Estimation of topological entropy via the direct lyapunov method

A.Y. Pogromski; Alexey Matveev

doi:10.1088/0951-7715/24/7/002

Estimation of topological entropy via the direct lyapunov method

A.Y. Pogromski, Alexey Matveev

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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.

Original language	English
Pages (from-to)	1937-1959
Number of pages	22
Journal	Nonlinearity
Volume	24
Issue number	7
DOIs	https://doi.org/10.1088/0951-7715/24/7/002
Publication status	Published - 2011

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title = "Estimation of topological entropy via the direct lyapunov method",

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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DO - 10.1088/0951-7715/24/7/002

M3 - Article

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VL - 24

SP - 1937

EP - 1959

JO - Nonlinearity

JF - Nonlinearity

IS - 7

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Estimation of topological entropy via the direct lyapunov method

Abstract

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