Work

Dynamics and Bifurcations in Fractional Lozi Map

Year: 2024

Type: article

Abstract: We propose a fractional version of the Lozi map. The Lozi map is quite similar to the Henon map except that the square term of the Henon map is replaced by a linear term in the Lozi map. This map is known to be analytically tractable. The fractional version of the Lozi map displays rich dynamical behaviour. In this work, we carry out a time-series analysis of the map and present the bifurcation diagrams along with attractors for different parametric values of the map for various values of fractional order parameter (α).

Source: Contemporary Mathematics

DOI: 10.37256/cm.5220242423

Authors: Sumit S. Pakhare, Prashant M. Gade

Institutions: Priyadarshini College of Engineering, Rashtrasant Tukadoji Maharaj Nagpur University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Science and Engineering Research Board

Awards: G2942525604, G3065434604