01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
7.12.1949
E-mail:
Keywords:
dynamical systems; homoclinical points; shadowing; existence of chaotic regims; computer simulation of dynamical systems; symbolic dynamics.
Main publications:
Ampilova N. B. Computer assisted study for one discrete dynamical system // Proceedings of 4 Int. Conf. CALISCE 98, June 15–17, 1998, Geteborg, Sweden, p. 454–458.
N. B. Ampilova. Construction of invariant manifolds of saddle periodic orbit for some plane endomorphism // Nonlinear Analysis. 2001, v. 47, p. 5897–5907.
N. B. Ampilova, I. P. Soloviev, Yu. V. Shupletsov, “On fractal, statistical and morphological methods of digital image analysis in medical research”, St. Petersburg Polytechnical University Journal. Computer Science. Telecommunication and Control Sys, 2014, no. 1(188), 51–61
1990
2.
N. B. Ampilova, S. Yu. Pilyugin, “A lower bound on the Hausdorff dimension of homoclinic structures on the plane”, Differ. Uravn., 26:11 (1990), 1999–2000
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