Negative solution of the Kalman problem and proof of the existence of a hidden strange attractor via a discontinuous approximation method


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Abstract

A discontinuous approximation method is described, which can be used to construct counterexamples to the Kalman conjecture.

About the authors

G. A. Leonov

Faculty of Mathematics and Mechanics; Institute of Problems of Mechanical Engineering

Author for correspondence.
Email: leonov@math.spbu.ru
Russian Federation, Peterhof, St. Petersburg, 198504; St. Petersburg, 199178

R. N. Mokaev

Faculty of Mathematics and Mechanics; Institute of Problems of Mechanical Engineering

Email: leonov@math.spbu.ru
Russian Federation, Peterhof, St. Petersburg, 198504; St. Petersburg, 199178

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