Research ArticleNo Access

Mapping of non-autonomous dynamical systems to autonomous ones

Department of Physics, College of Science, Sultan Qaboos University, P. O. Box 36, Al-Khodh 123 Muscat, Sultanate of Oman

Tomsk State Pedagogical University, TSPU, Tomsk 634061, Russia

Center for Space Research, North-West University, Mafikeng, South Africa

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Phongpichit Channuie

College of Graduate Studies, Walailak University, Thasala, Nakhon Si Thammarat, 80160, Thailand

School of Science, Walailak University, Thasala, Nakhon Si Thammarat 80160, Thailand

Thailand Center of Excellence in Physics, Ministry of Education, Bangkok 10400, Thailand

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, and

Mudhahir Al Ajmi

http://orcid.org/0000-0001-9888-5318

Department of Physics, College of Science, Sultan Qaboos University, P. O. Box 36, Al-Khodh 123 Muscat, Sultanate of Oman

E-mail Address: mudhahir@squ.edu.com

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https://doi.org/10.1142/S0219887819500890Cited by:0 (Source: Crossref)

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:

AMSC: 37A10, 83F05, 14D21

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