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• W2123150234 abstract "It is well known that basic ideas and concepts of modern theory of dynamical systems come from the classical theory of ordinary differential equations. Indeed, for a given autonomous system of first-order ordinary differential equations in a finite-dimensional phase space (e.g., in R n ), the famous Liouville theorem establishes necessary and sufficient conditions, under which the corresponding phase flow preserves the Lebesgue measure (see, for instance, [196] and Exercise 2 of Chapter 3). Those conditions are trivially fulfilled for a Hamiltonian system in the same phase space. Consequently, we obtain a natural example of a dynamical system which is systematically used in studies of various physical (primarily, evolutional) processes." @default.
• W2123150234 created "2016-06-24" @default.
• W2123150234 creator A5037557965 @default.
• W2123150234 date "2009-01-01" @default.
• W2123150234 modified "2023-09-24" @default.
• W2123150234 title "Nonmeasurable subgroups of uncountable solvable groups" @default.
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• W2123150234 doi "https://doi.org/10.2991/978-94-91216-36-7_10" @default.
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