On The Correlation between Properties of One-Dimensional Mappings of Control Functions and Chaos in a Special Type Delay Differential Equation
2017 ◽
Vol 12
(2)
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pp. 385-397
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Keyword(s):
The One
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A differential equation of a special form, which contains two control functions f and g and one delayed argument, is analyzed. This equation has a wide application in biology for the description of dynamic processes in population, physiological, metabolic, molecular-genetic, and other applications. Specific numerical examples show the correlation between the properties of the one-dimensional mapping, which is generated by the ratio f /g, and the presence of chaotic dynamics for such equation. An empirical criterion is formulated that allows one to predict the presence of a chaotic potential for a given equation by the properties of the one-dimensional mapping f /g.
2013 ◽
Vol 785-786
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pp. 1418-1422
2007 ◽
Vol 21
(02n03)
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pp. 139-154
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2013 ◽
Vol 2
(3)
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pp. 17-22
1994 ◽
Vol 26
(04)
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pp. 1022-1043
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2005 ◽
Vol 2005
(1)
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pp. 61-74
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1990 ◽
Vol 6
(4)
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pp. 311-319
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