Physical Review Letters · 1979 · 281 citations · 15 references
Natural SciencesPhysicsCondensed Matter PhysicsDynamical SystemsSolid State PhysicsBifurcation TheoryChaos TheoryNonlinear DynamicsTurbulenceAttractor DynamicsBroadband NoiseChaotic AttractorsChaotic DynamicsCharge-density WavesNoise Spectral DensitySpectral DensitySuperionic Conductors
It is shown that the nonlinear dynamics of anharmonically interacting particles in the presence of periodic fields leads to a set of cascading bifurcations into a chaotic state. This state is characterized by the existence of a strange attractor in phase space and associated broadband noise in the spectral density. It is suggested that solid-state turbulence is likely to be found in weakly pinned charge-density-wave systems and superionic conductors.
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Dynamical Theory of Crystal Lattices
Max Born, Kun Huang, M. Lax · American Journal of Physics · 1955 · 10.6K citations
Simple mathematical models with very complicated dynamics
Robert M. May · Nature · 1976 · 6.9K citations