Computation of the normal forms for general M-DOF systems using multiple time scales. I: Autonomous systems

DOI10.1016/J.CNSNS.2004.06.004zbMath1078.34019OpenAlexW2022855043MaRDI QIDQ1776774

Songhui Zhu, Pei Yu

Publication date: 12 May 2005

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2004.06.004

zbMATH Keywords

Computer algebraMAPLEResonanceNormal formCenter manifoldNonlinear vibrationNonresonance

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Multiple scale methods for ordinary differential equations (34E13) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (8)

Non-resonant response, bifurcation and oscillation suppression of a non-autonomous system with delayed position feedback control ⋮ Bifurcation analysis in a modified Lesile-Gower model with Holling type II functional response and delay ⋮ Higher order accuracy analysis of the second-order normal form method ⋮ Symbolic computation of normal form for Hopf bifurcation in a retarded functional differential equation with unknown parameters ⋮ Methods for solving singular perturbation problems arising in science and engineering ⋮ ESTIMATION OF CHAOTIC THRESHOLDS FOR THE RECENTLY PROPOSED ROTATING PENDULUM ⋮ On the constructive algorithm for stability analysis of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in the case of combinational resonance ⋮ Computation of the normal forms for general M-DOF systems using multiple time scales. II: Non-autonomous systems

Uses Software

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Cites Work

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