Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Sherly, K.; Veeresha, P.; Bade, Mahesh Title A name given to the resource Nonlinear Dynamics and Control of Driven Climate Variability and Ocean Heat Feedbacks Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2026 Source A related resource from which the described resource is derived Earth Systems and Environment; Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/s41748-026-01186-4" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/s41748-026-01186-4</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105040256957?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105040256957?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Sherly K., Department of Mathematics, CHRIST University, Bengaluru, 560029, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST University, Bengaluru, 560029, India; Bade M., Department of Environmental Science, Baylor University, Waco, 76706, TX, United States Description An account of the resource Abstract: Earths climate system is a highly complex and interconnected network governed by nonlinear interactions among the atmosphere, oceans, land, ice, and biosphere, where energy exchanges and feedback mechanisms play a dominant role. In recent decades, anthropogenic greenhouse gas emissions, especially carbon dioxide (), have significantly disrupted this balance, resulting in accelerated ocean heat uptake and persistent temperature anomalies. Determining the long-term dynamics of these interactions remains a critical challenge for accurate climate prediction and mitigation planning. This paper examines the combined dynamics of temperature anomaly, atmospheric concentration, and ocean heat content (OHC) using a novel mathematical approach. By employing the Caputo derivative to describe the model as a fractional-order dynamical system, hereditary effects and long-term dependencies that are inherent in climatic processes can be incorporated. Boundedness, existence and uniqueness of solutions, and both local and global stability are among the fundamental qualitative characteristics of the system that are investigated. To further illustrate stability behavior, streamline graphs are plotted. To ensure an accurate approximation of the fractional dynamics, numerical simulations are conducted using the Adams Bashforth Moulton (ABM) predictorcorrector method. Bifurcation analysis and computations of the Lyapunov exponent are performed to investigate the nonlinear properties of the system, exposing parameter regimes that behave chaotically for different fractional orders. Phase portraits in 2D and 3D show the intricate history of the climate variables. Additionally, to control chaotic oscillations, a sliding mode control approach is used. The findings highlight the promise of control theoretic techniques in climate dynamics by showing that the system is stabilized and chattering is successfully eliminated with the right control parameters. The results demonstrate that the fractional-order formulation provides enhanced capability in capturing long-term dependencies and nonlinear feedback mechanisms inherent in climate dynamics. The overall results show the models robustness as a theoretical framework for climate analysis and offer quantitative insights into the coupled climate systems long-term behavior. The models incorporation of nonlinear interactions among important variables improves the models interpretability and gives a more accurate picture of climate dynamics, which strengthens the foundation for assessing the effects of emissions and guiding the formulation of climate policy. King Abdulaziz University and Springer Nature Switzerland AG 2026. Subject The topic of the resource Adams Bashforth Moulton Method (ABM); GHG Concentration of; Ocean Heat Content (OHC); Sliding Mode Controller (SMC); Streamline Plots; Temperature Anomaly Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Relation A related resource ISSN: 25099426; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online