Results 31 to 40 of about 982,950 (336)
Construction of chaotic dynamical system
Mathematical Modelling and Analysis, 2010 The first‐order difference equation xn+ 1 = f(xn ), n = 0,1,…, where f: R → R, is referred as an one‐dimensional discrete dynamical system. If function f is a chaotic mapping, then we talk about chaotic dynamical system.
Inese Bula, Irita Rumbeniece
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Bilinear dynamical systems [PDF]
Philosophical Transactions of the Royal Society B: Biological Sciences, 2005 In this paper, we propose the use of bilinear dynamical systems (BDS)s for model-based deconvolution of fMRI time-series. The importance of this work lies in being able to deconvolve haemodynamic time-series, in an informed way, to disclose the underlying neuronal activity.
W, Penny, Z, Ghahramani, K, Friston
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Компьютерная оптика, 2020 A 6f-scheme of Fourier holography with resonant architecture is considered, which implements memory replenishment with new information that contradicts the previously recorded. It is shown that the low-frequency attenuation due to the nonlinearity of the
A.V. Pavlov
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Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy
Nonlinear Analysis, 2022 Oncolytic virotherapy is a therapy for the treatment of malignant tumours. In some undesirable cases, the injection of viral particles can lead to stationary oscillations, thus preventing the full destruction of the tumour mass.
Bruno Buonomo +2 more
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Dynamical versus diffraction spectrum for structures with finite local complexity [PDF]
, 2014 It is well-known that the dynamical spectrum of an ergodic measure dynamical system is related to the diffraction measure of a typical element of the system.
Aernout +3 more
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Dynamical Systems in Categories
Applied Categorical Structures, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mike Behrisch +4 more
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MathematicsSpectral methods form a cornerstone of linear dynamics, where evolution is resolved into harmonic modes governed by eigenvalues and spectral measures of normal operators.
Rui A. P. Perdigão
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Planar Bistable Structures Detection via the Conley Index and Applications to Biological Systems
Mathematics, 2023 Bistability is a ubiquitous phenomenon in life sciences. In this paper, two kinds of bistable structures in two-dimensional dynamical systems are studied: one is two one-point attractors, another is a one-point attractor accompanied by a cycle attractor.
Junbo Jia +5 more
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, 2013 We develop an adaptive control architecture to achieve stabilization and command following of uncertain dynamical systems with improved transient performance. Our framework consists of a new reference system and an adaptive controller.
De La Torre, Gerardo +2 more
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Dynamic system classifier [PDF]
Physical Review E, 2016 Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and classify complex dynamical systems is proposed within a Bayesian framework. To this end, we develop a dynamic system
Pumpe, D. +3 more
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