Results 11 to 20 of about 66,934 (267)

Hypercomplex Systems and Non-Gaussian Stochastic Solutions with Some Numerical Simulation of χ-Wick-Type (2 + 1)-D C-KdV Equations

open access: yesAxioms, 2022
In this article, we discuss the (2 + 1)-D coupled Korteweg–De Vries (KdV) equations whose coefficients are variables, and stochastic (2 + 1)-D C-KdV (C-KdV) equations with the χ-Wick-type product.
Mohammed Zakarya   +2 more
doaj   +1 more source

Bifurcation and Analytical Solutions of the Space-Fractional Stochastic Schrödinger Equation with White Noise

open access: yesFractal and Fractional, 2023
The qualitative theory for planar dynamical systems is used to study the bifurcation of the wave solutions for the space-fractional nonlinear Schrödinger equation with multiplicative white noise.
Muneerah Al Nuwairan
doaj   +1 more source

Interspike interval correlations in neuron models with adaptation and correlated noise.

open access: yesPLoS Computational Biology, 2021
The generation of neural action potentials (spikes) is random but nevertheless may result in a rich statistical structure of the spike sequence. In particular, contrary to the popular renewal assumption of theoreticians, the intervals between adjacent ...
Lukas Ramlow, Benjamin Lindner
doaj   +1 more source

ON QUANTUM THEORY IN TERMS OF WHITE NOISE [PDF]

open access: yesNagoya Mathematical Journal, 1977
It has often been pointed out that a much more manageable structure is obtained from quantum theory if the time parameter t is chosen imaginary instead of real. Under a replacement of t by i·t the Schrödinger equation turns into a generalized heat equation, time ordered correlation functions transform into the moments of a probability measure, etc ...
HIDA, T, Streit, Ludwig
openaire   +5 more sources

Operator theory: quantum white noise approach [PDF]

open access: yesQuantum Studies: Mathematics and Foundations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barhoumi, Abdessatar   +2 more
openaire   +1 more source

Generalized Mehler Semigroup on White Noise Functionals and White Noise Evolution Equations

open access: yesMathematics, 2020
In this paper, we study a representation of generalized Mehler semigroup in terms of Fourier–Gauss transforms on white noise functionals and then we have an explicit form of the infinitesimal generator of the generalized Mehler semigroup in terms of the ...
Un Cig Ji, Mi Ra Lee, Peng Cheng Ma
doaj   +1 more source

Outbreak-size distributions under fluctuating rates

open access: yesPhysical Review Research, 2023
We study the effect of noisy infection (contact) and recovery rates on the distribution of outbreak sizes in the stochastic susceptible-infected-recovered model.
Jason Hindes   +3 more
doaj   +1 more source

Scale-free dynamics in the core-periphery topography and task alignment decline from conscious to unconscious states

open access: yesCommunications Biology, 2023
Scale-free physiological processes are ubiquitous in the human organism. Resting-state functional MRI studies observed the loss of scale-free dynamics under anesthesia.
Philipp Klar   +4 more
doaj   +1 more source

A white noise approach to stochastic partial differential equations driven by the fractional Lévy noise

open access: yesAdvances in Difference Equations, 2018
In this paper, based on the white noise theory for d-parameter Lévy random fields given by (Holden et al. in Stochastic Partial Differential Equations: A modeling, white noise functional approach, 2010), we develop a white noise frame for anisotropic ...
Xuebin Lü, Wanyang Dai
doaj   +1 more source

White noise speech illusion and psychosis expression: An experimental investigation of psychosis liability. [PDF]

open access: yesPLoS ONE, 2017
BACKGROUND:An association between white noise speech illusion and psychotic symptoms has been reported in patients and their relatives. This supports the theory that bottom-up and top-down perceptual processes are involved in the mechanisms underlying ...
Lotta-Katrin Pries   +14 more
doaj   +1 more source

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