Stability and Hopf bifurcation in an hexagonal governor system

DOI10.1016/J.NONRWA.2007.01.007zbMath1140.70009arXivmath/0612420OpenAlexW1980620487MaRDI QIDQ933553

Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612420

zbMATH Keywords

Lyapunov stabilityperiodic orbitsufficient conditions

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Related Items (7)

Stochastic Stability and Bifurcation of Centrifugal Governor System Subject to Color Noise ⋮ Robust synchronization of a chaotic mechanical system with nonlinearities in control inputs ⋮ Chaos suppression of rotational machine systems via finite-time control method ⋮ Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer-van der Pol oscillator ⋮ Dynamical behavior and Poincaré section of fractional-order centrifugal governor system ⋮ Fractal structures in centrifugal flywheel governor system ⋮ Hopf bifurcation in an hexagonal governor system with a spring

Cites Work

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• Bifurcation analysis of the Watt governor system
• A new approach to the computation of the Lyapunov constants
• The development of frequency-response methods in automatic control [Perspectives]
• Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
• Elements of applied bifurcation theory

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