From Chaos to Order Through Mixing

Dmitriy Dmitrishin; I. M. Skrinnik; Alexander M. Stokolos

From Chaos to Order Through Mixing

Dmitriy Dmitrishin, I. M. Skrinnik, Alexander M. Stokolos

Mathematical Sciences

Odessa National Polytechnic University

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Abstract

In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach allows us to locally stabilize a priori unknown cycles of a given length. As a special case, we have a cycle stabilization using nonlinear feedback. Several examples are considered.

Original language	American English
Journal	arXiv Repository
State	Published - Aug 21 2016

Disciplines

Education
Mathematics

Keywords

Chaos
Mixing

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From Chaos to Order Through MixingFinal published version, 977 KBLicense: Unspecified

https://arxiv.org/abs/1607.05493

Cite this

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title = "From Chaos to Order Through Mixing",

abstract = " In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach allows us to locally stabilize a priori unknown cycles of a given length. As a special case, we have a cycle stabilization using nonlinear feedback. Several examples are considered.",

keywords = "Chaos, Mixing",

author = "Dmitriy Dmitrishin and Skrinnik, {I. M.} and Stokolos, {Alexander M.}",

year = "2016",

month = aug,

day = "21",

language = "American English",

journal = "arXiv Repository",

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TY - JOUR

T1 - From Chaos to Order Through Mixing

AU - Dmitrishin, Dmitriy

AU - Skrinnik, I. M.

AU - Stokolos, Alexander M.

PY - 2016/8/21

Y1 - 2016/8/21

N2 - In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach allows us to locally stabilize a priori unknown cycles of a given length. As a special case, we have a cycle stabilization using nonlinear feedback. Several examples are considered.

AB - In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach allows us to locally stabilize a priori unknown cycles of a given length. As a special case, we have a cycle stabilization using nonlinear feedback. Several examples are considered.

KW - Chaos

KW - Mixing

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/665

M3 - Article

JO - arXiv Repository

JF - arXiv Repository

ER -

From Chaos to Order Through Mixing

Abstract

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