Confirmation of persistent chaos in high dimensions
Zeraoulia Elhadj and J. C. Sprott
Communicated by Jose Luis Lopez-Bonilla
In this letter, we prove rigorously the persistence property of
chaos in high dimensions stated as a conjecture in . The idea
of the proof is based on a simple remark on the form of the
variation of bifurcation parameters. The relevance of this
result is that persistent chaos in high dimensions was observed
and tested numerically, but without any rigorous proof. Also,
this proof shows that persistent chaos still occurs in typical
nonlinear high-dimensional dynamical systems such as randomly
sampled high-dimensional vector fields (ODEs) or maps.
Ref: E. Zeraoulia and J. C.
, Palestine Journal of Mathematics 3
, 126-128 (2014)
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