Abstract
We study the dynamics of particle systems near solution singularities for different types of potentials. Solution singularities appear in finite time, but they can be blown up and removed to infinity with the help of certain transformations, thus creating the framework of a dynamical system. In this paper we present several examples of solution singularities and various ways of removing them by the blow-up technique. These will put into the evidence the benefits of blow-up transformations towards understanding the motion near singularities.
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© 2000 Springer-Verlag London Limited
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Diacu, F. (2000). Finite Versus Infinite in Singularity Dynamics. In: Finite Versus Infinite. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0751-4_7
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DOI: https://doi.org/10.1007/978-1-4471-0751-4_7
Publisher Name: Springer, London
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