On new chaotic and hyperchaotic systems: A literature survey

Abstract

This paper provides a thorough survey of new chaotic and hyperchaotic systems. An analysis of the dynamic behavior of these complex systems is presented by pointing out their originality and elementary characteristics. Recently, such systems have been increasingly used in various fields such as secure communication, encryption and finance and so on. In practice, each field requires specific performances with peculiar complexity. A particular classification is then proposed in this paper based on the Lyapunov exponent, the equilibriums points and the attractor forms.

Complex Dynamics in a Memcapacitor-Based Circuit

“…Figure 5 a shows the Poincaré map on z = 0 and Figure 5 b shows the Poincaré maps with initial condition v 2 (0) varying in the range of (−0.08, 0.08), showing that the system’s dynamic behaviors were affected by initial conditions. All the above results verified that System (8) is chaotic [ 23 ].…”

Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

“…Referring to the survey paper [24], the first Lyapunov exponent can be one of the comparative criteria between hyperchaotic systems. Table 3 presents a comparative analysis between system (1) and two related ones, recently proposed in literature.…”

A model-based velocity controller for chaotization of flexible joint robot manipulators

“…Some interesting works dealing with parameter identification are covered by Boubaker and Iriarte 73 and Lassoued and Boubaker. 74 In addition, the improvements in the chaotization of FJR manipulators when using robust controllers can be verified. 73 Finally, other studies related to real-world applications of chaotic systems can be found in Boubaker and Jafary.…”