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- W3201760667 abstract "We compute the critical surface for the existence of invariant tori of a family of Hamiltonian systems with two and three degrees of freedom. We use and compare two methods to compute the critical surfaces: renormalization-group transformations and conjugation in configuration space. We unveil the presence of cusps in the critical surface for the breakup of three-dimensional invariant tori of Hamiltonian systems with three degrees of freedom, whereas the critical surface of two-dimensional invariant tori of Hamiltonian systems with two degrees of freedom is expected to be smooth." @default.
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- W3201760667 date "2023-03-01" @default.
- W3201760667 modified "2023-09-23" @default.
- W3201760667 title "Numerical Computation of Critical Surfaces for the Breakup of Invariant Tori in Hamiltonian Systems" @default.
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- W3201760667 doi "https://doi.org/10.1137/21m1448501" @default.
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