32 citations · 61 across the 5 of their papers we have counts for
5 papers
Sustainability, collapse and oscillations of global climate, population and economy in a simple World-Earth model
Jan Nitzbon, Jobst Heitzig, Ulrich Parlitz
The Anthropocene is characterized by close interdependencies between the natural Earth system and the human society, posing novel challenges to model development. Here we present a…
Nonlinear system identification employing automatic differentiation
Jan Schumann-Bischoff, Stefan Luther, Ulrich Parlitz
An optimization based state and parameter estimation method is presented where the required Jacobian matrix of the cost function is computed via automatic differentiation. Automati…
Quantifying uncertainty in state and parameter estimation
Ulrich Parlitz, Jan Schumann-Bischoff, Stefan Luther
Observability of state variables and parameters of a dynamical system from an observed time series is analyzed and quantified by means of the Jacobian matrix of the delay coordinat…
Basin structure of optimization based state and parameter estimation
Jan Schumann-Bischoff, Ulrich Parlitz, Henry D. I. Abarbanel +4
Most data based state and parameter estimation methods require suitable initial values or guesses to achieve convergence to the desired solution, which typically is a global minimu…
A hybrid model for chaotic front dynamics: From semiconductors to water tanks
A. Amann, K. Peters, U. Parlitz +2
We present a general method for studying front propagation in nonlinear systems with a global constraint in the language of hybrid tank models. The method is illustrated in the cas…