The mathematical concept of dynamical system is founded on the fact that motions of many application processes are subjected to certain rules. In Newtonian mechanics, in other natural sciences and even in an economical and social context, these laws are given implicitly by a relation that determines the state of a system for all future times just by the knowledge of the present state. A dynamical system therefore consists of the following two components: the space of states and the rule which, given an initial state, allows the projection of the state of the system in the future.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Introduction. In: Attractivity and Bifurcation for Nonautonomous Dynamical Systems. Lecture Notes in Mathematics, vol 1907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71225-1_1
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DOI: https://doi.org/10.1007/978-3-540-71225-1_1
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