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Strongly Unpredictable Solutions

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Dynamics with Chaos and Fractals

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 29))

Abstract

This chapter is concerned with the existence and uniqueness of asymptotically stable unpredictable solutions for quasilinear differential equations. Two principal novelties are in the basis of the research. The first one is that all coordinates of a solution are unpredictable functions. That is, solutions are strongly unpredictable. Second, perturbations are strongly unpredictable in the time variable functions. Examples with numerical simulations are presented to illustrate the theoretical results. The results of this chapter are published in the paper.

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References

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Akhmet, M., Fen, M.O., Alejaily, E.M. (2020). Strongly Unpredictable Solutions. In: Dynamics with Chaos and Fractals. Nonlinear Systems and Complexity, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-030-35854-9_7

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