Normal forms and integrability of ODE systems

DOI10.1134/S0361768806030042zbMath1120.34026MaRDI QIDQ2433011

Victor F. Edneral, Alexander D. Bruno

Publication date: 26 October 2006

Published in: Programming and Computer Software (Search for Journal in Brave)

zbMATH Keywords

perturbationnormal formLie transform theory

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (5)

POINCARé CODE: a package of open-source implements for normalization and computer algebra reduction near equilibria of coupled ordinary differential equations ⋮ Stability and chaotic behavior of a PID controlled inverted pendulum subjected to harmonic base excitations by using the normal form theory ⋮ Fold-Hopf bifurcation, steady state, self-oscillating and chaotic behavior in an electromechanical transducer with nonlinear control ⋮ On an integrable Hamiltonian system ⋮ Unnamed Item

Cites Work

• Normal forms
• A symbolic approximation of periodic solutions of the Henon--Heiles system by the normal form method

This page was built for publication: Normal forms and integrability of ODE systems