Analysis of a New Quadratic 3D Chaotic Attractor
A new three-dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor is topologically different from some well-known systems. Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/540769 |
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| Summary: | A new three-dimensional chaotic system is introduced.
Basic properties of this system show that its corresponding attractor is
topologically different from some well-known systems. Next, detailed information
on dynamic of this system is obtained numerically by means of Lyapunov
exponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. We
finally prove existence of this chaotic attractor theoretically using Shil’nikov
theorem and undetermined coefficient method. |
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| ISSN: | 1085-3375 1687-0409 |