Generating functions for irreversible Hamiltonian systems
arxiv(2024)
摘要
The definition of conservative-irreversible functions is extended to smooth
manifolds. The local representation of these functions is studied and reveals
that not each conservative-irreversible function is given by the weighted
product of almost Poisson brackets. The biquadratic functions given by
conservative-irreversible functions are studied and reveal a possibility for an
algebraic framework on arbitrary and in particular complex algebras.
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