253 citations · 8.7k across the 368 of their papers we have counts for
Showing 2000 · nlin.CDShow all
2 papers · 2 filters
nlin.CD2000★ 18 cited
Analysing Lyapunov spectra of chaotic dynamical systems
Fotis Diakonos, Detlef Pingel, Peter Schmelcher
It is shown that the asymptotic spectra of finite-time Lyapunov exponents of a variety of fully chaotic dynamical systems can be understood in terms of a statistical analysis. Usin…
nlin.CD2000★ 24 cited
Theory and Applications of the Systematic Detection of Unstable Periodic Orbits in Dynamical Systems
Detlef Pingel, Peter Schmelcher, Fotis Diakonos +1
A topological approach and understanding to the detection of unstable periodic orbits based on a recently proposed method (PRL 78, 4733 (1997)) is developed. This approach provides…