Approximation of center manifolds on the renormalization group method

DOI10.1063/1.2996290zbMath1152.81375OpenAlexW2017948606MaRDI QIDQ5505071

Hayato Chiba

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d166de3ac7f22d7d54217979630ef5352ea68db6

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Symmetries, invariants of ordinary differential equations (34C14) Dynamics induced by flows and semiflows (37C10)

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Cites Work

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• Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations
• Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes.
• On a certain renormalization group method
• $C^1$ Approximation of Vector Fields Based on the Renormalization Group Method
• A Renormalization Group Method for Nonlinear Oscillators
• A New Renormalization Method for the Asymptotic Solution of Weakly Nonlinear Vector Systems
• The renormalization group and the implicit function theorem for amplitude equations

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