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• W2947348618 abstract "A $mathcal{F}$- foliated Lie system is a first-order system of ordinary differential equations whose particular solutions are contained in the leaves of the foliation $mathcal{F}$ and all particular solutions within any leaf can be written as a certain function, a so-called foliated superposition rule, of a family of particular solutions of the system within the same leaf and several parameters. We analyse the properties of such systems and we illustrate our results by studying Lax pairs and a class of $t$-dependent Hamiltonian systems. We finally study foliated Lie systems through Poisson structures and $r$-matrices." @default.
• W2947348618 created "2019-06-07" @default.
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• W2947348618 date "2019-05-30" @default.
• W2947348618 modified "2023-09-27" @default.
• W2947348618 title "Foliated Lie systems: Theory and applications" @default.
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• W2947348618 hasPublicationYear "2019" @default.
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