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Integrability of Dynamical Systems: Algebra and Analysis (Paperback, Softcover reprint of the original 1st ed. 2017)
Loot Price: R3,298
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Integrability of Dynamical Systems: Algebra and Analysis (Paperback, Softcover reprint of the original 1st ed. 2017)
Series: Developments in Mathematics, 47
Expected to ship within 10 - 15 working days
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This is the first book to systematically state the fundamental
theory of integrability and its development of ordinary
differential equations with emphasis on the Darboux theory of
integrability and local integrability together with their
applications. It summarizes the classical results of Darboux
integrability and its modern development together with their
related Darboux polynomials and their applications in the reduction
of Liouville and elementary integrabilty and in the center-focus
problem, the weakened Hilbert 16th problem on algebraic limit
cycles and the global dynamical analysis of some realistic models
in fields such as physics, mechanics and biology. Although it can
be used as a textbook for graduate students in dynamical systems,
it is intended as supplementary reading for graduate students from
mathematics, physics, mechanics and engineering in courses related
to the qualitative theory, bifurcation theory and the theory of
integrability of dynamical systems.
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