In our new Publisher’s Pick article researchers Andrew Bruce, Katarzyna Grabowska and Janusz Grabowski from the Polish Academy of Sciences and University of Warsaw present their latest work on developing new geometrical tools for dealing with higher order Langrangians.
Building upon their recent work on the concept of graded bundles the researchers have developed a geometric approach to higher order mechanics in the Langrangian and Hamiltonian formalism via weighed algebroids, as well as considering the corresponding Tulczyjew triple.
Read the full interview for the story behind the research and see what they plan to do next.
Follow the links below for related work from these authors’
Variational calculus with constraints on general algebroids – K. Grabowska and J. Grabowski
A Tulczyjew triple for classical fields – K. Grabowska
Superposition rules for higher order systems and their applications – J. F. Cariñena, J. Grabowski and J. de Lucas
This work is licensed under a Creative Commons Attribution 3.0 Unported License. Image provided by authors: Andrew Bruce, Katarzyna Grabowska and Janusz Grabowski