Reduction Method for Search of Chaotic Attractors in Generic Autonomous Quadratic Dynamical Systems
2017 ◽
Vol 27
(03)
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pp. 1750036
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Keyword(s):
The search method of chaotic attractors for arbitrary [Formula: see text]-dimensional autonomous quadratic dynamical system, which contains at least two nonlinear equations, is presented. This method allows to reduce the search problem to that of chaotic attractors for some two-dimensional nonautonomous quadratic dynamical system with periodic coefficients. Examples of new chaotic attractors in 4D hyperchaotic Rabinovich system and 5D chaotic system arising from double-diffusive convection in a fluid layer, which were found by the Reduction Method, are given.
1991 ◽
pp. 655-672
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Keyword(s):
Effect of thermal modulation on the onset of double diffusive convection in a horizontal fluid layer
2005 ◽
Vol 44
(4)
◽
pp. 323-332
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2003 ◽
Vol 42
(2)
◽
pp. 141-151
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Keyword(s):
2016 ◽
Vol 85
(4)
◽
pp. 044403
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2006 ◽
Vol 61
(7-8)
◽
pp. 335-344
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1997 ◽
Vol 40
(3)
◽
pp. 711-725
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