A difference characteristic for one-dimensional deterministic systems

A. Yu Shahverdian; A. V. Apkarian

doi:10.1016/j.cnsns.2005.02.004

A difference characteristic for one-dimensional deterministic systems

A. Yu Shahverdian^*, A. V. Apkarian

^*Corresponding author for this work

Neuroscience

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A numerical characteristic for one-dimensional deterministic systems reflecting its higher order difference structure is introduced. The comparison with Lyapunov exponent is given. A difference analogy for Eggleston theorem as well as an estimate for Hausdorff dimension of the difference attractor, formulated in terms of the new characteristic is proved.

Original language	English (US)
Pages (from-to)	233-242
Number of pages	10
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	12
Issue number	3
DOIs	https://doi.org/10.1016/j.cnsns.2005.02.004
State	Published - Jun 2007

Keywords

Dynamical systems
Hausdorff dimension
Lyapunov exponent

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Applied Mathematics

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10.1016/j.cnsns.2005.02.004

Cite this

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title = "A difference characteristic for one-dimensional deterministic systems",

abstract = "A numerical characteristic for one-dimensional deterministic systems reflecting its higher order difference structure is introduced. The comparison with Lyapunov exponent is given. A difference analogy for Eggleston theorem as well as an estimate for Hausdorff dimension of the difference attractor, formulated in terms of the new characteristic is proved.",

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AU - Apkarian, A. V.

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AB - A numerical characteristic for one-dimensional deterministic systems reflecting its higher order difference structure is introduced. The comparison with Lyapunov exponent is given. A difference analogy for Eggleston theorem as well as an estimate for Hausdorff dimension of the difference attractor, formulated in terms of the new characteristic is proved.

KW - Dynamical systems

KW - Hausdorff dimension

KW - Lyapunov exponent

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M3 - Article

AN - SCOPUS:33750524088

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 3

ER -

A difference characteristic for one-dimensional deterministic systems

Abstract

Keywords

ASJC Scopus subject areas

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