Abstract
The oscillations we have encountered in previous chapters have been periodic. Periodicity refiects a high degree of regularity and order. Frequently, however, one encounters irregular oscillations, like those illustrated in Figure 9.1. Functions or dynamical behavior that is not stationary, periodic or quasiperiodic may be called chaotic, sometimes aperiodic or erratic. We shall use “chaos” in this broad meaning; note that chaos can be defined in a restricted way, characterizing orbits with a positive Liapunov exponent (to be explained later). Such dynamic behavior can be seen as the utmost fiexibility a dynamical system may show. It is expected that systems with chaotic behavior can be easily modulated or stabilized. Note that the “irregularity” of chaos is completely deterministic and not stochastic.
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Seydel, R. (2010). Chaos. In: Practical Bifurcation and Stability Analysis. Interdisciplinary Applied Mathematics, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1740-9_9
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DOI: https://doi.org/10.1007/978-1-4419-1740-9_9
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