Small planar travelling waves in two-dimensional networks of coupled oscillators

Research output: Contribution to journalArticle

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Abstract

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.
LanguageEnglish
Pages157-170
Number of pages14
JournalDynamical Systems: An International Journal
Volume24
Issue number2
DOIs
StatusPublished - 2009

Fingerprint

Coupled Oscillators
Traveling Wave
Delay Equations
Reformulation
Nearest Neighbor
Propagation
Arbitrary

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

Cite this

Small planar travelling waves in two-dimensional networks of coupled oscillators. / Pfrang, C; Matthies, Karsten.

In: Dynamical Systems: An International Journal, Vol. 24, No. 2, 2009, p. 157-170.

Research output: Contribution to journalArticle

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