Abstract
In this paper we discuss the existence of chaotic behavior of 2-dimensional mappings. A version of Moser’s theorem is given. As the applications of our discussion, it is proved that the mapping:
possesses a shift σ of double infinite sequences as a subsystem, if the parameter A k >(1+α)π2/n for k = 1,…,n. This result is an improvement of the known works.
Supported in part by the National Natural Science Foundation of China.
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© 2000 Kluwer Academic Publishers
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Zhou, Jy. (2000). Chaos in Two-Dimensional Mappings. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_15
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DOI: https://doi.org/10.1007/978-1-4613-0271-1_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7971-3
Online ISBN: 978-1-4613-0271-1
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