Universal bicritical behavior of period doublings in unidirectionally coupled oscillators (Q2774291)
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scientific article; zbMATH DE number 1713558
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal bicritical behavior of period doublings in unidirectionally coupled oscillators |
scientific article; zbMATH DE number 1713558 |
Statements
6 November 2002
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bicritical scaling behaviour
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period doublings
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coupled oscillators
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hyperchaos
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hyperchaotic attractor
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transition to chaos
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Universal bicritical behavior of period doublings in unidirectionally coupled oscillators (English)
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The authors deal with the bicritical scaling behaviour of period doublings in unidirectionally coupled oscillators to confirm the universality of the bicriticality in an abstract system of the unidirectionally coupled 1D maps. They show that a transition to hyperchaos occurs (that is, a hyperchaotic attractor with two positive Lyapunov exponents appears) when crossing a bicritical point where two Feigenbaum critical lines of a period-doubling transition to chaos in the two subsystems meet.
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