ME 406

Applications and Examples

Mathematica 5

The applications and examples are in the form of Mathematica notebooks. Such notebooks are available in two forms from the table below. The first form is an executable Mathematica notebook, denoted by a suffix nb. To save space and download time, all output is removed from those notebooks. The second form is Adobe pdf, in which all output remains. The pdf format is suitable for visualization and printing but cannot be executed. Introduction to Lorenz Equations.nb Introduction to Lorenz Equations.pdf Introduction to Driven Pendulum.nb Introduction to Driven Pendulum.pdf Logistic Population Model.nb Logistic Population Model.pdf Damped Linear Oscillator.nb Damped Linear Oscillator.pdf Catalogue of 2D Equilibria.nb Catalogue of 2D Equilibria.pdf Stability by Linearization.nb Stability by Linearization.pdf Local-Global Transition.nb Local-Global Transition.pdf Graphical Liapunov Functions.nb Graphical Liapunov Functions.pdf Predator-Prey Part 1.nb Predator-Prey Part 1.pdf Examples of Periodic Solutions.nb Examples of Periodic Solutions.pdf Van der Pol Oscillator.nb Van der Pol Oscillator.pdf Trapping a Limit Cycle.nb Trapping a Limit Cycle.pdf Phase Portrait with 5 Equilibria.nb Phase Portrait with 5 Equilibria.pdf Orbital Stability.nb Orbital Stability.pdf Bifurcations in a Linear System.nb Bifurcations in a Linear System.pdf Saddle Node Bifurcation.nb Saddle Node Bifurcation.pdf Transcritical Bifurcation.nb Transcritical Bifurcation.pdf Supercritical Pitchfork.nb Supercritical Pitchfork.pdf Subcritical Pitchfork.nb Subcritical Pitchfork.pdf Supercritical Hopf Bifurcation.nb Supercritical Hopf Bifurcation.pdf Subcritical Hopf Bifurcation.nb Subcritical Hopf Bifurcation.pdf Predator-Prey Part 2.nb Predator-Prey Part 2.pdf Eigenvalue Methods for Linear Systems.nb Eigenvalue Methods for Linear Systems.pdf Stable and Unstable Manifolds.nb Stable and Unstable Manifolds.pdf Lorenz Equations.nb Lorenz Equations.pdf Tent Map.nb Tent Map.pdf Area Distortion and Solution Separation.nb Area Distortion and Solution Separation.pdf Logistic Map.nb Logistic Map.pdf Iterated Maps.nb Iterated Maps.pdf Pendulum.nb Pendulum.pdf SIR Model of Epidemics.nb Sir Model of Epidemics.pdf SIR With Births and Deaths.nb

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