Related Experiment Video
Updated: Jul 17, 2025

A Technique to Screen American Beech for Resistance to the Beech Scale Insect Cryptococcus fagisuga Lind.
Published on: May 27, 2014
Feigenbaum scenario without parameters
Ivan A Korneev1, Ibadulla R Ramazanov1, Andrei V Slepnev1
1Institute of Physics, Saratov State University, Astrakhanskaya str. 83, 410012 Saratov, Russia.
Abstract:
Typically, the period-doubling bifurcations exhibited by nonlinear dissipative systems are observed when varying systems' parameters. In contrast, the period-doubling bifurcations considered in the current research are induced by changing the initial conditions, whereas parameter values are fixed. Thus, the studied bifurcations can be classified as the period-doubling bifurcations without parameters. Moreover, we show a cascade of the period-doubling bifurcations without parameters, resulting in a transition to deterministic chaos. The explored effects are demonstrated by means of numerical modeling on an example of a modified Anishchenko-Astakhov self-oscillator where the ability to exhibit bifurcations without parameters is associated with the properties of a memristor. Finally, we compare the dynamics of the ideal-memristor-based oscillator with the behavior of a model taking into account the memristor forgetting effect.
More Related Videos
Related Concept Videos
Survival Tree
Building a Survival Tree
Constructing a...
Wald-Wolfowitz Runs Test II
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and...
Ethical Dilemmas II
Factorial Design
Wald-Wolfowitz Runs Test I
The test works...
Benzene to 1,4-Cyclohexadiene: Birch Reduction Mechanism

