A Glimpse of Stability, Bifurcation, and Chaos in the Generalized Koren-Feingold Cloud-Rain System with Time Delay in Rain Formation

A Glimpse of Stability, Bifurcation, and Chaos in the Generalized Koren-Feingold Cloud-Rain System with Time Delay in Rain Formation | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 21 April 2025 V1 Latest version Share on A Glimpse of Stability, Bifurcation, and Chaos in the Generalized Koren-Feingold Cloud-Rain System with Time Delay in Rain Formation Authors : Prosanjit Kumar Pramanic , Purnendu Sardar , Saroj Sahani 0000-0002-8707-033X , and Krishna Das 0009-0000-1292-3871 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174521535.54210822/v1 250 views 157 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This study presents a comprehensive analysis of stability, bifurcation, and chaotic dynamics in the generalized Koren-Feingold cloud-rain system, incorporating time delay in rain formation. The model is analyzed analytically by determining the existence and stability of equilibrium points, proving the occurrence of the double Hopf bifurcation. Our results demonstrate that time delay plays a crucial role in dictating the dynamical transitions of the system. A small delay maintains system stability, whereas an increase beyond a critical threshold induces periodic oscillations through a Hopf bifurcation. Further increments lead to period-doubling bifurcations, chaotic attractors, and intermittent oscillatory regimes, demonstrating the formation of intricate meteorological phenomena. Numerical simulations reinforce these findings, illustrating that prolonged delays can lead to persistent cloud formation, irregular precipitation patterns, and chaotic fluctuations in the dynamics of rain. These insights deepen our understanding of cloud-rain interactions and provide valuable implications for improving weather prediction models, particularly in capturing extreme precipitation events influenced by atmospheric memory effects. Supplementary Material File (prosenjit_1.pdf) Download 1.81 MB Information & Authors Information Version history V1 Version 1 21 April 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords chaos cloud dynamics hopf-bifurcation stability analysis time delay weather model Authors Affiliations Prosanjit Kumar Pramanic South Asian University Department of Mathematics View all articles by this author Purnendu Sardar Jadavpur University View all articles by this author Saroj Sahani 0000-0002-8707-033X South Asian University Department of Mathematics View all articles by this author Krishna Das 0009-0000-1292-3871 [email protected] Mahadevananda Mahavidyalaya View all articles by this author Metrics & Citations Metrics Article Usage 250 views 157 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Prosanjit Kumar Pramanic, Purnendu Sardar, Saroj Sahani, et al. A Glimpse of Stability, Bifurcation, and Chaos in the Generalized Koren-Feingold Cloud-Rain System with Time Delay in Rain Formation. Authorea . 21 April 2025. DOI: https://doi.org/10.22541/au.174521535.54210822/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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