Results 21 to 30 of about 7,827 (246)

Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]

, 2009
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Abreu, ALEXANDRE N. CARVALHO, Bates, Caraballo, Cheban, Chepyzhov, Hale, JAMES C. ROBINSON, JOSÉ A. LANGA, Stuart   +9 more
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The Exponential-Time Complexity of Counting (Quantum) Graph Homomorphisms [PDF]

, 2019
Many graph parameters can be expressed as homomorphism counts to fixed target graphs; this includes the number of independent sets and the number of k-colorings for any fixed k.
A Göbel, A Göbel, A Schrijver, AA Bulatov, AA Bulatov, AA Bulatov, C Borgs, H Dell, J Faben, J Flum, J-Y Cai, J-Y Cai, J-Y Cai, Jacob Focke, LA Goldberg, M Freedman, ME Dyer, ME Dyer, ME Dyer, R Curticapean, R Impagliazzo, R Impagliazzo   +21 more
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Existence and uniqueness of almost periodic solutions for a class of nonlinear Duffing system with time-varying delays

Electronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper, we investigate the existence and uniqueness of almost periodic solutions for a class of nonlinear Duffing system with time-varying delays.
Yanli Xu
doaj   +1 more source

Exponential dichotomies of evolution operators in Banach spaces

, 2014
This paper considers three dichotomy concepts (exponential dichotomy, uniform exponential dichotomy and strong exponential dichotomy) in the general context of non-invertible evolution operators in Banach spaces.
B Sasu, B Sasu, DD Bainov, J Zhang, L Barreira, L Barreira, L Barreira, L Barreira, L Hatvani, LH Popescu, M Megan, M Megan, M Megan, Mihail Megan, N Lupa, Nguyen Minh Van, Nicolae Lupa, NT Huy, O Perron, P Preda, P Preda, P Preda, R Datko, R Nagel, RJ Sacker, SN Chow, T Caraballo   +26 more
core   +1 more source

On attractors, spectra and bifurcations of random dynamical systems [PDF]

, 2015
In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
core   +1 more source

Exponential Dichotomies for Almost Periodic Equations [PDF]

Proceedings of the American Mathematical Society, 1987
It is shown that if an almost periodic equation has an exponential dichotomy on a sufficiently long finite interval, then it has one on ( − ∞ , ∞ ) ( - \infty ,\infty ) .
openaire   +1 more source

Generalized nonuniform dichotomies and local stable manifolds

, 2013
We establish the existence of local stable manifolds for semiflows generated by nonlinear perturbations of nonautonomous ordinary linear differential equations in Banach spaces, assuming the existence of a general type of nonuniform dichotomy for the ...
AJG Bento, AJG Bento, António J. G. Bento, C Pugh, César M. Silva, D Ruelle, D Ruelle, L Barreira, L Barreira, O Perron, P Thieullen   +10 more
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A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY

Journal of Applied Analysis & Computation, 2015
Given the linear system \[ x'(t) = A(t)x(t) \tag{1} \] \((x(t)\) a \(n\)-vector, \(A(t)\) a continuous \(n \times n\) matrix) let \(X(t)\) be a fundamental matrix. The system has an \textit{exponential dichotomy} if there exist a projection \(P\) and two positive constants \(K, \alpha\) with \begin{align*} \|X(t)PX^{-1}(s)\| &\le K \exp(-\alpha(t - s))
Wang, Liugen, Xia, Yonghui, Zhao, Ninghong   +2 more
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On the structure of spectra of travelling waves

Electronic Journal of Qualitative Theory of Differential Equations, 2003
The linear stability of the travelling wave solutions of a general reaction-diffusion system is investigated. The spectrum of the corresponding second order differential operator $L$ is studied.
Péter Simon
doaj   +1 more source

A note on discrete maximal regularity for functional difference equations with infinite delay

Advances in Difference Equations, 2006
Using exponential dichotomies, we get maximal regularity for retarded functional difference equations. Applications on Volterra difference equations with infinite delay are shown.
Cuevas Claudio, vidal Claudio
doaj   +2 more sources