Dynamical Systems

Shlomo Sternberg, Harvard University

The text: Dynamical systems

The book has appeared at Dover. It can be ordered from Dover or from Amazon.

Chapter 1: Iteration and Fixed Points Chapter 2: Bifurcations Chapter 3: Sarkovsky's theorem, Singer's Theorem, Intermittency Chapter 4: Conjugacy Chapter 5: Space and time averages Chapter 6: The contraction fixed point theorem Chapter 7: The Hausdorff metric and Hutchinson's theorem Chapter 8: Hyperbolicity Chapter 9: The Perron-Frobenius Theorem Chapter 10: Some topics in ordinary differential equations Chapter 11: Lotka-Volterra Chapter 12: Symbolic Dynamics

Preface [PDF] Click on the PDF icon to Download the book.

Lectures

Matlab files

bottleneck.m composite.m cubicnewton.m feigcalc.m fern.m graphiciterationlogistic.m graphiclogiter.m ifs.m locubed.m logistic.m logistic4histogram.m logisticcubmovie.m logisticintermittency.m

logisticlimit.m logisticsquareandfourth.m newtonbispol.m newtonin.m newtonmovie.m overthetop.m pendulum.m percp.m percrenormalization.m percrenormalized.m polyfeigren.m polylogisticcubed.m pplane7.m

Web resources

• Dfield Java applet on differential equations
• Applet links at BU
• Bifurcation Diagram Applet
• Stephen Lynch's matlab files