Ondrej Krejcar

Anamika Pandey

Hamidreza Namazi

Fractals

The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development and applications in the past decades. For this relatively short time, geometrical and/or temporal scaling have been shown to represent the common aspects of many processes occurring in an unusually diverse range of fields including physics, mathematics, biology, chemistry, economics, engineering and technology, and human behavior. As a rule, the complex nature of a phenomenon is manifested in the underlying intricate geometry which in most of the cases can be described in terms of objects with non-integer (fractal) dimension. In other cases, the distribution of events in time or various other quantities show specific scaling behavior, thus providing a better understanding of the relevant factors determining the given processes.
Using fractal geometry and scaling as a language in the related theoretical, numerical and experimental investigations, it has been possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets and inhomogeneous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.

The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.

The journal "Fractals" focuses on the investigation of phenomena involving complex geometry, patterns, and scaling. Over the past few decades, this field has undergone remarkable development and widespread applications. The study of geometrical and temporal scaling has revealed common features of many processes across a diverse range of fields, including physics, mathematics, biology, chemistry, economics, engineering, and human behavior. The complex nature of a phenomenon is often manifested in its underlying intricate geometry, which can frequently be described in terms of objects with non-integer (fractal) dimensions. In other cases, the distribution of events over time or various other quantities exhibits specific scaling behaviors, thus providing a better understanding of the relevant factors influencing these processes.

By employing fractal geometry and scaling as a language in related theoretical, numerical, and experimental investigations, we have been able to gain deeper insights into previously intractable problems. The application of concepts such as scale invariance, self-affinity, and multifractality has led to a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets, and inhomogeneous materials.

The main challenge of the journal "Fractals" lies in its interdisciplinary nature; we are committed to bringing together the latest developments in these fields to foster fruitful interactions among various approaches and scientific perspectives on complex spatial and temporal behaviors in both nature and society.

《Fractals》期刊专注于复杂几何、模式和尺度相关现象的研究。过去几十年，这一领域经历了显著的发展和广泛的应用。几何和时间尺度的研究揭示了许多过程的共同特征，这些过程涵盖了物理学、数学、生物学、化学、经济学、工程技术以及人类行为等多个领域。复杂现象的本质通常体现在其底层的复杂几何结构中，这些结构往往可以用非整数（分形）维度的对象来描述。在其他情况下，事件在时间上的分布或其他量的变化表现出特定的尺度行为，从而帮助我们更好地理解影响这些过程的相关因素。

通过使用分形几何和尺度作为相关理论、数值和实验研究的语言，我们能够深入探讨以往难以解决的问题。通过应用尺度不变性、自相似性和多重分形等概念，我们对生长现象、湍流、迭代函数、胶体聚集、生物模式形成、股市以及非均匀材料等领域有了更深入的理解。

《Fractals》期刊的主要挑战在于其跨学科的特性；我们致力于汇集这些领域的最新发展，以促进不同方法和科学观点在自然和社会中对复杂空间和时间行为的有效互动。

Category	Quartile
数学	3
数学, 综合性期刊	2
数学, 数学跨学科应用	3

Complexity-based Analysis of the Variations in Skin Reaction in Different Emotional States

ivySCI AI Smartly Parses PDF, Answers Researchers' Questions, and Helps You Understand Papers in Seconds

Journal Info

Category	Quartile
MULTIDISCIPLINARY SCIENCES	1