Results 141 to 150 of about 482 (176)

Interpretable predictions of chaotic dynamical systems using dynamical system deep learning. [PDF]

Sci Rep
Wang M, Li J.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Unstable Solutions of Nonautonomous Linear Differential Equations

SIAM Review, 2008
The fact that the eigenvalues of the family of matrices $A(t)$ do not determine the stability of nonautonomous differential equations $x'=A(t)x$ is well known. This point is often illustrated using examples in which the matrices $A(t)$ have constant eigenvalues with negative real part, but the solutions of the corresponding differential equation grow ...
Krešimir Josic, Robert Rosenbaum
exaly   +2 more sources

A Sternberg Theorem for Nonautonomous Differential Equations

Journal of Dynamics and Differential Equations, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefan Siegmund
exaly   +2 more sources

Multiple Periodic Solutions of Nonautonomous Delay Differential Equations

International Journal of Bifurcation and Chaos, 2023
In this paper, we consider a nonautonomous high-order delay differential equation with [Formula: see text] lags. The [Formula: see text]-periodic orbits are obtained by using the variational method and a new [Formula: see text] index theory. This is a new type of nonautonomous delay differential equation compared with all existing ones.
Lin Li, Weigao Ge
openaire   +1 more source

A reduction principle for nonautonomous differential equations

Archiv Der Mathematik, 1982
exaly   +2 more sources

On the stability of nonautonomous functional differential equation

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author considers the asymptotic stability of functional-differential equations with delay of the form \[ \dot x= f(t,x),\tag{1} \] where \(f\) is a continuous mapping defined on an appropriate space. If \(x:[-h,\infty)\to \mathbb{R}^n\), \(h\geq 0\), is a continuous function, then \[ x_t(s):= x(t+ s)\quad\text{for }-h\leq s\leq 0.
openaire   +3 more sources

Dichotomy Spectrum for Nonautonomous Differential Equations

Journal of Dynamics and Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

REDUCIBILITY OF NONAUTONOMOUS LINEAR DIFFERENTIAL EQUATIONS

Journal of the London Mathematical Society, 2002
Consider the linear differential system \[ {dx\over dt}= A(t) x\tag{\(*\)} \] with \(x\in\mathbb{R}^n\) and \(A\in C(J,L(\mathbb{R}^n,\mathbb{R}^n))\), where \(J\) is some interval in \(\mathbb{R}\). Let \(X(t)\) be the fundamental matrix of \((*)\) with \(X(0)= I\).
openaire   +2 more sources

Non-Autonomous Differential Equations

2003
1. Introduction 2. Basic Methods 3. Cantor Spectrum for Quasi-Periodic Schrodinger Operators 4. Almost Automorphy in Semilinear Parabolic PDEs 5.
JOHNSON, RUSSELL ALLAN, F. Mantellini
openaire   +2 more sources

Linear Nonautonomous Systems of Differential Equations with a Quadratic Integral

Differential Equations, 2021
The author considers the linear nonautonomous system of differential equations \[\dot x=A(t)x,\quad x\in \mathbb{R}^n,\tag{1}\] admitting the quadratic integral \[F(x,t)=(B(t)x,x)/2\tag{2}\] where the bracket (,) stands for the inner product on \(\mathbb{R}^n\).
openaire   +1 more source