Analysis, Synchronization, and Robotic Application of a Modified Hyperjerk Chaotic System

Author:

Moysis Lazaros1ORCID,Petavratzis Eleftherios1,Marwan Muhammad2,Volos Christos1ORCID,Nistazakis Hector3ORCID,Ahmad Salman2

Affiliation:

1. Laboratory of Nonlinear Systems-Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

2. Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan

3. Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, Greece

Abstract

In this work, a novel hyperjerk system, with hyperbolic sine function as the only nonlinear term, is proposed, as a modification of a hyperjerk system proposed by Leutcho et al. First, a dynamical analysis on the system is performed and interesting phenomena concerning chaos theory, such as route to chaos, antimonotonicity, crisis, and coexisting attractors, are studied. For this reason, the system’s bifurcation diagrams with respect to different parameter values are plotted and its Lyapunov exponents are computed. Afterwards, the synchronization of the system is considered, using active control. The proposed system is then applied, as a chaotic generator, to the problem of chaotic path planning, using a combination of sampling and a modulo tactic technique.

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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