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Review and examples of non-Feigenbaum critical situations associated with period-doubling
By: Sataev, I.R.; Kuznetsov, A.P.; Kuznetsov, S.P.;
2005 / IEEE / 0-7803-9235-3
Description
This item was taken from the IEEE Conference ' Review and examples of non-Feigenbaum critical situations associated with period-doubling ' We review several critical situations, linked with period-doubling transition to chaos, which require using at least two-dimensional maps as models representing the universality classes. Each of them corresponds to a saddle solution of the two-dimensional generalization of Feigenbaum-Cvitanovic equation and is characterized by a set of distinct universal constants analogous to Feigenbaum's /spl alpha/ and /spl delta/. We present a number of examples (driven self-oscillators, coupled Henon-like maps, coupled driven oscillators, coupled chaotic self-oscillators), which manifest these types of behavior.
Related Topics
Nonlinear Dynamical Systems
Non-feigenbaum Critical Situation
Period-doubling Transition
Chaos
Two-dimensional Map
Feigenbaum-cvitanovic Equation
Universal Constant
Chaos
Roentgenium
Equations
Oscillators
Control Systems
Nonlinear Systems
Roads
Multidimensional Systems
Bifurcation
Region 8
Reviews
Chaos
Oscillators
Engineering
Saddle Solution