Recent Advances in Complex Dynamics in Non-smooth Systems

Dear Colleagues,

Chaos is a common phenomenon in nature and exists in various nonlinear systems. The theoretical research on chaos has lasted for decades. Various definitions and properties of chaos, the theoretical basis and framework of chaos, the correlation between chaos and fractal, and the test methods of chaos have made great progress. At the same time, chaos has also been widely used, such as chaotic image encryption, chaotic secure communication, chaotic optimization algorithms, etc. With the development of nonlinear dynamics, chaotic phenomena have been found in recent nonlinear systems, such as fractional differential systems, fractional discrete systems, discontinuous dynamical systems, etc. In the last 30 years, non-smooth dynamics, including chaos, bifurcation and other mechanisms, have also been found in these new systems. Nonlinear systems, bifurcation, chaos and fractals are intertwined, which constitute several major topics in the study of nonlinear dynamics. Therefore, we organized this Special Issue to collect the latest progress in the research of non-smooth dynamics, such as nonlinear dynamics, chaos, fractal and other nonlinear phenomena.

This Special Issue will showcase articles (e.g., reviews, original papers and comments) on topics including, but not limited to, the following:

• Nonlinear dynamics in systems such as biological systems, mechanical systems, etc., mainly including new theories, new discoveries and new applications such as chaos, bifurcation and fractals;
• The latest discovery of chaos and various bifurcation phenomena in nonlinear systems;
• The latest development of chaos test methods;
• Attractors and hidden attractors in nonlinear systems;
• Measurement of fractal sets in nonlinear systems;
• The latest application research progress of chaos and fractals;
• Research on various bifurcations of non-smooth systems.

Prof. Dr. Zhouchao Wei
Dr. Liguo Yuan
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• chaos
• bifurcation
• attractor
• non-smooth dynamics