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Applications of the Theory of Impulsive Parametric Excitation and New Treatments of General Parametric Excitation Problems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper the stability theory of impulsive parametric excitation developed in [1] is first applied to three mechanical systems. Explicit and exact stability conditions are easily found and ...
Steady-State Response of a Dynamical System Under Combined Parametric and Forcing Excitations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A linear dynamical system subjected to combined parametric and forcing excitations of periodic nature is governed by a system of inhomogeneous differential equations with periodic coefficients. ...
Determination of Global Regions of Asymptotic Stability for Difference Dynamical Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper certain global properties of dynamical systems governed by nonlinear difference equations are studied. When an asymptotically stable equilibrium state or periodic solution exists, ...