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19942023
most citedOn the Mechanism of Time--Delayed Feedback Control

316 citations · 1.1k across the 37 of their papers we have counts for

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9 papers · 1 filter

chao-dyn1999★ 34 cited

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…

chao-dyn1998★ 58 cited

Delayed feedback control of periodic orbits in autonomous systems

Wolfram Just, Dirk Reckwerth, Johannes Möckel +2

For controlling periodic orbits with delayed feedback methods the periodicity has to be known a priori. We propose a simple scheme, how to detect the period of orbits from properti…

chao-dyn1997★ 14 cited

Analytical Approach for Piecewise Linear Coupled Map Lattices

Wolfram Just

A simple construction is presented, which generalises piecewise linear one-dimensional Markov maps to an arbitrary number of dimensions. The corresponding coupled map lattice, know…

chao-dyn1997★ 39 cited

Stochastic Resonance in Chaotic Spin-Wave Dynamics

Ekkehard Reibold, Wolfram Just, Hartmut Benner

We report the first experimental observation of noise-free stochastic resonance by utilizing the intrinsic chaotic dynamics of the system. To this end we have investigated the effe…

chao-dyn1997★ 15 cited

On the Collective Motion in Globally Coupled Chaotic Systems

Wolfram Just

A mean-field formulation is used to investigate the bifurcation diagram for globally coupled tent maps by means of an analytical approach. It is shown that the period doubling sequ…

chao-dyn1996★ 316 cited

On the Mechanism of Time--Delayed Feedback Control

Wolfram Just, Thomas Bernard, Matthias Ostheimer +2

The Pyragas method for controlling chaos is investigated in detail from the experimental as well as theoretical point of view. We show by an analytical stability analysis that the…