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An Approach for Stabilizing Abnormal Neural Activity in ADHD Using Chaotic Resonance [PDF]

open access: goldFrontiers in Computational Neuroscience, 2021
Reduced integrity of neural pathways from frontal to sensory cortices has been suggested as a potential neurobiological basis of attention-deficit hyperactivity disorder.
Sou Nobukawa   +7 more
doaj   +4 more sources

Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model [PDF]

open access: goldScientific Reports, 2017
Chaotic resonance (CR), in which a system responds to a weak signal through the effects of chaotic activities, is a known function of chaos in neural systems.
Sou Nobukawa   +2 more
doaj   +5 more sources

Recent Trends of Controlling Chaotic Resonance and Future Perspectives [PDF]

open access: goldFrontiers in Applied Mathematics and Statistics, 2021
Stochastic resonance is a phenomenon in which the effects of additive noise strengthen the signal response against weak input signals in non-linear systems with a specific barrier or threshold.
Sou Nobukawa   +8 more
doaj   +3 more sources

Analysis of Chaotic Resonance in Izhikevich Neuron Model. [PDF]

open access: yesPLoS ONE, 2015
In stochastic resonance (SR), the presence of noise helps a nonlinear system amplify a weak (sub-threshold) signal. Chaotic resonance (CR) is a phenomenon similar to SR but without stochastic noise, which has been observed in neural systems.
Sou Nobukawa   +3 more
doaj   +3 more sources

Local random vector model for semiclassical fractal structure of chaotic resonance states [PDF]

open access: hybridJournal of Physics A: Mathematical and Theoretical, 2021
The semiclassical structure of resonance states of classically chaotic scattering systems with partial escape is investigated. We introduce a local randomization on phase space for the baker map with escape, which separates the smallest multifractal ...
Konstantin Clauß, R. Ketzmerick
semanticscholar   +2 more sources

Controlling Chaotic Resonance using External Feedback Signals in Neural Systems. [PDF]

open access: yesSci Rep, 2019
Stochastic resonance is a phenomenon in which the signal response of a non-linear system is enhanced by appropriate external noise. Likewise, a similar phenomenon can be caused by deterministic chaos; this is called chaotic resonance. Devices that employ
Nobukawa S, Shibata N.
europepmc   +2 more sources

Gravity, parametric resonance, and chaotic inflation [PDF]

open access: greenPhysical Review D, 2000
16 pages, uses epsf to import postscript figures (minor changes - typos fixed, extra reference added and data analysis slightly expanded)
Richard Easther, Matthew Parry
openalex   +4 more sources

Leading Ruelle resonances of chaotic maps [PDF]

open access: greenPhysical Review E, 2000
The leading Ruelle resonances of typical chaotic maps, the perturbed cat map and the standard map, are calculated by variation. It is found that, excluding the resonance associated with the invariant density, the next subleading resonances are, approximately, the roots of the equation $z^4= $, where $ $ is a positive number which characterizes the ...
Galya Blum, Oded Agam
openalex   +5 more sources

Resonance Eigenfunction Hypothesis for Chaotic Systems. [PDF]

open access: yesPhysical Review Letters, 2018
A hypothesis about the average phase-space distribution of resonance eigenfunctions in chaotic systems with escape through an opening is proposed. Eigenfunctions with decay rate γ are described by a classical measure that (i) is conditionally invariant ...
Konstantin Clauß   +3 more
semanticscholar   +6 more sources

Semiclassical structure of chaotic resonance eigenfunctions. [PDF]

open access: yesPhysical Review Letters, 2006
We study the resonance (or Gamow) eigenstates of open chaotic systems in the semiclassical limit, distinguishing between left and right eigenstates of the nonunitary quantum propagator and also between short-lived and long-lived states.
J. P. Keating   +3 more
semanticscholar   +6 more sources

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