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Hydrodynamic stability at high Reynolds number is a central topic in fluid mechanics. It is closely related to turbulence. Whereas the laminar velocity profile is linearly stable for all Reynolds numb...
For unipolar hydrodynamic model of semiconductor device represented by Euler-Poisson equations, when the doping profile is supersonic, the existence of steady transonic shock solutions and C^\infty-sm...
The fifth International Conference on Recent Advances in Nonlinear Mechanics(RANM 2021) will be held in Hangzhou, China during October 22 – 25, 2021. The objective of RANM 2021 is to provide scientist...
The International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC) provides the premiere professional networking opportunity for researchers in the multibody systems and nonlin...
The fixed effects estimator of panel models can be severely biased because of well-known incidental parameter problems. It is shown that this bias can be reduced as T grows with n. We con...
Lecture Notes on Nonlinear Vibrations.
Byusingadoubleperturbationmethodwhichassumesthatbothε andμaresmall,we approximate analytical conditions for the existence and bifurcation of nonlinear quasiperiodic motions in the neighborhood of the ...
It is shown that a transformation of time can allow the periodic solution of a strongly nonlinear oscillator to be written as a simple cosine function. This enables the stability of strongly nonlinear...
Thispaperdealswithaclassofconservative nonlinear oscillators of the form ¨ x(t) + f (x(t)) = 0,where f (x) is analytic. A transformation of time fromt to a new time coordinate τ is defined such that p...
Instabilities associated with 2:1 and 4:1 res-onances of two models for the parametric forcing of a strictly nonlinear oscillator are analyzed. The first model involves a nonlinear Mathieu equation an...
We investigate the dynamics of a delayed nonlinear Mathieu equation:¨ x + (δ + εα cost)x + εγx 3 = εβx(t − T) in the neighborhood of δ = 1/4. Three different phe-nomena are combined in this syst...
Lecture Notes on Nonlinear Vibrations.
A categorical and Łukasiewicz-Topos framework for Algebraic Logic models of nonlinear dynamics in complex functional systems such as Neural Networks, Cell Genome and Interactome Networks is intro...
The dynamics of shallow-water coastal environments are controlled by external drivers—sea level rise, storms, and sediment and nutrient supplies—and by internal feedbacks. Interactions of biotic proce...

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