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A Few Other Interesting Chaotic Delay Differential Equations

  • M. Lakshmanan
  • D.V. Senthilkumar
Chapter
Part of the Springer Series in Synergetics book series (SSSYN)

Abstract

One of the well known properties of DDEs is that their effective dimensions increase with the delay time τ[1, 2], see Sect. 1.2.2. This allows one to select different values (sufficiently large) for the delay time τ to generate high-dimensional chaotic signals. Hence, in recent times DDEs have received increased attention in the nonlinear dynamics literature due to the possibility of generating more complex and high-dimensional chaotic attractors and also because of the feasibility of their experimental realization. Therefore, several chaotic time-delay systems and their variants have been proposed during the past few years for generating and enhancing complexity of chaotic behavior in various technological and engineering applications. In this chapter, we will briefly review the dynamical properties of some of the most important first order scalar nonlinear time-delay systems, that have been widely used in the literature, exhibiting chaotic/hyperchaotic behaviors. In addition, we will also present some of the interesting coupled (higher order) delay differential equations in different areas of science and technology.

Keywords

Chaotic Dynamic Chaotic Attractor Delay Differential Equation Cellular Neural Network Chaos Synchronization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Centre for Nonlinear Dynamics, Bharathidasan UniversityTiruchirapalliIndia
  2. 2.Transdisciplinary Concepts and Methods, Potsdam Institute for Climate Impact ResearchPotsdamGermany

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