Mapping of non-Autonomous dynamical systems to autonomous ones

Davood Momeni; Phongpichit Channuie; Mudhahir Al Ajmi

doi:10.1142/S0219887819500890

Mapping of non-Autonomous dynamical systems to autonomous ones

Davood Momeni^*, Phongpichit Channuie, Mudhahir Al Ajmi

^*Corresponding author for this work

Physics

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

Abstract

Using a proper choice of the dynamical variables, we show that a non-Autonomous dynamical system transforming to an autonomous dynamical system with a certain coordinate transformations can be obtained by solving a general nonlinear first-order partial differential equations. We examine some special cases and provide particular physical examples. Our framework constitutes general machineries in investigating other non-Autonomous dynamical systems.

Original language	English
Article number	1950089
Journal	International Journal of Geometric Methods in Modern Physics
Volume	16
Issue number	6
DOIs	https://doi.org/10.1142/S0219887819500890
Publication status	Published - Jun 1 2019

Keywords

Autonomous
eigenfunctions
eigenvalues
non-Autonomous
time

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1142/S0219887819500890

Cite this

@article{be8e65fcf1044307ba59194676d5dc03,

title = "Mapping of non-Autonomous dynamical systems to autonomous ones",

abstract = "Using a proper choice of the dynamical variables, we show that a non-Autonomous dynamical system transforming to an autonomous dynamical system with a certain coordinate transformations can be obtained by solving a general nonlinear first-order partial differential equations. We examine some special cases and provide particular physical examples. Our framework constitutes general machineries in investigating other non-Autonomous dynamical systems.",

keywords = "Autonomous, eigenfunctions, eigenvalues, non-Autonomous, time",

author = "Davood Momeni and Phongpichit Channuie and Ajmi, {Mudhahir Al}",

note = "Funding Information: D. Momeni and M. Al Ajmi, would like to acknowledge the support of Sultan Qaboos University with Grant (IG/SCI/PHYS/19/02). P. Channuie is financially supported by Thailand Center of Excellence in Physics (ThEP) with Grant No. ThEP-61-PHY-NU1.",

year = "2019",

month = jun,

day = "1",

doi = "10.1142/S0219887819500890",

language = "English",

volume = "16",

journal = "International Journal of Geometric Methods in Modern Physics",

issn = "0219-8878",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "6",

}

TY - JOUR

T1 - Mapping of non-Autonomous dynamical systems to autonomous ones

AU - Momeni, Davood

AU - Channuie, Phongpichit

AU - Ajmi, Mudhahir Al

N1 - Funding Information: D. Momeni and M. Al Ajmi, would like to acknowledge the support of Sultan Qaboos University with Grant (IG/SCI/PHYS/19/02). P. Channuie is financially supported by Thailand Center of Excellence in Physics (ThEP) with Grant No. ThEP-61-PHY-NU1.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - Using a proper choice of the dynamical variables, we show that a non-Autonomous dynamical system transforming to an autonomous dynamical system with a certain coordinate transformations can be obtained by solving a general nonlinear first-order partial differential equations. We examine some special cases and provide particular physical examples. Our framework constitutes general machineries in investigating other non-Autonomous dynamical systems.

AB - Using a proper choice of the dynamical variables, we show that a non-Autonomous dynamical system transforming to an autonomous dynamical system with a certain coordinate transformations can be obtained by solving a general nonlinear first-order partial differential equations. We examine some special cases and provide particular physical examples. Our framework constitutes general machineries in investigating other non-Autonomous dynamical systems.

KW - Autonomous

KW - eigenfunctions

KW - eigenvalues

KW - non-Autonomous

KW - time

UR - http://www.scopus.com/inward/record.url?scp=85065487977&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065487977&partnerID=8YFLogxK

U2 - 10.1142/S0219887819500890

DO - 10.1142/S0219887819500890

M3 - Article

AN - SCOPUS:85065487977

SN - 0219-8878

VL - 16

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

IS - 6

M1 - 1950089

ER -

Mapping of non-Autonomous dynamical systems to autonomous ones

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this