Symbolic Computation of Secondary Bifurcations in a Parametrically Excited Simple Pendulum

DOI10.1142/S0218127498000425zbMath0963.70504OpenAlexW2079377270MaRDI QIDQ4936257

Eric A. Butcher, Subhash C. Sinha

Publication date: 25 January 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127498000425

zbMATH Keywords

fundamental solution matrixlinearizationPoincaré mapbifurcation conditionssecondary bifurcationscriteria for local stabilitylinear time-periodic systemsparameter-dependent Floquet transition matrixparametrically excited simple pendulum

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Parametric resonances in linear vibration theory (70J40)

Related Items (1)

Symmetry breaking bifurcations of a parametrically excited pendulum

Cites Work

• SYMBOLIC COMPUTATION OF FUNDAMENTAL SOLUTION MATRICES FOR LINEAR TIME-PERIODIC DYNAMICAL SYSTEMS
• STABILITY ANALYSIS OF PERIODIC SYSTEMS BY TRUNCATED POINT MAPPINGS
• Optimal control of mechanical systems subjected to periodic loading via chebyshev polynomials
• A study of nonlinear periodic systems via the point mapping method

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