Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

Modern financial markets are characterized by a rapid flow of information, a vast number of
participants having diversified investment horizons, and multiple feedback mechanisms …

The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

Abstract Machine learning algorithms have been applied widely in the fields of natural
science, social science and engineering. It can be expected that machine learning …

多维分形模型不仅采用常规的低阶矩统计, 而且采用高阶矩统计对多维分形分布进行度量,
从而能较细致地刻划正常值以及异常值. 地球化学元素的正常值往往服从统计学中的大数定量 …

Of all words that have some degree of specialized scientific meaning, scale is one of the
most ambiguous and overworked. Webster devotes over half a column to the meaning of the …

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students
taking a first course in the subject. The presentation stresses analytical methods, concrete …

With the use of a quantity normally scaled in multifractals, a generalized form is postulated
for entropy, namely S q≡ k [1–∑ i= 1 W piq]/(q-1), where q∈ ℝ characterizes the …

A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …