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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.17841 |
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| _version_ | 1866916805596938240 |
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| author | Cheban, David Sultan, Andrei |
| author_facet | Cheban, David Sultan, Andrei |
| contents | The aim of this paper is studying the compact global attractors for non-autonomous lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+f(u_i)+f_{i}(t)\ (i\in \mathbb Z,\ λ>0)$. We prove their dissipativness, asymptotic compactness and then the existence of compact global attractors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17841 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global Attractors of Non-autonomous Lattice Dynamical Systems Cheban, David Sultan, Andrei Dynamical Systems The aim of this paper is studying the compact global attractors for non-autonomous lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+f(u_i)+f_{i}(t)\ (i\in \mathbb Z,\ λ>0)$. We prove their dissipativness, asymptotic compactness and then the existence of compact global attractors. |
| title | Global Attractors of Non-autonomous Lattice Dynamical Systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2506.17841 |