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Die Vorlesung richtet sich an Masterstudierende der Mathematik, der Wirtschaftsmathematik und des Lehramts Mathematik. Im Sommersemester 2023 wird es (anders als 2016) in erster Linie um diskrete Systeme und damit um die Iteraton von Funktionen gehen.Skript zur Vorlesung (SoSe 2023) (Version vom 19.07.2023) Skript zur Vorlesung (SoSe 2016) (Version vom 13.07.2016) Übungsblätter SoSe 2016Blatt 1Blatt 2 Blatt 3 Blatt 4 Blatt 5 Blatt 6 Blatt 7 LiteraturBrin, M., Stuck, G., Introduction to Dynmaical Systems, Cambridge University Press, Cambridge, 2002Devaney, R. L., An Introduction to Chaotic Dynamical Systems, 2nd ed., Addison-Wesley, Redwood City, California, 1989. Einsiedler, M. , Schmidt, K., Dynamische Systeme, Birkhäuser, Basel, 2014. Grosse-Erdmann, K.-G., Peris Manguillot, A., Linear Chaos, Springer, London, 2011. Robinson, C., Dynamical Systems, 2nd ed., CRC Press, Boca Raton, 1999. Walters, P., An Introduction to Ergodic Theory, Springer, 1982. ... und ergänzendArnold, V. I., Gewöhnliche Differentialgleichungen, Springer, Berlin, 1980.Araujo, V., Pacifico, M.J. Three Dimensional Flows, Springer, Berlin, 2010. Bayart, F., Matheron, E. Dynamics of Linear Operators, Cambridge University Press, Cambridge, 2009. Arrowsmith, D. K., Place, C. M., An Introduction to Dynamical Systems, Cambridge Univ. Press, 1990. Arrowsmith, D. K., Place, C. M., Dynamical Systems, Chapman & Hall, London, 1992. Denker, M. Einführung in die Analysis dynamischer Systeme, Springer, Berlin, 2005 Drazin, P. G., Nonlinear Systems, Cambridge Univ. Press, 1992. Guckenheimer, J., Holmes, P., Nonlinear Osciallations, Dynamical Systems and Bifurcations of Vector Fields, Springer, New York, 1983. Hale, J. K., Kocak, H., Dynamics and Bifurcations, Springer, New York, 1991. Hale, J. K., Ordinary Differential Equations, 2nd ec., R. E. Krieger Publishing Company, New York, 1980. Hubbard, J. H., West, B. H., Differential Equations: A Dynamical Systems Approach; Higher Dimensional Systeem, Springer, New York, 1995. King, A. C., Billingham, J., Otto, S. R., Differential equations, Linear, Nonlinear, Ordinary, Partial, Cambridge University Press, Cambridge, 2003. Kurzweil, J., Ordinary Differential Equations, Elsevier, Amsterdam, 1986. Perko, L., Differential Equations and Dynamical Systems, 2nd ed., Springer, New York, 1996. Plaschko, P., Brad, K., Nichtlineare Dynamik, Bifurkation und Chaotische Systeme, Vieweg, Braunschweig/Wiesbaden, 1995. Prüss, J.W., Wilke, M. Gewöhnliche Differentialgleichungen und dynamische Systeme, Birkhäuser, Basel, 2010 Scheinerman, E. R., Invitation to Dynamical Systems, Prentice Hall, Upper Saddle River, 1996. Tu, P. N. V., Dynamical Systems, 2nd ed., Springer, Berlin, 1994. Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer, Berlin, 1990. Zehnder, E., Lectures on Dynamical Systems, European Mathematical Society, 2010.
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