Vertical and Horizontal Models in Chaos Theory
I will review material on vertical and horizontal modelling. The vertical and horizontal construction of models in chaos theory will be demonstrated in two case studies: the construction of three models based on the logistic equation and two models based on the Lorenz equations.
Keywordschaos logistic model Lorenz model models in science
- R. L. Devaney. An Introduction to Chaotic Dynamical Systems. Addison Wesley, Redwood City, 1989.Google Scholar
- Roman Frigg and Stephan Hartmann. Models in science. In Edward N. Zalta, editor, The Stanford Encyclopedia of Philosophy, Fall edition, 2012.Google Scholar
- R. C. Hilborn. Chaos and Nonlinear Dynamics. Oxford University Press, Oxford, 2002.Google Scholar
- M. W. Hirsch, S. Smale, and R. L. Devaney. Differential Equations, Dynamical Systems and An Introduction to Chaos. Elsevier, Amsterdam, 2004.Google Scholar