Fast Cycles Detecting in Non-Linear Discrete Systems

Dmitriy Dmitrishin; Elena Franzheva; Alexander M. Stokolos

Fast Cycles Detecting in Non-Linear Discrete Systems

Dmitriy Dmitrishin, Elena Franzheva, Alexander M. Stokolos

Mathematical Sciences

Odessa National Polytechnic University

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Abstract

In the paper below we consider a problem of stabilization of a priori unknown unstable periodic orbits in non-linear autonomous discrete dynamical systems. We suggest a generalization of a non-linear DFC scheme to improve the rate of detecting T-cycles. Some numerical simulations are presented.

Original language	American English
Journal	arXiv Repository
State	Published - Aug 26 2016

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Education
Mathematics

Keywords

Discrete Systems
Fast Cycles
Nonlinear

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Fast Cycles Detecting in Non-Linear Discrete SystemsFinal published version, 693 KBLicense: Unspecified

https://arxiv.org/abs/1608.07588

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title = "Fast Cycles Detecting in Non-Linear Discrete Systems",

abstract = " In the paper below we consider a problem of stabilization of a priori unknown unstable periodic orbits in non-linear autonomous discrete dynamical systems. We suggest a generalization of a non-linear DFC scheme to improve the rate of detecting T-cycles. Some numerical simulations are presented.",

keywords = "Discrete Systems, Fast Cycles, Nonlinear",

author = "Dmitriy Dmitrishin and Elena Franzheva and Stokolos, \{Alexander M.\}",

year = "2016",

month = aug,

day = "26",

language = "American English",

journal = "arXiv Repository",

}

TY - JOUR

T1 - Fast Cycles Detecting in Non-Linear Discrete Systems

AU - Dmitrishin, Dmitriy

AU - Franzheva, Elena

AU - Stokolos, Alexander M.

PY - 2016/8/26

Y1 - 2016/8/26

N2 - In the paper below we consider a problem of stabilization of a priori unknown unstable periodic orbits in non-linear autonomous discrete dynamical systems. We suggest a generalization of a non-linear DFC scheme to improve the rate of detecting T-cycles. Some numerical simulations are presented.

AB - In the paper below we consider a problem of stabilization of a priori unknown unstable periodic orbits in non-linear autonomous discrete dynamical systems. We suggest a generalization of a non-linear DFC scheme to improve the rate of detecting T-cycles. Some numerical simulations are presented.

KW - Discrete Systems

KW - Fast Cycles

KW - Nonlinear

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/666

M3 - Article

JO - arXiv Repository

JF - arXiv Repository

ER -

Fast Cycles Detecting in Non-Linear Discrete Systems

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