Pinning and locking of discrete waves

DOI10.1016/S0375-9601(00)00097-9zbMath0946.37042OpenAlexW1977778809MaRDI QIDQ1569563

Claudia Wulff, Jeroen S. W. Lamb

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00097-9

zbMATH Keywords

continuous symmetriesdiscrete lattice symmetriesrotating and traveling waves

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Lattice dynamics; integrable lattice equations (37K60) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Geometric theory of semilinear parabolic equations
• Heteroclinic cycles and modulated travelling waves in a system with \(D_ 4\) symmetry
• Bifurcations and dynamics of spiral waves
• Propagating waves in discrete bistable reaction-diffusion systems
• Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts
• Dynamics of spiral waves on unbounded domains using center-manifold reductions
• Meandering of the spiral tip: an alternative approach
• Bifurcation from discrete rotating waves
• Complex dynamics in the Hopf bifurcation with broken translation symmetry
• Secondary bifurcations of Taylor vortices into wavy inflow or outflow boundaries
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Convection in a rotating spherical fluid shell with an inhomogeneous temperature boundary condition at infinite Prandtl number
• DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
• TRAVELLING WAVES WITH SPATIALLY RESONANT FORCING: BIFURCATIONS OF A MODIFIED LANDAU EQUATION
• Invariant manifolds

This page was built for publication: Pinning and locking of discrete waves