Détermination des exposants de Floquet-Liapounov de l’equation de hill d’ordren, applications

DOI10.1007/BF03167094zbMath0607.34026MaRDI QIDQ3746133

Bruno Rossetto

Publication date: 1986

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

chaosHopf bifurcationcomputer algorithmFloquet exponentsFloquet-Lyapunov exponentsneurophysiology phenomenasecond order Hill equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular perturbations of ordinary differential equations (34D15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (1)

TWO-DIMENSIONAL DYNAMICAL SYSTEMS WITH PERIODIC COEFFICIENTS

Cites Work

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• Infinite determinants associated with Hill's equation
• Large volume limit of the distribution of characteristic exponents in turbulence
• A two-dimensional mapping with a strange attractor
• Strange attractors
• Characteristic exponents and invariant manifolds in Hilbert space
• Solutions périodiques discontinues pour l'approximation singuliere d'un modèle neurophysiologique dans \(R^ 4 \)- une metaphore dans \(R^ 3 \)avec chaos
• On Hill's method in the theory of linear differential equations with periodic coefficients. Determination of the characteristic exponents
• On HILL' S method in the theory of linear differential equations with periodic coefficients
• A Generalized Hill’s Method for the Stability Analysis of Parametrically Excited Dynamic Systems
• Instability intervals of Hill's equation
• Estimates on the Stability Intervals for Hill's Equation
• On the gaps in the spectrum of the Hill equation

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