4 papers
Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization
Freddy Christiansen, Hans Henrik Rugh
We present a straightforward and reliable continuous method for computing the full or a partial Lyapunov spectrum associated with a dynamical system specified by a set of different…
Hopf's last hope: spatiotemporal chaos in terms of unstable recurrent patterns
Freddy Christiansen, Predrag Cvitanovic', Vakhtang Putkaradze
Spatiotemporally chaotic dynamics of a Kuramoto-Sivashinsky system is described by means of an infinite hierarchy of its unstable spatiotemporally periodic solutions. An intrinsic…
A generating partition for the standard map
Freddy Christiansen, Antonio Politi, Istituto Nazionale di Ottica +2
A procedure to obtain the symbolic dynamics for conservative dynamical systems is introduced with reference to the standard map in a strongly chaotic regime. The method extends an…
Non-integrability of the mixmaster universe
Freddy Christiansen, Hans Henrik Rugh, Svend Erik Rugh
We comment on an analysis by Contopoulos et al. which demonstrates that the governing six-dimensional Einstein equations for the mixmaster space-time metric pass the ARS or reduced…