Unveiling stabilization mechanisms in a chaotic fractional Cryosphere model

Title

Unveiling stabilization mechanisms in a chaotic fractional Cryosphere model

Creator

Chakraborty A.; Veeresha P.

Description

This article investigates the influence of chaos control and time delay on a chaotic surface energy balance-mass balance model of the Cryosphere. This research delves into the effectiveness of employing the active control method to stabilize chaotic systems with different fractional orders. Moreover, the investigation uncovers a noteworthy aspect of system dynamics, highlighting the role of time delay as a stabilizing element in chaotic systems. The generalized predictor-corrector method has been used to solve the fractional delayed and non-delayed systems. Numerical simulations show that the addition of time lag confers stability to the chaotic model for fractional orders ? = 1 and 0.95. Remarkably, for ? = 0.90, 0.85, 0.80 and 0.75, the delayed model transitions into an asymptotically stable state, revealing the significant stabilizing effect of time delay. CSP - Cambridge, UK; I&S - Florida, USA, 2024

Source

Mathematics in Engineering, Science and Aerospace, Vol-15, No. 1, pp. 5-14.

Date

2024-01-01

Publisher

Cambridge Scientific Publishers

Subject

chaos control; mass balance; predictor-corrector method; Surface energy balance; time delay

Coverage

Chakraborty A., CHRIST (Deemed to be University), Department of Mathematics, Bengaluru, 560029, India; Veeresha P., CHRIST (Deemed to be University), Department of Mathematics, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 20413165

Format

Online

Language

English

Type

Article

Identifier

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191162627&partnerID=40&md5=d8ed4792f0e1e5b7d932f8b10ea80d2a