Titlebook: Almost Periodicity, Chaos, and Asymptotic Equivalence; Marat Akhmet Book 2020 Springer Nature Switzerland AG 2020 Chaos.Li-Yorke Chaos.Alm

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Developments in Applied Spectroscopyential equations with different types of discontinuity, but also unbounded number sequences which are common instruments to introduce and analyze discontinuities not only in impulsive systems, but also in differential equations with discontinuous right-hand side, differential equations with piecewise constant arguments, dynamics on time scales.

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Developments in Applied Spectroscopyive differential equations (IDE). DETC are in some sense more general than dynamic equations on time scales. Basic properties of linear systems, existence and stability of periodic solutions and almost periodic solutions are considered. Appropriate examples are given to illustrate the theory.

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David J. Krutchkoff,H. B. Mark Jr.al way (the cascade of almost periodic solutions) with the chaos which contains infinitely many almost periodic solutions in the basis, instead of periodic solutions, what we used to see in different types of chaos development.

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Nonlinear Systems and Complexityhttp://image.papertrans.cn/a/image/153893.jpg

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Developments in Applied Spectroscopymprehension of the main body of the book. This is, first of all, a description of piecewise continuous functions and their points of discontinuity. Analysis instruments such as equivalent integral equations and the Gronwall-Bellman lemma for piecewise continuous functions are carefully described. St

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Developments in Applied Spectroscopyential equations with different types of discontinuity, but also unbounded number sequences which are common instruments to introduce and analyze discontinuities not only in impulsive systems, but also in differential equations with discontinuous right-hand side, differential equations with piecewis

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Developments in Applied Spectroscopyelopment of not only properties for the functions themselves, but also new conditions for the impulsive systems, which suppose to admit the solutions. If the theory of almost periodic functions has been developed in the last chapter, the present chapter considers conditions for linear and quasilinea

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