Hyperchaos in a three-dimensional non-autonomous system

Title

Hyperchaos in a three-dimensional non-autonomous system

Creator

Francis, Roxanne; Narayana, Mahesha; Siddheshwar, P.G.

Description

This paper extends the weakly nonlinear stability analysis reported by Francis et al. [J. Eng. Math. 139, 5 (2023)] to cover post-convective regimes of the gravity-modulated Rayleigh-Bard convection in a Newtonian liquid, bounded by rigid-free isothermal boundaries. Weakly nonlinear stability analysis is performed by considering second harmonics in the Fourier series expansion of temperature, while the second harmonics in the velocity field is neglected owing to the assumption of small-scale convective motions. The occurrence of hyperchaos within the three-dimensional non-autonomous system is observed, induced by modulation, emerging for varying, random combinations of frequency and amplitude values. This result has not been reported in the literature before, to the best of the authors' knowledge. Bifurcation analysis is carried out for varying combinations of modulation parameters. It is found that gravity modulation, in general, stabilizes the convective system under consideration. 2025 Author(s).

Source

Physics of Fluids;Volume;37;Issue;6;Article No.;64116;

Date

01-01-2025

Publisher

American Institute of Physics

Coverage

Francis R., Department of Mathematics, The University of the West Indies, Mona Kingston, Jamaica; Narayana M., Department of Mathematics, The University of the West Indies, Mona Kingston, Jamaica; Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, Christ University, Karnataka, Bengaluru, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 10706631; CODEN: PHFLE

Format

online

Language

English

Type

Article

Identifier

https://doi.org/10.1063/5.0272799

https://www.scopus.com/pages/publications/105008992458?origin=resultslist