Pfrang, C. and Matthies, K., 2009. Small planar travelling waves in two-dimensional networks of coupled oscillators. Dynamical Systems: An International Journal, 24 (2), pp. 157-170.
The existence of several small planar travelling waves with arbitrary direction of propagation is shown for two-dimensional cubic networks of oscillators with linear nearest-neighbour coupling. The analysis is based on a spatial dynamics reformulation of the relevant advance-delay equation. Whereas important aspects of the analysis are discontinuous in the direction of travel, and continuity of the travelling wave is shown with respect to the direction.
|Item Type ||Articles|
|Creators||Pfrang, C.and Matthies, K.|
|Uncontrolled Keywords||breathers, pasta-ulam lattice, nonlinear oscillators, normal forms, centre manifold theory, solitary waves, discrete, chain, travelling waves, advance-delay equation, lattice dynamics, infinite-dimensional hamiltonian dynamics, fpu lattices|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Matthies_DS-IJ_2009_24_2_157.pdf: This is an electronic version of an article published in Pfrang, C. and Matthies, K., 2009. Small planar travelling waves in two-dimensional networks of coupled oscillators. Dynamical Systems-an International Journal, 24 (2), pp. 157-170. Dynamical Systems-an International Journal is available online at http://dx.doi.org/10.1080/14689360802541281|
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