This paper presents a modal, time-domain scheme for the nonlinear vibrations of perfect and imperfect plates. The scheme can take into account a large number of degrees-of-freedom and is energy-conserving. The targeted application is the sound synthesis of cymbals and gong-like musical instruments, which are known for displaying a strongly nonlinear vibrating behaviour. This behaviour is typica...

In this paper an analytic approach is devised to represent, and study the behavior of, nonlinear dynamic chaotic Genesio system using general nonlinear modal representation. In this approach, the original nonlinear ordinary differential equations (ODEs) of model transforms to a sequence of linear timeinvariant ODEs. By solving the proposed linear ODEs sequence, the exact solution of the origina...

In this paper I will give a modal two-dimensional analysis of presupposition and modal subordination. I will think of presupposition as a non-veridical propositional attitude. This allows me to evaluate what is presupposed and what is asserted at different dimensions without getting into the binding problem. What is presupposed will be represented by an accessibility relation between possible w...

This paper presents a new practical technique to design stabilizing locallyrobust nonlinear controllers using ideas from feedback linearization theory. The asymptotic stability of the nonlinear closed loop system is achieved by constructing outputs for the linearized plant at a given equilibrium point. A method is presented to locate transmission zeros of the linearized plant, so as to stabiliz...