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Period-doubling critical behavior

BT - Bi-Tricritical

alphabet


Description

Two period-doubling subsystems, Feigenbaum criticality in the master, and tricritical in the slave, with unidirectional coupling.

RG equation

The fixed point

The orbital scaling factors

Critical multipliers

Relevant eigenvalues:

Codimension
restr.= 3 (complete CoDim unknown)

Example

 

Basic model

at Q=0.375:

 

Scaling of the parameter plane with factors


show enlarged figure

 

Scaling of the bitricritical attractor with factors


show enlarged figure

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Saratov group
of theoretical nonlinear
dynamics
Хостинг от uCoz