A New Reliable Numerical Method for Computing Chaotic Solutions of Dynamical Systems: The Chen Attractor Case
Résumé
This paper describes a new reliable numerical method for computing chaotic solutions of dynamical
systems and, in special cases, is applied to Chen strange attractor. The numerical precision of
the computation is finely mastered.We introduce a modification of the method of power series for
the construction of approximate solutions of the Chen system together with forward/backward
control of the precision. As a test for the method, we obtained the region of convergence of
series and researched the behavior of the trajectories on this attractor. The results of a numerical
experiment are presented.
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