Essays about: "pitchfork bifurcation"

Found 2 essays containing the words pitchfork bifurcation.

1. 1. Feigenbaum Scaling

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Janek Sendrowski; [2020]
   Keywords : Feigenbaum; Feigenbaum constant; Feigenbaum point; superstable; self-similarity; fractals; final-state diagram; logistic map; period-doubling operator; linearized period-doubling operator; Cantor set; Sharkovsky sequence; Chebyshev interpolation; stable manifold; unstable manifold; orbits; fixed points; scaling factor; pitchfork bifurcation; cobweb plot; renormalization; iterates; one-hump map; unimodal map; bifurcation cascade; Feigenbaum universality; chaos theory; spectrum; generalized Feigenvalues; bifurcation points; superstable points; fixed function; universal function; eigenvalues; eigenvectors; eigenfunctions; universality conditions; Schwarzian derivative; Newton’s method; power method; Arnoldi’s method; attractive fixed point; repellent fixed point; Banach fixed-point theorem; collocation method; functional analysis; topology;

   Abstract : In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. READ MORE

3. 2. Stenotic Flows: Direct Numerical Simulation,Stability and Sensitivity to Asymmetric ShapeVariations

   University essay from KTH/Mekanik

   Author : John GW Samuelsson; [2014]
   Keywords : ;

   Abstract : Flow through a sinuous stenosis with varying degrees of shape asymmetry andat Reynolds number ranging from 250 up to 800 is investigated using direct numericalsimulation (DNS), global linear stability analysis and sensitivity analysis.The shape asymmetry consists of an offset of the stenosis throat, quantifiedas the eccentricity parameter, E. READ MORE