A new five dimensional hyperchaotic system and its fractional order form

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

In this paper, a new five-dimensional hyperchaotic system by introducing two additional states feedback into a three-dimensional smooth chaotic system. With three nonlinearities, this system has more than one positive Lyapunov exponents. Based on the fractional derivative theory, the fractional-order form of this new hyperchaotic system has been investigated. Through predictor-corrector algorithm, the system is proved by numerical simulation analysis. Simulation results are provided to illustrate the performance of the fractional-order hyperchaotic attractors well.

Original languageEnglish
Title of host publicationIntelligent Materials and Mechatronics
Pages375-380
Number of pages6
DOIs
StatePublished - 2014
Event2013 International Conference on Intelligent Materials and Mechatronics, IMM 2013 - , Hong Kong
Duration: 1 Nov 20132 Nov 2013

Publication series

NameApplied Mechanics and Materials
Volume464
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Conference

Conference2013 International Conference on Intelligent Materials and Mechatronics, IMM 2013
Country/TerritoryHong Kong
Period1/11/132/11/13

Keywords

  • Fractional derivative
  • Fractional-order hyperchaos
  • Hyperchaotic system
  • Predictor corrector

Fingerprint

Dive into the research topics of 'A new five dimensional hyperchaotic system and its fractional order form'. Together they form a unique fingerprint.

Cite this