205 citations · 495 across the 7 of their papers we have counts for
7 papers
Synchronisation of time--delay systems
Martin J. Bünner, Wolfram Just
We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which doe…
Identification and characterization of systems with delayed feedback: (I) Theory and tools
Martin J. Bünner, Marco Ciofini, Antonino Giaquinta +4
High-dimensional chaos displayed by multi-component systems with a single time-delayed feedback is shown to be accessible to time series analysis of a scalar variable only. The map…
Identifying and modelling delay feedback systems
Rainer Hegger, Martin J. Bünner, Holger Kantz +1
Systems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space re…
The identification of continuous, spatiotemporal systems
H. Voss, M. J. Bünner, M. Abel
We present a method for the identification of continuous, spatiotemporal dynamics from experimental data. We use a model in the form of a partial differential equation and formulat…
Recovery of the Time-Evolution Equation of Time-Delay Systems from Time Series
M. J. Bünner, Th. Meyer, A. Kittel +1
We present a method for time series analysis of both, scalar and nonscalar time-delay systems. If the dynamics of the system investigated is governed by a time-delay induced instab…
Hyperchaos in the generalized R"ossler system
Th. Meyer, M. J. Bünner, A. Kittel +1
Introduced as a model for hyperchaos, the generalized R"ossler system of dimension N is obtained by linearly coupling N-3 additional degrees of freedom to the original R"ossler equ…