Symplectic geometry, a branch of differential geometry, has emerged as a powerful tool in mathematical physics and various areas of pure math-ematics. It deals with symplectic manifolds, which are ...

It is shown that the symplectic potentials which underlie the symplectic geometry of classical particles and the multisymplectic geometry of classical fields are obtained as projections of a ...

1 Department of Electronics and Communications Engineering, East West University, Dhaka, Bangladesh. 2 Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh. Symplectic geometry ...

The course gives an introduction to symplectic geometry. It covers different classes of symplectic manifolds, contact manifolds and interactions between them. The main focus will be on local ...

The course gives an introduction to symplectic geometry. It covers different classes of symplectic manifolds, contact manifolds and interactions between them. The main focus will be on local ...

The geometry of the “moment” map of the action of the diffeomorphism group of the circle on loop spaces is studied in detail. We also develop aspects of the general symplectic geometry of loop spaces ...

Abstract: This paper primarily introduces the applications of symplectic geometry theory in high-frequency approximations of electromagnetic fields, construction of high-precision numerical algorithms ...

Abstract: Fault diagnosis of rolling bearings under variable speed conditions is of vital importance and also quite challenging in industrial areas. Tacholess order tracking (TLOT) methods, which are ...