Abstract
Computing basins of attraction results in a new understanding of the behavior of dynamical systems. The basin of attraction of an attracting set is the set of all the initial conditions in the phase space whose trajectories go to that attracting set. Consult Chapter 6 for a definition of the notion “attractor”. The main objective of this chapter is to describe the theory and practice of plotting a basin of an attractor. A generalized attractor is the union of finitely many attractors, and a generalized basin is the basin of a generalized attractor.
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© 1994 Springer-Verlag New York, Inc.
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Nusse, H.E., Yorke, J.A., Kostelich, E.J. (1994). Basins of Attraction. In: Dynamics: Numerical Explorations. Applied Mathematical Sciences, vol 101. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0231-5_7
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DOI: https://doi.org/10.1007/978-1-4684-0231-5_7
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