Special Issue: Contemporary Developments of Fractals in Mathematical Modelling and Nonlinear Dynamical Systems


Fractals are fascinating self-similar patterns commonly seen in natural phenomena and can also effortlessly be visualized across many other mathematical domains. Self-similarity and irregularity serve as bridging paradigms between fractal analysis and other disciplines. In addition to their striking beauty, which effectively reveal the complex and hidden dynamics behind the nonlinear systems and mathematical models. Fractal analysis is especially useful for exploring the future behavior of complex systems as they provide fundamental knowledge about the uncertainty and indeterminism of the systems. Literature has acknowledged numerous studies of scaling and non-integer fractal dimension with mathematical models resulting in appearance of fractals and chaotic behaviors.

Appreciating the afore-discussion on fractals and its connect with mathematical modelling and nonlinear systems, this special issue aims to acquaint readers the recent intriguing developments of fractals in mathematical modelling and nonlinear systems. In this connection, it intends to invite emerging researchers to submit original research articles which deals the theory as well as the practical applications under the topic on “Contemporary Developments of Fractals in Mathematical Modelling and Nonlinear Dynamical Systems”. We invite papers on any of the potential topics listed below, but not limited to:

  • Fractals and Multifractals
  • Fractal Approaches in Mathematical Modelling
  • Applications of Fractals in Medical Diagnosis
  • Applications of Fractal Dimension in Epidemiology
  • Fractal Patterns in Climate Modelling
  • Estimating Fractal Dimension for Dynamical Systems
  • Comparison of Dynamical Attractors using Fractals
  • Multifractal Approaches for Nonlinear Dynamical Systems
  • Fractals in Nonlinear Biological Models
  • Fractals in Fractional-order Dynamical Systems
  • Fractal Time Series Modelling 



We invite researchers to contribute original research articles, reviews, and perspectives addressing the aforementioned topics. Submissions may include theoretical developments, computational studies, experimental validations, and real-world applications. The ultimate aim of this special issue is to foster collaboration and the exchange of ideas among researchers from diverse backgrounds, leading to novel insights and advancements in understanding and controlling complex systems.



Guest Editor:

Dr. A. Gowrisankar

Department of Mathematics, School of Advanced Sciences,

Vellore Institute of Technology, Vellore- 632 014, Tamil Nadu, India.

Email: gowrisankargri@gmail.com


Dr. Yeliz Karaca

University of Massachusetts Chan Medical School,

Worcester, United States

Email:  yeliz.karaca@ieee.org  


Submission information

Submit it online: http://ojs.wiserpub.com/index.php/CM/user/register

Or send it to the email address: cmeditor@universalwiser.com


Submission guideline



For any inquiries about this Special Issue, please contact the Editors via cmeditor@universalwiser.com