Τίτλος:
Hyperchaotic Attractor in a Novel Hyperjerk System with Two Nonlinearities
Γλώσσες Τεκμηρίου:
Αγγλικά
Περίληψη:
Hyperjerk systems have received considerable interest in the literature because of their simplicity and complex dynamical properties. In this work, we introduce a novel hyperjerk system with an absolute nonlinearity and a quintic term. Interestingly, the hyperjerk system exhibits hyperchaotic behavior. Dynamics and the feasibility of the hyperjerk system are discovered by using numerical analysis and circuit implementation. Moreover, adaptive controllers have been designed for stabilization and synchronization of the new hyperjerk system. The control results have been established by using Lyapunov stability theory, and numerical simulations with MATLAB have been shown to illustrate the validity of the constructed adaptive controllers. © 2017, Springer Science+Business Media New York.
Συγγραφείς:
Daltzis, P.
Vaidyanathan, S.
Pham, V.-T.
Volos, C.
Nistazakis, E.
Tombras, G.
Περιοδικό:
Circuits, Systems, and Signal Processing
Εκδότης:
Birkhauser Boston
Λέξεις-κλειδιά:
Control engineering; Controllers; Dynamics; MATLAB; Networks (circuits); Synchronization, Adaptive controllers; Circuit implementation; Dynamical properties; Hyperchaos; Hyperchaotic; Hyperjerk systems; Lyapunov stability theory; Quintic, Adaptive control systems
DOI:
10.1007/s00034-017-0581-y
