Introduction

Andrew Fowler () and Mark McGuinness
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Andrew Fowler: University of Limerick, MACSI
Mark McGuinness: Victoria University of Wellington, School of Mathematics and Statistics

Chapter Chapter 1 in Chaos, 2019, pp 1-19 from Springer

Abstract: Abstract The basics of dynamical systems are reviewed: phase plane analysis and bifurcation theory. The idea of a strange attractor for ordinary differential equations is introduced, the phenomenon of fluid turbulence is discussed and the subject of stochasticity in Hamiltonian systems, and particularly in celestial mechanics, is described. The chapter finishes with a discussion of the Lorenz equations, the derivation of the Lorenz map and a simple characterisation of chaos in one-dimensional maps.

Date: 2019
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DOI: 10.1007/978-3-030-32538-1_1

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