Feigenbaum Scaling

Feigenbaum Scaling

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. A more intricate approach drawing from renormalization theory as well as a short con...

Full description

Bibliographic Details
Main Author: Sendrowski, Janek
Format: Others
Language:English
Published: Linnéuniversitetet, Institutionen för matematik (MA) 2020
Subjects:
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
Mathematical Analysis
Matematisk analys
Other Mathematics
Annan matematik
Computational Mathematics
Beräkningsmatematik
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635

Internet

http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635

Similar Items