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- Title
Analysis, Synchronization, and Robotic Application of a Modified Hyperjerk Chaotic System.
- Authors
Moysis, Lazaros; Petavratzis, Eleftherios; Marwan, Muhammad; Volos, Christos; Nistazakis, Hector; Ahmad, Salman
- 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.
- Subjects
LYAPUNOV exponents; SYNCHRONIZATION; NONLINEAR functions; SINE function; DYNAMICAL systems; BIFURCATION diagrams; POLYNOMIAL chaos; LYAPUNOV stability
- Publication
Complexity, 2020, p1
- ISSN
1076-2787
- Publication type
Article
- DOI
10.1155/2020/2826850