Abstract
Although the role played by symplectic geometry in the theory of differential equations is well known (sec, e.g., L. Hörmander [60], V. Guillemin and S. Sternberg [38], V. E. Nazaikinskii, B. Yu. Sternin and V. E. Shatalov [144]), we start our exposition with a simple example showing how the main notions of symplectic geometry arise when one studies singularities of solutions to differential equations.
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© 1994 Springer Science+Business Media Dordrecht
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Sternin, B., Shatalov, V. (1994). Symplectic and Contact Structures. In: Differential Equations on Complex Manifolds. Mathematics and Its Applications, vol 276. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1259-0_3
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DOI: https://doi.org/10.1007/978-94-017-1259-0_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4368-9
Online ISBN: 978-94-017-1259-0
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