Finding cycles in nonlinear autonomous discrete dynamical systems

Dmitriy Dmitrishin; Anna Khamitova; Alexander M. Stokolos; Mihai Tohaneanu

doi:10.1007/978-3-319-51593-9_8

Finding cycles in nonlinear autonomous discrete dynamical systems

Dmitriy Dmitrishin, Anna Khamitova, Alexander M. Stokolos, Mihai Tohaneanu

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

The goal of this paper is to provide an exposition of recent results of the authors concerning cycle localization and stabilization in nonlinear dynamical systems. Both the general theory and numerical applications to well-known dynamical systems are presented. This paper is a continuation of Dmitrishin et al. (Fejér polynomials and chaos. Springer proceedings in mathematics and statistics, vol 108, pp. 49–75, 2014).

Original language	English
Title of host publication	Association for Women in Mathematics Series
Pages	199-237
Number of pages	39
DOIs	https://doi.org/10.1007/978-3-319-51593-9_8
State	Published - 2017

Publication series

Name	Association for Women in Mathematics Series
Volume	5
ISSN (Print)	2364-5733
ISSN (Electronic)	2364-5741

Bibliographical note

Publisher Copyright:
© The Author(s) and the Association for Women in Mathematics 2017.

ASJC Scopus subject areas

General Mathematics
Gender Studies

Access to Document

10.1007/978-3-319-51593-9_8

Cite this

@inbook{aff350d8967b4d8aaee9a5de0762d4e9,

title = "Finding cycles in nonlinear autonomous discrete dynamical systems",

abstract = "The goal of this paper is to provide an exposition of recent results of the authors concerning cycle localization and stabilization in nonlinear dynamical systems. Both the general theory and numerical applications to well-known dynamical systems are presented. This paper is a continuation of Dmitrishin et al. (Fej{\'e}r polynomials and chaos. Springer proceedings in mathematics and statistics, vol 108, pp. 49–75, 2014).",

author = "Dmitriy Dmitrishin and Anna Khamitova and Stokolos, {Alexander M.} and Mihai Tohaneanu",

note = "Publisher Copyright: {\textcopyright} The Author(s) and the Association for Women in Mathematics 2017.",

year = "2017",

doi = "10.1007/978-3-319-51593-9_8",

language = "English",

series = "Association for Women in Mathematics Series",

pages = "199--237",

booktitle = "Association for Women in Mathematics Series",

}

TY - CHAP

T1 - Finding cycles in nonlinear autonomous discrete dynamical systems

AU - Dmitrishin, Dmitriy

AU - Khamitova, Anna

AU - Stokolos, Alexander M.

AU - Tohaneanu, Mihai

PY - 2017

Y1 - 2017

N2 - The goal of this paper is to provide an exposition of recent results of the authors concerning cycle localization and stabilization in nonlinear dynamical systems. Both the general theory and numerical applications to well-known dynamical systems are presented. This paper is a continuation of Dmitrishin et al. (Fejér polynomials and chaos. Springer proceedings in mathematics and statistics, vol 108, pp. 49–75, 2014).

AB - The goal of this paper is to provide an exposition of recent results of the authors concerning cycle localization and stabilization in nonlinear dynamical systems. Both the general theory and numerical applications to well-known dynamical systems are presented. This paper is a continuation of Dmitrishin et al. (Fejér polynomials and chaos. Springer proceedings in mathematics and statistics, vol 108, pp. 49–75, 2014).

UR - http://www.scopus.com/inward/record.url?scp=85071488529&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85071488529&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-51593-9_8

DO - 10.1007/978-3-319-51593-9_8

M3 - Chapter

AN - SCOPUS:85071488529

T3 - Association for Women in Mathematics Series

SP - 199

EP - 237

BT - Association for Women in Mathematics Series

ER -

Finding cycles in nonlinear autonomous discrete dynamical systems

Abstract

Publication series

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this