Work

Controlling the transition between the Turing and antispiral patterns by using time-delayed-feedback

Year: 2011

Type: preprint

Abstract: The controllable transition between the Turing and antispiral patterns is studied by using time-delayed-feedback strategy in a FitzHugh-Nagumo model. We treat the time delay as perturbation and analyze the effect of the time delay on the Turing and Hopf instabilities near the Turing-Hopf codimension-two phase space. Numerical simulations show the transition between the Turing patterns (hexagon, stripe, and honeycomb), the dual-mode antispiral, and the antispiral by applying appropriate feedback parameters. The dual-mode antispiral pattern originates from the competition between the Turing and Hopf instabilities. Our results have shown the flexibility of the time delay on controlling the pattern formations near the Turing-Hopf codimension-two phase space.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1108.0450

Authors: Ya-Feng, He, Fu-Cheng, Liu, Wei-Li, Fan, Li-Fang, Dong

Institution: Hebei University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hebei Province, Hebei University

Award: G5067581603

OpenAlex ID: W1590415019

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