Nonlinear Dynamics and Entropy of Complex Systems: Advances and Perspectives II

Dear Colleagues,

Many engineering, medical, environmental, economic, social, and other observable phenomena exhibit time evolution and can be successfully modeled via suitable mathematical expression, usually in the form of a set of differential equations. Because input–output relations between system quantities are generally non-proportional, associated dynamical behavior could be very complex or, under specific conditions, chaotic. Detection, description, analysis, quantification, and control of this random-like erratic motion associated with nonlinear dynamical systems is important due to universality (through dimensionless-less mathematical modeling) and several unique properties (sensitivity to initial conditions, mixing, dense attractors, fractal dimension, long-term unpredictability, continuous frequency spectrum, etc.).

In addition to its application in information theory, entropy is a general measure, commonly used for qualitative analysis of complex systems. Similar to Lyapunov exponents or fractal dimensions, entropy describes the complexity of dynamics with respect to system parameters, external forcing, initial conditions, or time instance.

Considering the recent advances reached in the field of chaotic systems (discovery of hidden attractors, multistability, different equilibrium structures, quasi-chaotic states, etc.), this Special Issue will collect new ideas and describe promising methods arising from the field of analysis and modeling of complex nonlinear dynamical systems.

This Special Issue will accept unpublished original papers and comprehensive reviews focused on (but not restricted to) the following research areas:

• Mathematical modeling of nature phenomena, artificial systems, and engineering problems;
• Analysis of nonlinear dynamical systems with complex behavior;
• New chaotic systems with special properties; both autonomous and driven;
• Experimental investigation of nonlinear lumped networks and circuits with spread parameters;
• Design of chaotic oscillators; described by both integer- and fractional-order;
• Investigation of electronic systems from the viewpoint of chaos evolution;
• Computer-aided quantification of continuous- and discrete-time dynamical flows;
• Advanced computational algorithms applied in real problems;
• Novel numerical methods dedicated to the qualitative analysis of dynamical flows;
• Algorithms for analysis of time sequences and entropy calculation.

Dr. Jiri Petrzela
Guest Editor

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 250 words) can be sent to the Editorial Office for assessment.

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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly 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.