Small planar travelling waves in two-dimensional networks of coupled oscillators
DOI10.1080/14689360802541281zbMath1173.37059OpenAlexW2063494066MaRDI QIDQ5321909
Christian Werner Pfrang, Karsten Matthies
Publication date: 16 July 2009
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: http://opus.bath.ac.uk/15806/1/Matthies_DS%2DIJ_2009_24_2_157.pdf
travelling wavesnormal formslattice dynamicscentre manifold theoryinfinite-dimensional Hamiltonian dynamicsadvance-delay equation
Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Lattice dynamics; integrable lattice equations (37K60)
Related Items (1)
Cites Work
- Solitary waves for nonconvex FPU lattices
- The global structure of traveling waves in spatially discrete dynamical systems
- Existence theorem for solitary waves on lattices
- Solitary waves with prescribed speed on infinite lattices
- Travelling waves in a chain of coupled nonlinear oscillators
- Geometric solitary waves in a 2D mass-spring lattice
- Discrete breathers in two-dimensional anisotropic nonlinear Schrödinger lattices
- Travelling breathers with exponentially small tails in a chain of nonlinear oscillators
- Travelling waves in the Fermi-Pasta-Ulam lattice
- Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
- Wave Trains, Solitons and Modulation Theory in FPU Chains
- Travelling waves in Hamiltonian systems on 2D lattices with nearest neighbour interactions
- Discrete breathers in a two-dimensional Fermi–Pasta–Ulam lattice
This page was built for publication: Small planar travelling waves in two-dimensional networks of coupled oscillators
