Work

Rich Dynamics Caused by a Fractional Diffusion Operator in Nonchaotic Rulkov Maps

Year: 2024

Type: article

Abstract: There are few works about Neimark–Sacker bifurcating analysis on discrete dynamical systems with linear diffusion and delayed coupling under periodic/Neumann-boundary conditions. In this paper, we build up the framework for Neimark–Sacker bifurcations caused by Turing instability on high-dimensional discrete-time dynamical systems with symmetrical property in the linearized system. The fractional diffusion operator in higher-dimensional discrete dynamical systems is introduced and regular/chaotic Turing patterns are discovered by the computation of the largest Lyapunov exponents.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8120716

Authors: Huanqin Hu, Mingshu Peng, Yingfei Qi

Institution: Beijing Jiaotong University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funder: National Natural Science Foundation of China