We examine the question of accurately determining Lyapunov exponents for a time series.
We find that it is advantageous to use local mappings with higher-order Taylor series, rather …

Current theoretical and experimental work on quasiperiodicity is reviewed in this tutorial.
The concept of universality and its relevance to experiments on nonlinear multifrequency …

The bifurcation set in the three-dimensional parameter space of the periodically driven van
der Pol oscillator has been investigated by continuation of local bifurcation curves. The two …

Dynamische Systeme können durch mathematische Gleichungen modelliert werden, die
eine eindeutige Vorschrift zur Berechnung der zeitlichen Entwicklung des Systemzustandes …

An experimental study is made of the interactions between spin-wave modes excited in a
sphere of yttrium iron garnet by pumping the Suhl subsidiary absorption at 9.2 GHz with the …

Predator-prey systems in continuously operated chemostats exhibit sustained oscillations
over a wide range of operating conditions. When the chemostat is operated periodically, the …

The periodically perturbed oscillations in the isothermal CO oxidation on a Pt (110) surface
at low pressure were modeled using the recently developed reconstruction model of kinetic …

The results of a theoretical and experimental study of a parametrically excited double
pendulum with Z 2⊕ Z 2 symmetry are presented. Local analysis of the equations at multiple …

The saline oscillator consists of an inner vessel containing salt water partially immersed in
an outer vessel of fresh water, with a small orifice in the center of the bottom of the inner …

We investigate generic aspects of chaos synchronization in an externally forced Rössler
system. By comparing different diagnostic methods, we show the existence of a well-defined …