Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Chaotic attractors with separated scrolls

Journal Article · · Chaos (Woodbury, N. Y.)
DOI:https://doi.org/10.1063/1.4923302· OSTI ID:22483216
 [1]
  1. Department of Electrical Engineering, Higher Institute of Applied Sciences and Technology of Sousse, Sousse (Tunisia)

This paper proposes a new behavior of chaotic attractors with separated scrolls while combining Julia's process with Chua's attractor and Lorenz's attractor. The main motivation of this work is the ability to generate a set of separated scrolls with different behaviors, which in turn allows us to choose one or many scrolls combined with modulation (amplitude and frequency) for secure communication or synchronization. This set seems a new class of hyperchaos because each element of this set looks like a simple chaotic attractor with one positive Lyapunov exponent, so the cardinal of this set is greater than one. This new approach could be used to generate more general higher-dimensional hyperchaotic attractor for more potential application. Numerical simulations are given to show the effectiveness of the proposed theoretical results.

OSTI ID:
22483216
Journal Information:
Chaos (Woodbury, N. Y.), Journal Name: Chaos (Woodbury, N. Y.) Journal Issue: 7 Vol. 25; ISSN CHAOEH; ISSN 1054-1500
Country of Publication:
United States
Language:
English

Similar Records

Design and implementation of grid multi-scroll fractional-order chaotic attractors
Journal Article · Mon Aug 15 00:00:00 EDT 2016 · Chaos (Woodbury, N. Y.) · OSTI ID:22596613

A Diagnostic Technique for Generalized Synchronization in Systems with a Complex Chaotic Attractor Topology
Journal Article · Mon Oct 15 00:00:00 EDT 2018 · Technical Physics Letters · OSTI ID:22927912

Extreme multistability in a memristor-based multi-scroll hyper-chaotic system
Journal Article · Fri Jul 15 00:00:00 EDT 2016 · Chaos (Woodbury, N. Y.) · OSTI ID:22596628