Work

Mapping chaos: Bifurcation patterns and shrimp structures in the Ikeda map

Year: 2024

Type: article

Abstract: This study examines the dynamical properties of the Ikeda map, with a focus on bifurcations and chaotic behavior. We investigate how variations in dissipation parameters influence the system, uncovering shrimp-shaped structures that represent intricate transitions between regular and chaotic dynamics. Key findings include the analysis of period-doubling bifurcations and the onset of chaos. We utilize Lyapunov exponents to distinguish between stable and chaotic regions. These insights contribute to a deeper understanding of nonlinear and chaotic dynamics in optical systems.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0238147

Author: Diego F. M. Oliveira

Institution: University of North Dakota

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Friedrich-Alexander-Universität Erlangen-Nürnberg

OpenAlex ID: W4405171610

FWCI: 7.157

Cites: 48

Cited by: 11

Related to: 10