30 citations · 54 across the 5 of their papers we have counts for
5 papers
Strangely dispersed minimal sets in the quasiperiodically forced Arnold map
P. Glendinning, T. Jaeger, J. Stark
We study quasiperiodically forced circle endomorphisms, homotopic to the identity, and show that under suitable conditions these exhibit uncountably many minimal sets with a compli…
Towards a classification for quasiperiodically forced circle homeomorphisms
Tobias H. Jaeger, Jaroslav Stark
Poincare's classification of the dynamics of homeomorphisms of the circle is one of the earliest, but still one of the most elegant, classification results in dynamical systems. He…
A quasi-diagonal approach to the estimation of Lyapunov spectra for spatio-temporal systems from multivariate time series
R. Carretero-González, S. Ørstavik, J. Stark
We describe methods of estimating the entire Lyapunov spectrum of a spatially extended system from multivariate time-series observations. Provided that the coupling in the system i…
Approximate renormalization for the break-up of invariant tori with three frequencies
C. Chandre, R. S. MacKay
We construct an approximate renormalization transformation for Hamiltonian systems with three degrees of freedom in order to study the break-up of invariant tori with three incomme…
Scaling and interleaving of sub-system Lyapunov exponents for spatio-temporal systems
R. Carretero-González, S. Ørstavik, J. Huke +2
The computation of the entire Lyapunov spectrum for extended dynamical systems is a very time consuming task. If the system is in a chaotic spatio-temporal regime it is possible to…