Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori
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Publication:4588273
DOI10.1137/17M1113254zbMath1376.65149OpenAlexW2745959952MaRDI QIDQ4588273
Roberto Barrio, Daniel Wilczak
Publication date: 1 November 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1113254
algorithmPoincaré mapsHamiltonian systemsnormal formsresonancesinvariant toricontinuationcomputer-assisted proofMichelson systemHénon-Heiles Hamiltonianpendulum equationsstable elliptic periodic orbit
Numerical nonlinear stabilities in dynamical systems (65P40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
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Uses Software
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