The theory of parametric oscillations

DOI10.1016/j.jappmathmech.2014.05.004zbMath1327.34061OpenAlexW1965859506MaRDI QIDQ900354

Alexandr A. Zevin

Publication date: 22 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2014.05.004

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (1)

Stabilization algorithm for periodic affine systems

Cites Work

• Dynamics of the pendulum with periodically varying length
• Oscillations of a pendulum with a periodically varying length and a model of swing
• Generalization of the Rayleigh theorem to gyroscopic systems
• Analysis of stability and instability regions in parametrically excited Hamiltonian systems
• Generalization of the Rayleigh Theorem to Non-Linear and Parametrically Excited Systems
• A new approach to the theory of the stability of linear canonical systems of differential equations with periodic coefficients
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