Entire solutions for bistable lattice differential equations with obstacles
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Publication:4645790
DOI10.1090/memo/1188zbMath1406.34003arXiv1310.4978OpenAlexW2962775937MaRDI QIDQ4645790
Aaron Hoffman, Hermen Jan Hupkes, Erik S. Van Vleck
Publication date: 11 January 2019
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4978
Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Ordinary lattice differential equations (34A33) Traveling wave solutions (35C07) Entire solutions to PDEs (35B08)
Related Items (16)
Curvature-driven front propagation through planar lattices in oblique directions ⋮ Multi-dimensional stability of waves travelling through rectangular lattices in rational directions ⋮ Travelling waves for complete discretizations of reaction diffusion systems ⋮ Language competition on lattices ⋮ Pulsating fronts of spatially periodic bistable reaction-diffusion equations around an obstacle ⋮ Propagation phenomena for nonlocal dispersal equations in exterior domains ⋮ Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on \(\mathbb{R}^n\) ⋮ Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise ⋮ Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equations ⋮ Dynamics of curved travelling fronts for the discrete Allen-Cahn equation on a two-dimensional lattice ⋮ Stability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative Noise ⋮ Travelling corners for spatially discrete reaction-diffusion systems ⋮ On qualitative analysis of lattice dynamical system of two- and three-dimensional biopixels array: bifurcations and transition to ``chaos ⋮ Transition waves for lattice Fisher-KPP equations with time and space dependence ⋮ Transition fronts of Fisher-KPP equations in locally spatially inhomogeneous patchy environments ⋮ On qualitative research of lattice dynamical system of two- and three-dimensional biopixels array
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