Abstract Forced Symmetry Breaking and Forced Frequency Locking of Modulated Waves

Forced Symmetry Breaking from SO(3) to SO(2) for Rotating Waves on the Sphere

In this article, we consider a small SO(2)-equivariant perturbation of a reaction-diffusion system on the sphere, which is equivariant with respect to the group SO(3) of all rigid rotations. We consider a normally hyperbolic SO(3)-group orbit of a rotating wave on the sphere that persists to a normally hyperbolic SO(2)-invariant manifold M(ε). We investigate the effects of this forced symmetry ...

Forced Symmetry Breaking as a Mechanism for Bursting

A robust mechanism generating regular or irregular bursts of large dynamic range near threshold is described. The mechanism arises in the interaction between oscillatory modes of odd and even parity in systems of large but finite aspect ratio, and provides an explanation for the bursting behavior observed in binary fluid convection by Sullivan and Ahlers [Phys. Rev. A 38, 3143 (1988)]. [S0031-9...

Parametrically Forced Surface Waves

Pattern formation in two-frequency forced parametric waves.

We present an experimental investigation of superlattice patterns generated on the surface of a fluid via parametric forcing with two commensurate frequencies. The spatiotemporal behavior of four qualitatively different types of superlattice patterns is described in detail. These states are generated via a number of different three-wave resonant interactions. They occur either as symmetry-break...

Stationary Waves ( Orographic and Thermally Forced )

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