Journal ArticleDOI
2 × 2-scroll attractors generated in a three-dimensional smooth autonomous system
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TLDR
A three-dimensional continuous-time smooth autonomous system with quadratic nonlinear terms is proposed for generating multiscroll chaotic attractors and observation of 2 × 2-scroll attractors generated from this kind of system is reported for the first time.Abstract:
In this letter, a three-dimensional continuous-time smooth autonomous system with quadratic nonlinear terms is proposed for generating multiscroll chaotic attractors. Observation of 2 × 2-scroll attractors generated from this kind of system is reported for the first time. The result is confirmed by both numerical simulations and electronic circuit experiments.read more
Citations
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Journal ArticleDOI
A novel three-dimensional autonomous chaotic system generating two, three and four-scroll attractors
Sara Dadras,Hamid Reza Momeni +1 more
TL;DR: In this article, a novel three-dimensional autonomous chaotic system is proposed, which can generate two, three and four-scroll chaotic attractors with variation of a single parameter, and the obtained results clearly show that this is a new chaotic system which deserves further detailed investigation.
Journal ArticleDOI
Automatic synthesis of 2D‐n‐scrolls chaotic systems by behavioral modeling
TL;DR: In this article, a guia for sintetizar sistemas caoticos in 2D a traves de descripciones of alto nivel is introduced.
Journal ArticleDOI
Constructing multiwing hyperchaotic attractors
TL;DR: A simple construction method, for designing chaotic system with multiwing attractors with both multiwing topological structure and hyperchaotic dynamics, is proposed.
Journal ArticleDOI
New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model
TL;DR: It is shown that the chaotic behavior of any 3-D autonomous systems of quadratic differential equations can be described by the Ricker discrete population model.
Journal ArticleDOI
A New Four-Scroll Chaotic Attractor Consisted of Two-Scroll Transient Chaotic and Two-Scroll Ultimate Chaotic
TL;DR: In this article, a new four-scroll chaotic attractor is found by feedback controlling method, which can generate four scrolls two of which are transient chaotic and the other two being ultimate chaotic.
References
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Journal ArticleDOI
Generating Multiscroll Chaotic Attractors: Theories, Methods and Applications
Jinhu Lu,Guanrong Chen +1 more
TL;DR: Over the last two decades, theoretical design and circuit implementation of various chaos generators have been a focal subject of increasing interest due to their promising applications in various ...
Journal ArticleDOI
Generation of n-scroll attractors via sine function
TL;DR: In this article, it is demonstrated that n-scroll attractors can be generated using a simple sine or cosine function and a guideline is given so that a different number of scrolls can be designed easily by modifying two variables in the function.
Journal ArticleDOI
A new chaotic system and its generation
Wenbo Liu,Guanrong Chen +1 more
TL;DR: This Letter introduces a relatively simple three-dimensional continuous autonomous chaotic system, which can display complex 2- and 4-scroll attractors in simulations.
Journal ArticleDOI
Creation of a complex butterfly attractor using a novel Lorenz-Type system
TL;DR: In this paper, a novel Lorenz-type system of nonlinear differential equations is proposed, where the chaotic dynamics remain confined to the positive half-space with respect to the Z state variable due to a limiting threshold effect, the proposed system enables bipolar swing of this state variable.
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