Results 161 to 170 of about 15,100 (198)
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Nonautonomous Linear Hamiltonian Systems
2016In this chapter, the framework of analysis of the book is described, and the many foundational facts required for this analysis are stated. The first two sections present fundamental notions and properties of topological dynamics and ergodic theory, as well as basic results concerning spaces of matrices, the Grassmannian and Lagrangian manifolds, and ...
Russell Johnson +4 more
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Nonautonomous Dynamical Systems
2010An understanding of the asymptotic behavior of dynamical systems is probably one of the most relevant problems in sciences based on mathematical modeling. In our framework, these dynamical systems are discrete beforehand, or have to be discretized in order to simulate them numerically.
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Subharmonics for convex nonautonomous hamiltonian systems
Communications on Pure and Applied Mathematics, 1987Denote by J the standard symplectic matrix in \({\mathbb{R}}^{2n}\) and let \(H\in C^ 2({\mathbb{R}}\times {\mathbb{R}}^{2n}, {\mathbb{R}})\) be T-periodic in the first variable. In this paper we investigate the existence of kT-periodic solutions of the time dependent Hamiltonian system \[ (HS)_ k\quad - J\dot x=H'(t,x),\quad x(0)=x(kT), \] where \(k ...
Ekeland, I., Hofer, H.
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Nonautonomous Differential Systems in Two Dimensions
2008This contribution is divided into three parts: in the first one, we study minimal subsets of the projective flow defined by a two-dimensional dynamical system. In the second part, we discuss some recent developments in the spectral theory and inverse spectral theory of the classical Sturm–Liouville operator.
FABBRI, ROBERTA +2 more
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PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS
Stochastics and Dynamics, 2003A nonautonomous semidynamical system is a skew-product semi-flow consisting of a cocycle mapping on a state space which is driven by a semidynamical system on a base space. It is shown that the driving system can be extended backwards in time on a compact invariant set, such as a global attractor, as a set-valued semidynamical system.
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Hartman’s linearization on nonautonomous unbounded system
Nonlinear Analysis: Theory, Methods & Applications, 2007Assume that the linear system \[ x'=A(t)x\tag{1} \] is uniformly asymptotically stable. The author shows that if a nonlinearity \(f(t,x)\) has a small Lipschitz constant, then there exists a function \(h(t,x)\) such that \(h(t,\cdot)\) is a homeomorphism for any fixed \(t\), and \(h(x(t),t)\) is a solution of (1) if and only if \(x(t)\) is a solution ...
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Integrable nonautonomous KDV systems
2020öz ENTEGRE EDİLEBİLİR OTONOM OLMAYAN KDV SİSTEMLER Turhan, Refik Doktora, Fizik Bölümü Tez Yöneticisi: Assoc. Prof. Dr. Atalay Karasu Ağustos 2002, 50 sayfa Çok bileşenli otonom olmayan (1+1) boyuttaki Korteweg-de Vries (KdV) tipi sistemlerin belirli bir genel formda simetri adım operatörünün varlığı üzerinden entegre edilebilirlik tasnifi yapıldı ...
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Discrete-Time Nonautonomous Dynamical Systems
2012These notes present and discuss various aspects of the recent theory for time-dependent difference equations giving rise to nonautonomous dynamical systems on general metric spaces:First, basic concepts of autonomous difference equations and discrete-time (semi-) dynamical systems are reviewed for later contrast in the nonautonomous case.
P. E. Kloeden +2 more
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Brain and other central nervous system tumor statistics, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
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