–10 May 2013). IEEE, Piscataway, NJ, 2013.
[13]
Katok, A.
et al. . Invariant Manifolds, Entropy and Billiards; Smooth Maps with Singularities
(Lecture Notes in Mathematics, 1222)
. Springer, Berlin, 1986.
[14]
Markarian, R., Pujals, E. J. and Sambarino, M.. Pinball billiards with dominated splitting. Ergod. Th. & Dynam. Sys.
30(6) (2010), 1757–1786.
[15]
Palis, J.. A global view of dynamics and a conjecture on the denseness of finitude of attractors. Astérisque
261 (2000), 339–351.
[16]
Pesin, Y. B.. Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties. Ergod. Th. & Dynam. Sys.
12(1) (1992), 123–151.
[17]
Sataev, E. A.. Invariant measures for hyperbolic mappings with singularities. Uspekhi Mat. Nauk
47(1(283)) (1992), 147–202, 240; Engl. trans. Russian Math. Surveys
47(1) (1992), 191–251.
[18]
Sheriff, R. E. and Geldart, L. P.. Exploration Seismology. Cambridge University Press, Cambridge, 1995.
