Analysis, Synchronization, and Robotic Application of a Modified Hyperjerk Chaotic System
Lazaros Moysis,
Eleftherios Petavratzis,
Muhammad Marwan,
Christos Volos,
Hector Nistazakis,
Salman Ahmad
Affiliations
Lazaros Moysis
Laboratory of Nonlinear Systems-Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Eleftherios Petavratzis
Laboratory of Nonlinear Systems-Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Muhammad Marwan
Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan
Christos Volos
Laboratory of Nonlinear Systems-Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Hector Nistazakis
Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, Greece
Salman Ahmad
Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, Pakistan
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.
