Add to ORKGA global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived. The result bears on the basic constructions for interacting systems due to Sternberg and Weinstein and on Poisson brackets involving semi-direct products for fluid and plasma systems. The formula involves Lie-Poisson structures, canonical brackets, and curvature terms
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived....
The BBGKY hierarchy equations for the evolution of the i-point functions of a plasma with electrosta...
The BBGKY hierarchy equations for the evolution of the i-point functions of a plasma with electrosta...
Reduction is a process that uses symmetry to lower the order of a Hamiltonian system. The new variab...
Aspects of noncanonical Hamiltonian field theory are reviewed. Many systems are Hamiltonian in the s...
Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilt...
Aspects of noncanonical Hamiltonian field theory are reviewed. Many systems are Hamiltonian in the s...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
Motivated by Poisson structures for complex fluids containing cocycles, such as the Poisson structu...
With the heavy top and compressible flow as guiding examples, this paper discusses the Hamiltonian s...
With the heavy top and compressible flow as guiding examples, this paper discusses the Hamiltonian s...
The symplectic and Poisson structures on reduced phase spaces are reviewed, including the symplectic...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived....
The BBGKY hierarchy equations for the evolution of the i-point functions of a plasma with electrosta...
The BBGKY hierarchy equations for the evolution of the i-point functions of a plasma with electrosta...
Reduction is a process that uses symmetry to lower the order of a Hamiltonian system. The new variab...
Aspects of noncanonical Hamiltonian field theory are reviewed. Many systems are Hamiltonian in the s...
Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilt...
Aspects of noncanonical Hamiltonian field theory are reviewed. Many systems are Hamiltonian in the s...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
Motivated by Poisson structures for complex fluids containing cocycles, such as the Poisson structu...
With the heavy top and compressible flow as guiding examples, this paper discusses the Hamiltonian s...
With the heavy top and compressible flow as guiding examples, this paper discusses the Hamiltonian s...
The symplectic and Poisson structures on reduced phase spaces are reviewed, including the symplectic...
AbstractThis paper is a survey of Poisson geometry, with an emphasis on global questions and the the...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...
31 pages, 14 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/This...