# Solitonic Fixed Point Attractors in the Complex Ginzburg–Landau Equation for Associative Memories

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## Abstract

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## 1. Introduction

## 2. The Complex Ginzburg–Landau Equation

## 3. Solitonic Fixed Point Attractors

## 4. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 2.**Evolution of soliton amplitude (

**a**) and velocity (

**b**) with time. Comparison of perturbation theory (red solid line) with numerical solution (blue dot line) for $\u03f5=0.001$. Parameters of initial soliton are $a=1,\xi =\frac{4}{5}$ and dissipative parameters are $A=3.5,B=C=1$.

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**MDPI and ACS Style**

Pyrkov, A.N.; Byrnes, T.; Cherny, V.V.
Solitonic Fixed Point Attractors in the Complex Ginzburg–Landau Equation for Associative Memories. *Symmetry* **2020**, *12*, 24.
https://doi.org/10.3390/sym12010024

**AMA Style**

Pyrkov AN, Byrnes T, Cherny VV.
Solitonic Fixed Point Attractors in the Complex Ginzburg–Landau Equation for Associative Memories. *Symmetry*. 2020; 12(1):24.
https://doi.org/10.3390/sym12010024

**Chicago/Turabian Style**

Pyrkov, Alexey N., Tim Byrnes, and Valentin V. Cherny.
2020. "Solitonic Fixed Point Attractors in the Complex Ginzburg–Landau Equation for Associative Memories" *Symmetry* 12, no. 1: 24.
https://doi.org/10.3390/sym12010024