Abstract
These lecture notes provide an introduction to dynamical systems theory at an advanced undergraduate/graduate level and are intended to serve as a reference for these proceedings. The qualitative behaviour of both linear and non-linear autonomous differential equations is discussed. Particular attention is given to Liapunov stability theory, periodic orbits, limit sets, structural stability, and bifurcation theory, leading up to higher order systems and chaos.
Based on Lecture Notes entitled ‘Dynamical Systems’ by J. Wainwright; edited by Alan Coley, Department of Mathematics, Statistics, and Computer Science, Dalhousie University, Halifax, Nova Scotia, B3H 3J5
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© 1994 Springer Science+Business Media New York
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Wainwright, J. (1994). Introduction to Dynamical Systems. In: Hobill, D., Burd, A., Coley, A. (eds) Deterministic Chaos in General Relativity. NATO ASI Series, vol 332. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9993-4_2
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DOI: https://doi.org/10.1007/978-1-4757-9993-4_2
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