Estimation of topological entropy via the direct Lyapunov method

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Published 20 May 2011 • 2011 IOP Publishing Ltd & London Mathematical Society
, , Citation A Yu Pogromsky and A S Matveev 2011 Nonlinearity 24 1937 DOI 10.1088/0951-7715/24/7/002

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Author affiliations

1 Department of Mechanical Engineering, Technical University of Eindhoven, PO Box 513, 5600 MB Eindhoven, The Netherlands

2 Department of Mathematics and Mechanics, Saint Petersburg University, Universitetskii pr. 28, Petrodvoretz, 198504, Saint Petersburg, Russia

Dates

  1. Received 5 October 2010
  2. Published

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0951-7715/24/7/1937

Abstract

This paper deals with the problem of estimation of the topological entropy for non-autonomous systems of differential equations via the second (direct) Lyapunov method. The main result of the paper is illustrated by examples concerning the Lorenz system and Duffing oscillator.

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10.1088/0951-7715/24/7/002