89 citations · 131 across the 2 of their papers we have counts for
4 papers
Synchronization of Sound Sources
Markus Abel, Karsten Ahnert, Steffen Bergweiler
Sound generation and -interaction is highly complex, nonlinear and self-organized. Already 150 years ago Lord Rayleigh raised the following problem: Two nearby organ pipes of diffe…
Compactons and Chaos in Strongly Nonlinear Lattices
Karsten Ahnert, Arkady Pikovsky
We study localized traveling waves and chaotic states in strongly nonlinear one-dimensional Hamiltonian lattices. We show that the solitary waves are super-exponentially localized,…
Numerical differentiation: local versus global methods
Karsten Ahnert, Markus Abel
In the context of the analysis of measured data, one is often faced with the task to differentiate data numerically. Typically, this occurs when measured data are concerned or data…
Additive Nonparametric Reconstruction of Dynamical Systems from Time Series
Markus Abel, Karsten Ahnert, Juergen Kurths +1
We present a nonparametric way to retrieve a system of differential equations in embedding space from a single time series. These equations can be treated with dynamical systems th…