Computing normal forms and formal invariants of dynamical systems by means of word series
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Publication:272755
DOI10.1016/j.na.2015.10.013zbMath1334.34087arXiv1510.00250OpenAlexW2962953148MaRDI QIDQ272755
Jesús María Sanz-Serna, Ander Murua
Publication date: 20 April 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.00250
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Hamilton's equations (70H05)
Related Items (9)
Word series for dynamical systems and their numerical integrators ⋮ Lie groups of controlled characters of combinatorial Hopf algebras ⋮ A formal series approach to the center manifold theorem ⋮ Word combinatorics for stochastic differential equations: splitting integrators ⋮ Vibrational resonance: a study with high-order word-series averaging ⋮ Word series high-order averaging of highly oscillatory differential equations with delay ⋮ Normalization in Lie algebras via mould calculus and applications ⋮ Averaging of highly-oscillatory transport equations ⋮ A Technique for Studying Strong and Weak Local Errors of Splitting Stochastic Integrators
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