Results 81 to 90 of about 2,019 (179)
Kripke on Gödel Incompleteness
Theoria, Volume 92, Issue 3, June 2026.ABSTRACT This paper surveys six of Saul Kripke's highly creative ideas and results on Gödel incompleteness, from when he was an undergraduate to last publications. These include his extension of incompleteness from sentences to predicates, his model‐theoretic proof of incompleteness of arithmetic, his compelling analysis of incompleteness in terms of ...
Daniel Isaacson
wiley +1 more source
Turing instability mechanism of short-memory formation in multilayer FitzHugh-Nagumo network. [PDF]
Front Psychiatry, 2023 Wang J, Shen J.
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Turing pattern dynamics in a fractional-diffusion oregonator model under PD control
Nonlinear AnalysisIn this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li +4 more
doaj +1 more source
Turing instability in an economic-demographic dynamical system may lead to pattern formation on a geographical scale. [PDF]
J R Soc Interface, 2021 Zincenko A +3 more
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Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
Discrete Dynamics in Nature and Society, 2018 State feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical
Li Xu +3 more
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Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability. [PDF]
NPJ Syst Biol Appl, 2021 Borgqvist J +5 more
europepmc +1 more source
Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator
Discrete Dynamics in Nature and Society, 2013 The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained.
Xiaoqin Wang, Yongli Cai, Huihai Ma
doaj +1 more source
Turing instabilities for three interacting species
Applied Mathematics LettersIn this paper, I prove necessary and sufficient conditions for the existence of Turing instabilities in a general system with three interacting species. Turing instabilities describe situations when a stable steady state of a reaction system (ordinary differential equation) becomes an unstable homogeneous steady state of the corresponding reaction ...
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Discrete Dynamics in Nature and Society, 2013 The spatiotemporal dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition are investigated analytically and numerically.
Bo Yang
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Effect of clustering on Turing instability in complex networks
Chaos: An Interdisciplinary Journal of Nonlinear ScienceTuring instability in complex networks is known to be dependent on the degree distribution, and the necessary conditions for Turing instability have been shown in the literature to have an explicit dependence on the eigenvalues of the Laplacian matrix, which, in turn, depends on the network topology.
Samana Pranesh +2 more
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