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[This chapter investigates a specific point of the very intricate asymptotic behaviourAsymptotic behaviour of the SD oscillatorSD oscillator, which is known as the Wada basin dynamics. The oscillator is subjected to a linear viscous damping and to a sinusoidal forcing. As described and already observed through direct numerical integration, this system may possess more than twenty coexisted low-period periodic attractorsLow-period periodic attractor for a given set of parameters. The large number of stable orbits yields a complex structure of closely interwoven basins of attraction. We obtain the so-called Wada basins of which the boundaries are rigorously described.]
Published: Sep 28, 2016
Keywords: Periodic Point; Unstable Manifold; Stable Manifold; Basin Boundary; Periodic Attractor
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