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2018 | OriginalPaper | Chapter

3. Chaotic Time-Delayed System with Hard Nonlinearity: Design and Characterization

Authors : Debabrata Biswas, Tanmoy Banerjee

Published in: Time-Delayed Chaotic Dynamical Systems

Publisher: Springer International Publishing

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Abstract

In Chap. 2, we have discussed two chaotic time-delayed systems.

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Footnotes
1
It is important to note that, unlike ordinary differential equations (ODE), the condition of existence and uniqueness of limit cycle in delay differential equations is not necessarily determined by the Lipschitz condition, but it has been discussed in the literature [38, 130] that there exist limit cycles in a time-delayed system even if the system is discontinuous. In Ref. [130], it has been shown that the existence of solutions of functional differential equation with discontinuous nonlinearity exists. Reference [38] proved that the nonlinearity in delay differential equations need not be continuous or monotone to have existence of limit cycle.
 
Metadata
Title
Chaotic Time-Delayed System with Hard Nonlinearity: Design and Characterization
Authors
Debabrata Biswas
Tanmoy Banerjee
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-70993-2_3