Bifurcation Analysis for a Linear System with Mathematica Animations

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=lzyQnsNzLxQ

What are the bifurcation values for the one parameter family of linear systems of differential equations with matrix A={{a,a},{1,0}}? The trace-determinant plane can help us to figure it out and Manipulate and StreamPlot on Mathematica can help us visualize it. It can also be related to the matrix exponential when we diagonalize the matrix to change coordinates. Infinite Powers, How Calculus Reveals the Secrets of the Universe (by Steven Strogatz): https://amzn.to/2XXRCF6 • #bifurcation #differentialequation #differentialequations • Links and resources • =============================== • 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... • 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ • 🔴 Follow me on Twitter: / billkinneymath • 🔴 Follow me on Instagram: / billkinneymath • 🔴 You can support me by buying Infinite Powers, How Calculus Reveals the Secrets of the Universe , by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. • 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ • • AMAZON ASSOCIATE • As an Amazon Associate I earn from qualifying purchases.

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