The purpose of CLASS is to simulate the evolution of linear perturbations in the universe and to compute CMB and large scale structure observables.
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One of the earliest results from chaos theory, for the non-linear perturbations of dynamical systems with a small number of degrees of freedom is the KAM theorem, which states that the invariant tori are stable under small perturbations.
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Most of this research involves the treatment of sufficiently small but nevertheless fully non-linear perturbations of certain special backgrounds and includes an analysis of higher as well as lower-dimensional spacetimes in addition to physical ( 3 + 1 )-dimensional spacetime.
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Simulations of this system ( or a simple linear perturbation analysis ) demonstrate that such systems are unstable : any motion away from the perfect geometric configuration causes an oscillation, eventually leading to the disruption of the system ( Klemperer's original article also states this fact ).
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