Abstract: In most parametrically excited systems, stability boundaries cross each other at several points to form closed unstable subregions commonly known as “instability pockets.” The first aspect of this study explores some general ...

Abstract: Parametrically excited linear systems with oscillatory coefficients have been generally modeled by Mathieu or Hill equations (periodic coefficients) because their stability and response can be determined by Floquét theory. ...

Abstract: Many dynamical systems can be modeled by a set of linear/nonlinear ordinary differential equations with periodic timevarying coefficients. The state transition matrix (STM) خ¦(t,خ±), associated with the linear part of the ...