75 citations · 258 across the 8 of their papers we have counts for
8 papers
A unifying definition of synchronization for dynamical systems
Reggie Brown, Ljupco Kocarev
We propose a unified definition for synchronization. By example we show that the synchronization phenomena discussed in the dynamical systems literature can be described within the…
The effect of noise on parameter estimation in systems with complicated dynamics
Justin Goodwin, Reggie Brown, Lutz Junge
Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model…
Constructing transportable behavioural models for nonlinear electronic devices
David M. Walker, R. Brown, N. B. Tufillaro
We use radial basis functions to model the input--output response of an electronic device. A new methodology for producing models that accuratly describe the response of the device…
Approximating the mapping between systems exhibiting generalized synchronization
Reggie Brown
We present methods for approximating the mapping that defines the invariant manifold for two systems exhibiting generalized synchronization. If the equations of motion are known th…
Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds
Reggie Brown, Nikolai F. Rulkov
We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization t…
Designing coupling that guarantees synchronization between identical chaotic systems
Reggie Brown, Nikolai F. Rulkov
We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronou…