Gallery

Animations

Cantor potential (1.4M)
Relaxation of a coupled map lattices (0.3M)
Stochastic stabilisation (0.3M)
Mixing in diamond billiards (6.1M); featured in the Mathematics Ethnographies project.
Anomalous diffusion in the Lorentz gas (4.8M)

Click on an image for more details.

Dettmann-Morriss theorem: Proof of Lyapunov exponent pairing for systems at constant kinetic energy. C. P. Dettmann and G. P. Morriss, Phys. Rev. E, 53, R5545-R5548 (1996), pdf featured in Ruelle, J. Stat Phys. 95 393-468 (1999).
Dettmann Hamiltonian: Personal communication to W. G. Hoover, see Physica A 240 1-11 (1997). Also, Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics C. P. Dettmann and G. P. Morriss, Phys. Rev. E, 55, 3693-3696 (1997), pdf, see recently Campisi, Zhan, Talkner and Hanggi, Phys. Rev. Lett. 108 250601 (2012).
Stochastic stabilization of cosmological photons. C. P. Dettmann, J. P. Keating and S. Prado, J. Phys. A: Math. Theor. 37 L377-L383 (2004) pdf. arxiv, featured in the June 2010 issue of Mathematics Today, pdf available here.
Open mushrooms: Stickiness revisited, C. P. Dettmann and O. Georgiou, J. Phys. A.: Math. Theor. 44 195102 (2011), featured in an Insights article.
Dettmann conjectures: New horizons in multidimensional diffusion: The Lorentz gas and the Riemann Hypothesis, C. P. Dettmann, J. Stat. Phys. 146 181-204 (2012), featured in Nandori, Szasz and Varju arxiv:1210.2231