Natural tangent dynamics with recurrent biorthonormalizations: A geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets

@inproceedings{Adrover2006NaturalTD,
  title={Natural tangent dynamics with recurrent biorthonormalizations: A geometric computational approach to dynamical systems exhibiting slow manifolds and periodic/chaotic limit sets},
  author={Alessandra Adrover and Francesco Creta and Massimiliano Giona and Mauro Valorani and Valerio Vitacolonna},
  year={2006}
}
Abstract This article develops a geometric method, referred to as Natural Tangent Dynamics with Recurrent Biorthonormalizations (NTDRB), that unifies into a single computational technique the analysis of dynamical systems possessing either a slow manifold (associated with an equilibrium point), or exhibiting nontrivial limit sets (limit cycles and chaotic attractors). For the first class of systems the main focus relies on the identification of the slow/fast timescales, while for the latter… CONTINUE READING

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