Signal prediction by anticipatory relaxation dynamics

Voss, Henning U.

doi:10.1103/physreve.93.030201

Cited by 33 publications

(29 citation statements)

References 53 publications

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“…In the end, it is just the smoothness of the signals that enables prediction, independent of the underlying specific dynamics, which even can be of smoothed stochastic origin. This has been termed "anticipatory relaxation dynamics" [14]. Therefore, in order to corroborate our hypothesis that NGD and in particular delay-induced NGD plays a role in human motor control, we propose a delayed manual tracking experiment that uses smooth random [14] or otherwise unpredictable [7] signals whose dynamics cannot be learned by subjects.…”

Section: General Model Implicationsmentioning

confidence: 79%

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A negative group delay model for feedback-delayed manual tracking performance

Voss

Stepp

2016

J Comput Neurosci

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We propose that feedback-delayed manual tracking performance is limited by fundamental constraints imposed by the physics of negative group delay. To test this hypothesis, the results of an experiment in which subjects demonstrate both reactive and predictive dynamics are modeled by a linear system with delay-induced negative group delay. Although one of the simplest real-time predictors conceivable, this model explains key components of experimental observations. Most notably, it explains the observation that prediction time linearly increases with feedback delay, up to a certain point when tracking performance deteriorates. It also explains the transition from reactive to predictive behavior with increasing feedback delay. The model contains only one free parameter, the feedback gain, which has been fixed by comparison with one set of experimental observations for the reactive case. Our model provides quantitative predictions that can be tested in further experiments.

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Section: General Model Implicationsmentioning

confidence: 79%

“…Our model is a linear relaxation system with external input and a linear time-delayed feedback [14], i.e.,…”

Section: Model Descriptionmentioning

confidence: 99%

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A negative group delay model for feedback-delayed manual tracking performance

Voss

Stepp

2016

J Comput Neurosci

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“…where f ( S ) is a vector function that describes the autonomous dynamical system, K is the coupling matrix and the delayed term R ( t − t d ) is the self-feedback (Voss, 2000). The solution R ( t ) = S ( t + t d ) characterizes the regime of anticipated synchronization and has been verified in a variety of theoretical (Voss, 2000, 2001a,b, 2016, 2018; Masoller and Zanette, 2001; Hernández-García et al, 2002; Ciszak et al, 2003; Kostur et al, 2005; Sausedo-Solorio and Pisarchik, 2014) and experimental (Sivaprakasam et al, 2001; Tang and Liu, 2003; Ciszak et al, 2009; Stepp and Turvey, 2017) studies.…”

Section: Introductionmentioning

confidence: 79%

Exploring the Phase-Locking Mechanisms Yielding Delayed and Anticipated Synchronization in Neuronal Circuits

Porta

Matias

Santos

et al. 2019

Front. Syst. Neurosci.

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Synchronization is one of the brain mechanisms allowing the coordination of neuronal activity required in many cognitive tasks. Anticipated Synchronization (AS) is a specific type of out-of-phase synchronization that occurs when two systems are unidirectionally coupled and, consequently, the information is transmitted from the sender to the receiver, but the receiver leads the sender in time. It has been shown that the primate cortex could operate in a regime of AS as part of normal neurocognitive function. However it is still unclear what is the mechanism that gives rise to anticipated synchronization in neuronal motifs. Here, we investigate the synchronization properties of cortical motifs on multiple scales and show that the internal dynamics of the receiver, which is related to its free running frequency in the uncoupled situation, is the main ingredient for AS to occur. For biologically plausible parameters, including excitation/inhibition balance, we found that the phase difference between the sender and the receiver decreases when the free running frequency of the receiver increases. As a consequence, the system switches from the usual delayed synchronization (DS) regime to an AS regime. We show that at three different scales, neuronal microcircuits, spiking neuronal populations and neural mass models, both the inhibitory loop and the external current acting on the receiver mediate the DS-AS transition for the sender-receiver configuration by changing the free running frequency of the receiver. Therefore, we propose that a faster internal dynamics of the receiver system is the main mechanism underlying anticipated synchronization in brain circuits.

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“…Furthermore, the NGD effect was observed with audio signals in low-frequency circuits [26] and within a photonic crystal structure [27]. It stands to reason that the utilisation of NGD in applications has limits, for example due to instabilities and long transients in linear systems [28,29] and inherent losses in passive circuits [30][31][32]. To overcome the latter effect, active circuit topologies based on the use of RF transistors have been developed recently [33].…”

Section: Introductionmentioning

confidence: 99%

Theory on negative time‐delay looped system

Ravelo

2017

IET Circuits, Devices & Systems

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An innovative theory on the looped system generating negative time delay is presented. Both the direct and delayed feedback loop topologies of this system essentially consist of an independent-frequency gain and time-delay block. It is shown theoretically that for suitable parameters the system can generate a negative time delay by virtue of a negative group delay (NGD). Analytical expressions reveal that the system presents an unconditional low-pass NGD behaviour. The NGD properties as a function of the system parameters are derived. To demonstrate the feasibility of the developed NGD system concept, frequency-and time-domain analyses are performed with Matlab, resulting in a very good agreement between the simulations and theory. Furthermore, as illustrated by computational results, negative time-delay signal propagation (signal advance) is obtained. The proposed NGD system can potentially be useful for time-delay compensation in engineering systems.

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Signal prediction by anticipatory relaxation dynamics

Cited by 33 publications

References 53 publications

A negative group delay model for feedback-delayed manual tracking performance

A negative group delay model for feedback-delayed manual tracking performance

Exploring the Phase-Locking Mechanisms Yielding Delayed and Anticipated Synchronization in Neuronal Circuits

Theory on negative time‐delay looped system

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