Analysis and circuit implementation of a new 4D chaotic system
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Pages (from-to) | 386-397 |
Journal / Publication | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 352 |
Issue number | 4-5 |
Publication status | Published - 3 Apr 2006 |
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Abstract
This Letter contains three parts. First, it analyzes some basic properties of a new complex four-dimensional (4D) continuous autonomous chaotic system, in which each equation contains a cubic cross-product term. The new system has 9 equilibria, which display graceful symmetry with respect to the origin and the coordinate planes, and they have similarity associated with their linearized characteristics and along with invariant manifolds. Second, under constant control, the system displays (i) two coexisting symmetric double-wing chaotic attractors simultaneously, and (ii) two coexisting asymmetric double-wing and two coexisting single-wing attractors including chaotic, period-doubling, and periodic orbits. The evolution process of an attractor from double-wing to single-wing is investigated via a distribution diagram of equilibria and bifurcation diagrams of the system states. Finally, several circuits are built for different configurations of the new system, which show a good agreement between computer simulations and experimental results, revealing some important distinctions in applications arising from different frequencies used. © 2005 Elsevier B.V. All rights reserved.
Research Area(s)
- Circuit implementation, Double-wing chaotic attractor, Four-dimensional chaotic system, Hopf bifurcation, Lyapunov exponent, Pitchfork bifurcation, Single-wing chaotic attractor
Citation Format(s)
Analysis and circuit implementation of a new 4D chaotic system. / Qi, Guoyuan; Chen, Guanrong.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 352, No. 4-5, 03.04.2006, p. 386-397.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 352, No. 4-5, 03.04.2006, p. 386-397.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review