Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499634 | Chaos, Solitons & Fractals | 2016 | 13 Pages |
Abstract
This review paper aims at answering a basic question on the sign of Lyapunov exponents. A few recent papers reported hyperchaotic system having the sign of Lyapunov exponents as (+, +, â, â). Such (+, +, â, â) sign of Lyapunov exponents is in contradiction with the well known (+, +, 0, â) sign of Lyapunov exponents for a 4-D hyperchaotic system. This paper thus discusses various issues related to Lyapunov exponents and proves that the reported sign of (+, +, â, â) Lyapunov exponents is actually (+, +, 0, â) or (+, 0, â, â). This clarification is very important and essential since Lyapunov exponents are the only quantitative measure for the existence of hyperchaos. Three different algorithms are used for calculating the Laypunov exponents to prove the actual sign of Lyapunov exponents for a hyperchaotic system.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Jay Prakash Singh, B.K. Roy,