A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on excitability index a nonlinear counterpart of magnitude frequency response of linear system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolu...

This paper deals with the effect of the intrinsic material length-scale parameter on the stability and natural frequency of a rectangular micro-plate for two different cases; fully clamped and fully simply supported. A variational formulation based on Hamilton’s principle and the modified couple stress theory is used to obtain the nonlinear governing equation of a micro-plate incorporating the ...

Abstract For a parameter $\gamma \in (1,2)$, we study the fully nonlinear version of Alt–Phillips equation, $F(D^2u)=u^{\gamma -1}$, for $u\ge 0.$ We establish optimal regularity solution, as well $C^1$ regular part free boundary.