<abstract xmlns="http://www.w3.org/1999/xhtml"> In the present paper we study a remarcable particular case of Finslerian mechanical system, called Ingarden mechanical system. This is defined by a 4-uple ∑IFⁿ = (M, F2, N, Fe) where M is the configuration space, Fn = (M, F, (x, y)) = (M, α, (x, y) + β (x, y)) is an Ingarden space, N is the Lorentz nonlinear connection and <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/5942_auom_33_1.jpg"></inline-graphic> are the external forces.One associates to this system ∑IFⁿ a semispray S, or a dinamical system on the velocity space TM. We write the generalized Maxwell equations for the electromagnetic fields of ∑IFⁿ.</abstract>

In the present paper we study a remarcable particular case of Finslerian mechanical system, called Ingarden mechanical system. This is defined by a 4-uple ∑IFⁿ = (M, F2, N, Fe) where M is the configuration space, Fn = (M, F, (x, y)) = (M, α, (x, y) + β (x, y)) is an Ingarden space, N is the Lorentz nonlinear connection and  are the external forces.One associates to this system ∑IFⁿ a semispray S, or a dinamical system on the velocity space TM. We write the generalized Maxwell equations for the electromagnetic fields of ∑IFⁿ.

Ingarden mechanical systems with special external forces

“Vasile Alecsandri” University Department of Mathematics and Informatics 600115 Bacău,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Ingarden mechanical systems with special external forces"}

In the present paper we study a remarcable particular case of Finslerian mechanical system, called Ingarden mechanical system. This is defined by a 4-uple ∑IFⁿ...

Ingarden mechanical systems with special external forces

Published Online: Apr 22, 2017

Page range: 161 - 171

Received: Nov 01, 2013

Accepted: Mar 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0033

Keywords
Mechanical system, Ingarden space, Lorentz connection, Euler-Lagrange equations

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Ingarden mechanical systems with special external forces

Published Online: Apr 22, 2017

Page range: 161 - 171

Received: Nov 01, 2013

Accepted: Mar 01, 2014

DOI: https://doi.org/10.1515/auom-2015-0033

KeywordsMechanical system, Ingarden space, Lorentz connection, Euler-Lagrange equations

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Mechanical system, Ingarden space, Lorentz connection, Euler-Lagrange equations