Results 101 to 110 of about 27,859 (206)
Pullback attractor analysis of a periodically forced QG model
The classical concept of attractor of an autonomous dissipative dynamical system can be generalized to the non-autonomous case by defining a time-dependent attractor in the pullback sense, the so-called pullback attractor (PBA).
PIERINI, Stefano
core
Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]
Pinsky T.
europepmc +1 more source
Dynamics of Fractional Delayed Reaction-Diffusion Equations. [PDF]
Liu L, Nieto JJ.
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NAVIER–STOKES EQUATIONS ON THE β-PLANE [PDF]
Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time
Al-Jaboori, Mustafa Ali Hussain +1 more
core
On the Dimension of Pullback Attractors in Recurrent Neural Networks
Recurrent neural networks trained via the reservoir computing paradigm have demonstrated remarkable success in learning and reconstructing attractors from chaotic systems, often replicating quantities such as Lyapunov exponents and fractal dimensions.
openaire +3 more sources
Stochastic Chaos and Markov Blankets. [PDF]
Friston K +4 more
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The existence of a pullback attractor is established for a stochastic p-Laplacian equation on $\mathbb{R}^n$. Furthermore, the limiting behavior of random attractors of the random dynamical systems as stochastic perturbations approach zero is studied ...
Jia Li, Yangrong Li, Hongyong Cui
doaj
High-Dimensional Phase Space Reconstruction with a Convolutional Neural Network for Structural Health Monitoring. [PDF]
Chen YL +6 more
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Pullback attractor for a damped semilinear wave equation
In this work, we present some of the theories of semigroups and global attractors. Also, we present process of evolution and pullback attractors. Finally, we show the existence and regularity of the pullback attractor for the problem $u_{tt} +\beta(t)u_t
Moreira, Estefani Moraes
core
A Lyapunov function for pullback attractors of nonautonomous differential equations
The contruction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by ...
Peter E. Kloeden
doaj

