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• Actually, the mathematical model is an idealization of the real system and usually not all points in the phase space correspond to states that can be physically achieved; Mañé, R., (1987) Ergodic Theory of Differentiable Dynamics, , Springer, Berlin
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• Grebogi, C., Ott, E., (1986) Phys. Rev. Lett., 56, p. 1011. , Physica D 24, 243 (1987). Although we cannot guarantee what happens with the whole basin between (Formula presented) and (Formula presented), we can say that at least a neighborhood of (Formula presented) which lies inside (Formula presented) is a smooth deformation of a neighborhood of (Formula presented) in (Formula presented). In many cases this is not just a small neighborhood, but the bulk of the basins
• Szabóand T. Tél, K.G., (1994) Phys. Lett. A, 196, p. 173
• Hunt, B.R., Ott, E., Yorke, J.A., (1996) Phys. Rev. E, 54, p. 4819

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