Abstract
A dynamical system can be any mechanism that evolves deterministically in time. Simple examples can be found in mechanics, one may think of the pendulum or the solar system. Similar systems occur in chemistry and meteorology.We should note that in biological and economic systems it is less clear when we are dealing with determinism1. We are interested in evolutions, that is, functions that describe the state of a system as a function of time and that satisfy the equations of motion of the system. Mathematical definitions of these concepts follow later.
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© 2011 Springer Science+Business Media, LLC
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Broer, H., Takens, F. (2011). Examples and definitions of dynamical phenomena. In: Dynamical Systems and Chaos. Applied Mathematical Sciences, vol 172. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6870-8_1
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DOI: https://doi.org/10.1007/978-1-4419-6870-8_1
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Print ISBN: 978-1-4419-6869-2
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