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The atmoshere represents a natural sonic composite exhibiting the full band-gaps and localized modes around inhomogeneities given by the wind-velocity jumps. The paper analyses a barometric model including inhomogeneities which are modelled as Somigliana dislocations. The motion of atmospheric air is characterised by anharmonic coupling of nonlinear baroclinic fields of waves, and it is possible to tend to chaos when subjected to severe acoustic pulses. The riddling bifurcation is depicted that explains the generation of the hyperchaotic attractors. The paper discusses a model of baroclinic atmospheric which exhibits the full band-gaps and localised modes around inhomogeneities given by the wind-velocity jumps. The inhomogeneities are modelled as Somigliana dislocations according to the Eshelby theory. The motion of atmosphere tends to chaos when it is subjected to acoustic pulses coming from point source and Gaussian beam of explosive character.
A hyperchaotic attractor with at least two positive Lyapunov exponents is depicted and the presence of disturbantions leads to riddling bifurcation that explains the generation of the hyperchaotic attractor. The transition between the chaos and hyperchaos is characterized by an infinite number of unstable periodic orbits which becomes unstable in the least two directions in the vecinity of a transition point.
By initiation of the unstable orbits with more than one unstable direction, the tongues anchored at these orbits undergo the instability with respect to all directions, exhibiting the riddling bifurcations. The main effect of the riddling bifurcation is the bubbling of the attractor, i.e. the orbits burst in all directions and the chaotic attractor grows becoming a hyperchaotic attractor.