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We found one dictionary that defines the word bihamiltonian:

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  1. bihamiltonian, biHamiltonian: Wiktionary

Definitions from Wiktionary (biHamiltonian)

adjective:  (mathematics) Describing any system that may be described by a pair of hamiltonian structures
adjective:  Alternative letter-case form of bihamiltonian [(mathematics) Describing any system that may be described by a pair of hamiltonian structures]

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