Improving the Complexity of the Lorenz Dynamics
Joint Authors
Mareca, María Pilar
Bordel, Borja
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-10
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A new four-dimensional, hyperchaotic dynamic system, based on Lorenz dynamics, is presented.
Besides, the most representative dynamics which may be found in this new system are located in the phase space and are analyzed here.
The new system is especially designed to improve the complexity of Lorenz dynamics, which, despite being a paradigm to understand the chaotic dissipative flows, is a very simple example and shows great vulnerability when used in secure communications.
Here, we demonstrate the vulnerability of the Lorenz system in a general way.
The proposed 4D system increases the complexity of the Lorenz dynamics.
The trajectories of the novel system include structures going from chaos to hyperchaos and chaotic-transient solutions.
The symmetry and the stability of the proposed system are also studied.
First return maps, Poincaré sections, and bifurcation diagrams allow characterizing the global system behavior and locating some coexisting structures.
Numerical results about the first return maps, Poincaré cross sections, Lyapunov spectrum, and Kaplan-Yorke dimension demonstrate the complexity of the proposed equations.
American Psychological Association (APA)
Mareca, María Pilar& Bordel, Borja. 2017. Improving the Complexity of the Lorenz Dynamics. Complexity،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1142694
Modern Language Association (MLA)
Mareca, María Pilar& Bordel, Borja. Improving the Complexity of the Lorenz Dynamics. Complexity No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1142694
American Medical Association (AMA)
Mareca, María Pilar& Bordel, Borja. Improving the Complexity of the Lorenz Dynamics. Complexity. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1142694
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142694