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On Local Lyapunov Exponents of Chaotic Hamiltonian Systems
Chaos in conservative systems, particularly in Hamiltonian systems, is different from chaos in dissipative systems. For example, not only the eigenvalues of the symmetric Jacobian, but also the global Lyapunov exponents of Hamiltonian systems occur in pairs (λ, −λ). In this article, we even s ...
On Algebras Associated with Integrable Hamiltonian Systems
The aim of this paper is to give a general setting, based on quantum deformations, for the explicit construction of certain classes of integrable Hamiltonian systems.