2024
DOI: 10.1007/s44198-024-00225-w
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Cosymplectic Geometry, Reductions, and Energy-Momentum Methods with Applications

J. de Lucas,
A. Maskalaniec,
B. M. Zawora

Abstract: Classical energy-momentum methods study the existence and stability properties of solutions of t-dependent Hamilton equations on symplectic manifolds whose evolution is given by their Hamiltonian Lie symmetries. The points of such solutions are called relative equilibrium points. This work devises a new cosymplectic energy-momentum method providing a new and more general framework to study t-dependent Hamilton equations. In fact, cosymplectic geometry allows for using more types of distinguished Lie symmetries… Show more

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