Article
Effective desynchronization by nonlinear delayed feedback
DOI:10.1103/PhysRevLett.94.164102
Source: OAI
-
Citations (0)
- Cited In (8)
-
Chapter: Time-Delayed Feedback Control: From Simple Models to Lasers and Neural Systems
[show abstract] [hide abstract]
ABSTRACT: Over the past decade control of unstable states has evolved into a central issue in applied nonlinear science [1]. This field has various aspects comprising stabilization of unstable periodic orbits embedded in a deterministic chaotic attractor, which is generally referred to as chaos control, stabilization of unstable fixed points (steady states), or control of the coherence and timescales of stochastic motion.03/2010: pages 85-150; -
Article: Deep Brain Stimulation may Reduce Tremor by Preferential Blockade of Slower Axons via Antidromic Activation
[show abstract] [hide abstract]
ABSTRACT: Deep brain stimulation (DBS) has been used to ameliorate essential and Parkinsonian tremor, however the detailed mechanism by which tremor reduction is achieved remains unclear. We hypothesize that DBS works by reducing time delays in the feedback paths of the motor control loops. In particular, we suggest that antidromic activation of axonal pathways induced by stimulation will preferentially block axons with longer propagation times, reducing time delays in neuronal motor circuits in a stabilising manner. We demonstrate the plausibility of this hypothesis using two simple computational models which account for a variety of experimental results, and allow us to makes a number of testable predictions.Proceedings of the IEEE Conference on Decision and Control 12/2011; -
Article: Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems
[show abstract] [hide abstract]
ABSTRACT: We study two delay-coupled FitzHugh-Nagumo systems, introducing a mismatch between the delay times, as the simplest representation of interacting neurons. We demonstrate that the presence of delays can cause periodic oscillations which coexist with a stable fixed point. Periodic solutions observed are of two types, which we refer to as a "long" and a "short" cycle, respectively.11/2009;
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed.
The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual
current impact factor.
Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence
agreement may be applicable.
Keywords
following Publisher URL
