Adaptive Numerical Methods for Transport Dominated Processes
The numerical approximation of processes of transport and diffusion can be very challenging when the diffusion is small compared to the convection. Standard Galerkin methods need to be...





Annual Oscillation of Mean Monthly Water Levels at U.S. Ports
The annual variation in water level is not widely recognized among engineers. It could effect the selection of design ship channel depth or marina channel dredging, and tidal wetland creation...





Responses of Bilinear and Impacting Systems Subjected to Regular Waves
The dynamic responses of bilinear and impacting oscillators subjected to harmonic loadings are investigated. Differing from previous studies in which bifurcation diagrams were developed...

Nonlinear Behavior of Thin Slender Free Surface Non-Newtonian Elliptical Rings
This paper analyzes the nonlinear motion of a slender concentric thin elliptical ring of an incompressible, non-Newtonian fluid. This study includes the physical effects of surface tension,...

Equivalence Between Motions with Noise-Induced Jumps and Chaos with Smale Horseshoes
For certain sets of parameters multi-stable oscillators excited by noise can exhibit irregular jumps. We consider one-degree-of-freedom near-integrable multi-stable systems whose unperturbed...

Bifurcations and Chaos in Structural Control
We study a harmonically forced oscillator with nonlinear soft spring subjected to a linear feedback control with time delay. This system can be written as a three dimensional dynamical...

Analog Electronic Simulations of a Nonlinear System
We perform electronic analog simulations of a harmonically forced Duffing oscillator. The addition of noise perturbations of sufficient intensity is shown to induce transitions between...

Responses of Nonlinear Oscillators Excited by Non-Gaussian Pulse Processes
The estimation of the response statistics of nonlinear systems subjected to Poisson-distributed pulse processes is addressed. The procedure to be followed is based on an extension of the...

Nonlinear System under Non-Gaussian Impulsive Noise Excitation
A perturbation scheme is devised to obtain an approximate stationary probability density for the response of a nonlinear oscillator subjected to an impulsive noise excitation....

Reliability Analysis of Degrading Elasto-Plastic Oscillators
A method is developed for calculating the probability (reliability) that the total plastic displacement of an elasto-plastic oscillator does not exceed a critical level during a reference...

Truncation of Infinite Hierarchy for Hysteretic Systems
An analytical approach for estimating the response statistics of hysteretic systems subjected to Gaussian or Non-Gaussian white noise excitation is proposed. A generalized Ito moment equation...

Numerical Solution of the Transient Fokker-Planck Equation: The Movie
The finite element method is applied to the solution of the transient Fokker-Planck equation for several nonlinear dynamical systems in R², giving...

Probability and Climatology of Droughts in the Western United States
The incidence of drought in the western United States is caused primarily by large-scale anomalies in the circulation of atmospheric, midlatitudinal, transport and the occurrence of the...

Hydrodynamic Pressure on an Oscillating Vertical Plate
The hydrodynamic pressure on an oscillating vertical plate could be influenced by the effects of compressibility of fluids and surface waves. The compressibility is effective for higher...

 

 

 

 

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