Existence of Heteroclinic Traveling Waves in a System of Oscillators on a Two-Dimensional Lattice
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Publication:2808438
DOI10.1007/s10958-016-2966-zzbMath1349.34114OpenAlexW2470187115MaRDI QIDQ2808438
Publication date: 23 May 2016
Published in: Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-016-2966-z
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Ordinary lattice differential equations (34A33)
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Cites Work
- Traveling waves in systems of oscillators on 2D-lattices
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Periodic travelling waves in chains of oscillators
- Breathers in nonlinear lattices: existence, linear stability and quantization
- Periodic traveling waves in chains of oscillators
- Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction
- Travelling waves in a chain of coupled nonlinear oscillators
- Geometric solitary waves in a 2D mass-spring lattice
- Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions
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