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A Bifurcation Analysis of the Quadratically Damped Mathieu Equation and Its Applications to the Dynamics of Submarine Towed-Array Lifting Devices
Bifurcation Analysis Quadratically Damped Mathieu Equation Applications Dynamics Submarine Towed-Array Lifting Devices
2015/8/27
This work concerns the dynamics of towed array lifting devices (LFDs), which help to maintain the position of a tow line being dragged behind a vessel.
Pattern formation in a cell based auxin transport model with numerical bifurcation analysis
Pattern formation cell auxin transport model numerical bifurcation analysis
2012/2/28
Transport models of growth hormones can be used to reproduce the hormone accumulations that occur in plant organs. Mostly, these accumulation patterns are calculated using time step methods, even thou...
Numerical Bifurcation Analysis of Conformal Formulations of the Einstein Constraints
bifurcation theory nonlinear PDE non-uniqueness solution folds pitchfork bifurcation compact operators Fredholm operators
2011/8/23
Abstract: The Einstein constraint equations have been the subject of study for more than fifty years. The introduction of the conformal method in the 1970's as a parameterization of initial data for t...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation
2010/12/28
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
Asymptotic bifurcation analysis wave-pinning reaction-diffusion model
2011/1/5
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Stability and Bifurcation Analysis of Coupled Fitzhugh-Nagumo Oscillators
Coupled Fitzhugh-Nagumo Oscillators Hindmarsh-Rose Discriminant Variety Morris-Lecar
2010/4/1
Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consis...
Bifurcation analysis of a paradigmatic model of monsoon prediction
Bifurcation analysis paradigmatic model monsoon prediction
2009/11/11
Local and global bifurcation structure of the forced Lorenz model in the r-F plane is investigated. The forced Lorenz model is a conceptual model for understanding the influence of the slowly varying ...