Approximation of Attractors of Nonautonomous Lattice Dynamical Systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909054320771072 |
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| author | Cheban, David Sultan, Andrei |
| author_facet | Cheban, David Sultan, Andrei |
| contents | The aim of this paper is to study the finite-dimensional approximations of the nonautonomous lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+F(u_i)+f_{i}(t)\ (i\in \mathbb Z)\ (*)$. We show that the finite-dimensional approximations for (*) are uniformly dissipative. The upper semi-continuous convergence of the attractors of the finite-dimensional approximations is established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18465 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Approximation of Attractors of Nonautonomous Lattice Dynamical Systems Cheban, David Sultan, Andrei Dynamical Systems 34D05, 34D45, 34G20, 37B55 The aim of this paper is to study the finite-dimensional approximations of the nonautonomous lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+F(u_i)+f_{i}(t)\ (i\in \mathbb Z)\ (*)$. We show that the finite-dimensional approximations for (*) are uniformly dissipative. The upper semi-continuous convergence of the attractors of the finite-dimensional approximations is established. |
| title | Approximation of Attractors of Nonautonomous Lattice Dynamical Systems |
| topic | Dynamical Systems 34D05, 34D45, 34G20, 37B55 |
| url | https://arxiv.org/abs/2605.18465 |