Abstract
Further on, it is proved that the problem of stability, and therefore the problem of topological classification as well, is not a trivial problem in the sense of [1]: i.e., it does not permit an algebraic solution, even if cases of codimensionality infinity (and even codimensionality 103) are neglected.
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© 1970 Russ. Acad. Sciences
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Arnold, V.I. (1970). Algebraic unsolvability of the problem of Lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations. In: Givental, A., Khesin, B., Varchenko, A., Vassiliev, V., Viro, O. (eds) Vladimir I. Arnold - Collected Works. Vladimir I. Arnold - Collected Works, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31031-7_25
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DOI: https://doi.org/10.1007/978-3-642-31031-7_25
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