Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1998-01-08
Nonlinear Sciences
Chaotic Dynamics
21 pages, 5 figures, accepted for publication in Physica D (1997)
Scientific paper
10.1016/S0167-2789(97)00320-5
In this paper we examine the spatio-temporal dynamics of two nonlinearly coupled wave triplets sharing two common modes. Our basic findings are the following. When spatial dependence is absent, the homogeneous manifold so obtained can be chaotic or regular. If chaotic, it drives energy diffusion from long to small wavelengths as soon as inhomogeneous perturbations are added to the system. If regular, one may yet have two distinct cases: (i) energy diffusion is again present if the inhomogeneous modes are linearly unstable and triplets are effectively coupled; (ii) energy diffusion is absent if the inhomogeneous modes are linearly stable or the triplets are uncoupled.
Lopes Sergio Roberto
Rizzato Felipe B.
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