In this text, modern applied mathematics and physical insight are used to construct the simplest and first nonlinear dynamical model for the Madden-Julian oscillation (MJO), i.e. the stochastic skeleton model. This model captures the fundamental features of the MJO and offers a theoretical prediction of its structure, leading to new detailed methods to identify it in observational data. The text contributes to understanding and predicting intraseasonal variability, which remains a challenging task in contemporary climate, atmospheric, and oceanic science. In the tropics, the Madden-Julian oscillation (MJO) is the dominant component of intraseasonal variability.

One of the strengths of this text is demonstrating how a blend of modern applied mathematical tools, including linear and nonlinear partial differential equations (PDEs), simple stochastic modeling, and numerical algorithms, have been used in conjunction with physical insight to create the model. These tools are alsoapplied in developing several extensions of the model in order to capture additional features of the MJO, including its refined vertical structure and its interactions with the extratropics.

This book is of interest to graduate students, postdocs, and senior researchers in pure and applied mathematics, physics, engineering, and climate, atmospheric, and oceanic science interested in turbulent dynamical systems as well as other complex systems.

This book first traces the evolution of Chinese culture, which has a triple structure. It traces back to the economic basis of the formation of Chinese culture and analyzes the pattern of the formation of Chinese civilization. The book goes deep into the level of cultural genes, explores the origin of Chinese culture, and discusses the construction of contemporary Chinese culture in combination with the general trend of historical process.

This book explores the origins of agriculture in China, and the transformation from hunter-gatherer to agriculture producer. Therefore, it reveals the ancient genes of China as an agricultural country and digs into questions like what turning events occurred during the transformative period from hunting-gathering to agricultural production and why the development of agriculture is rapid in some regions while largely delayed in others. This book also introduces various definitions and theoretical methods on the study of agriculture’s origin. It represents the transforming era by simulating prehistoric hunter-gatherer’s survival strategies with data collected from modern weather station. The author also tries to answer questions on the origins of agriculture production in China with comprehensive archeology evidences.

In this text, modern applied mathematics and physical insight are used to construct the simplest and first nonlinear dynamical model for the Madden-Julian oscillation (MJO), i.e. the stochastic skeleton model. This model captures the fundamental features of the MJO and offers a theoretical prediction of its structure, leading to new detailed methods to identify it in observational data. The text contributes to understanding and predicting intraseasonal variability, which remains a challenging task in contemporary climate, atmospheric, and oceanic science. In the tropics, the Madden-Julian oscillation (MJO) is the dominant component of intraseasonal variability.

One of the strengths of this text is demonstrating how a blend of modern applied mathematical tools, including linear and nonlinear partial differential equations (PDEs), simple stochastic modeling, and numerical algorithms, have been used in conjunction with physical insight to create the model. These tools are alsoapplied in developing several extensions of the model in order to capture additional features of the MJO, including its refined vertical structure and its interactions with the extratropics.

This book is of interest to graduate students, postdocs, and senior researchers in pure and applied mathematics, physics, engineering, and climate, atmospheric, and oceanic science interested in turbulent dynamical systems as well as other complex systems.

This book first traces the evolution of Chinese culture, which has a triple structure. It traces back to the economic basis of the formation of Chinese culture and analyzes the pattern of the formation of Chinese civilization. The book goes deep into the level of cultural genes, explores the origin of Chinese culture, and discusses the construction of contemporary Chinese culture in combination with the general trend of historical process.

This book explores the origins of agriculture in China, and the transformation from hunter-gatherer to agriculture producer. Therefore, it reveals the ancient genes of China as an agricultural country and digs into questions like what turning events occurred during the transformative period from hunting-gathering to agricultural production and why the development of agriculture is rapid in some regions while largely delayed in others. This book also introduces various definitions and theoretical methods on the study of agriculture’s origin. It represents the transforming era by simulating prehistoric hunter-gatherer’s survival strategies with data collected from modern weather station. The author also tries to answer questions on the origins of agriculture production in China with comprehensive archeology evidences.