Applied Mathematics in Nonlinear Dynamics and Chaos, 2nd Edition

Dear Colleagues,

We are pleased to announce this Special Issue of the journal Mathematics, entitled "Applied Mathematics in Nonlinear Dynamics and Chaos, 2nd Edition". This collection is focused on works devoted to new ideas in applied mathematics. It is assumed that these ideas can be formalized using the apparatus of the theory of dynamical systems. We welcome papers that consider processes that lead the regular to chaotic behavior of solutions. Chaotic behavior can be controlled by changing parameters and refining the model used. Of particular interest are articles that describe the implementation of the control of chaotic behavior. Is there order in chaos? Is it possible to imagine that the control of any chaotic systems is, in principle, impossible? To what extent, in this case, is this still possible? Since chaotic behavior can be present in systems arising in various fields of knowledge, this collection welcomes articles that study chaos in specific models used, for example, in engineering, mechanics, chemistry, biology, and the social sciences. Of particular note is mathematical modeling with the help of dynamic systems of processes in biological populations, not excluding the human community. Perhaps successful models will suggest ways to solve pressing problems in society, and shed light on some seemingly incomprehensible and unsolvable conflict situations of our time. All of the above do not exclude, but on the contrary, make desirable to some extent, standard forms of studying phenomena, their evolution, and development.

We would like to receive contributions from experts in their field (and simply interested beginner, but already skilled, mathematical workers) including the results of work in the following areas: 

• The development of a dynamic mathematical model from a set of experimental data in some areas of production and/or natural science;
• Theoretical work in the field of formalization of the phenomenon of chaos in terms inherent in the theory of dynamic systems;
• “crazy” ideas regarding dynamic chaos and its connection with traditional theory, from real-minded specialists;
• New ideas regarding the invasion of spaces of higher dimensions from the point of view of chaos and ways of translating the realities of these spaces into the realm of feelings, and not just logical formal thinking;
• The stabilization of chaos in mathematical models, and recommendations for the stabilization of simulated real processes;
• Vivid examples of the importance of understanding chaotic processes and descriptions of these processes that are accessible to the average person;
• Chaos in number theory from the point of view of dynamical systems;
• Proof of the possibility or refutations of the possibility of managing large social systems with the guaranteed limitation of uncontrolled processes;
• Uncontrolled processes whether or not they are necessary, and how they emerge from controllable ones (in connection with artificial intelligence);
• Everything related to objects and phenomena that seem interesting from the point of view of theory and practice, to which the methods of the theory of dynamic systems and those not specified above are applicable. 

Dr. Inna Samuilik
Guest Editor

Manuscript Submission Information

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• nonlinear dynamics
• bifurcation theory
• chaos theory
• irregular attractors
• control theory
• complex systems
• numerical methods for dynamic systems
• modeling and technology for dynamic systems in science and engineering