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Analytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom : Simple pendulum and free rigid body dynamics (Exponential Analysis of Differential Equations and Related Topics)

open access: yesAnalytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom : Simple pendulum and free rigid body dynamics (Exponential Analysis of Differential Equations and Related Topics)
Birkhoff normal form is a power series expansion associated with the local behavior of a Hamiltonian system near the critical point. It is known that one can take convergent canonical transformation which puts the Hamiltonian into Birkhoff normal form for integrable systems under some non-degeneracy conditions.
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Unifying regulatory motifs in endocrine circuits. [PDF]

open access: yesNat Commun
Raz M   +7 more
europepmc   +1 more source

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