Results 31 to 40 of about 1,884 (116)
The Computational Theory of Intelligence: Data Aggregation
, 2014 In this paper, we will expound upon the concepts proffered in [1], where we proposed an information theoretic approach to intelligence in the computational sense. We will examine data and meme aggregation, and study the effect of limited resources on the
Kovach, Daniel
core +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi +3 more
wiley +1 more source
An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we study the optimal feedback control framework for a class of nonautonomous evolution equations involving integrodifferential operators. By leveraging the Cesari property and Filippov’s selection theorem, we first prove the existence of admissible control‐state pairs under relaxed regularity assumptions.
Longxu Li +2 more
wiley +1 more source
Limiting Differential Inclusions and the Method of Lyapunov’s Functions
Известия Иркутского государственного университета: Серия "Математика", 2015 In article the method of research of asymptotic behaviour for solutions of the nonautonomous systems submitted in the form of differential inclusions develops.
I.A. Finogenko
doaj
Stability of fronts in the diffusive Rosenzweig–MacArthur model
Studies in Applied Mathematics, Volume 153, Issue 4, November 2024.Abstract We consider a diffusive Rosenzweig–MacArthur predator–prey model in the situation when the prey diffuses at a rate much smaller than that of the predator. In a certain parameter regime, the existence of fronts in the system is known: the underlying dynamical system in a singular limit is reduced to a scalar Fisher–KPP (Kolmogorov–Petrovski ...
Anna Ghazaryan +3 more
wiley +1 more source
Complex Ginzburg–Landau equation for time‐varying anisotropic media
Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.Abstract When extending the complex Ginzburg–Landau equation (CGLE) to more than one spatial dimension, there is an underlying question of whether one is capturing all the interesting physics inherent in these higher dimensions. Although spatial anisotropy is far less studied than its isotropic counterpart, anisotropy is fundamental in applications to ...
Robert A. Van Gorder
wiley +1 more source
Entropy of physical measures for $C^\infty$ smooth systems
, 2019 For a $C^\infty$ map on a compact manifold we prove that for a Lebesgue randomly picked point x there is an empirical measure from $x$ with entropy larger than or equal to the sum of positive Lyapunov exponents at $x$.Comment: Appendix B ...
Burguet, David
core +1 more source
Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. We first employ the nonuniform kinematic similarity to prove the nonuniform dichotomy spectrum theorem, which is not based on linear integral manifolds in most of the previous works.
Ning Song, Richard I. Avery
wiley +1 more source
Asymptotic behaviour of random tridiagonal Markov chains in biological applications
, 2012 Discrete-time discrete-state random Markov chains with a tridiagonal generator are shown to have a random attractor consisting of singleton subsets, essentially a random path, in the simplex of probability vectors.
A. E. Hutzenthaler +21 more
core +1 more source