On the dynamics of the q-Tsallis Gauss Iterated Map

Physica A Statistical Mechanics and its Applications 2026 Open access

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Authors: Daniel Borin, Matheus Rolim Sales, Edson Denis Leonel, Diego Fregolent Mendes de Oliveira
DOI: 10.1016/j.physa.2026.131352
Cited by: 2
References: 53

Abstract

We investigate the dynamical properties of a q-deformed generalization of the Gaussian iterated map, referred to as the q-Tsallis Gaussian Iterated Map, obtained by replacing the standard exponential with the Tsallis q-exponential function. Through bifurcation diagrams, Lyapunov exponent analysis, and isoperiodic diagrams, we characterize the transitions between periodic and chaotic regimes, as well as the emergence of multistability and bubbling phenomena, reveals that the introduction of the nonextensive parameter induces significant changes in the system’s dynamics.

Fields of Study & Subjects

Statistical Mechanics and Entropy Mathematical Dynamics and Fractals Advanced Mathematical Theories and Applications

Publication details

Journal / source
Physica A Statistical Mechanics and its Applications
Publisher
Elsevier BV
Volume
686
Pages
131352–131352
Publication date
4 February 2026
Language
EN