Special Issue "Advances in Nonlinear Analysis and Control"

Dear Colleagues,

Ilya Prigogine, a Nobel Prize winner, once said: ‘The world is nonlinear, temporal, and stochastic’. Linear systems tend to be just linearized nonlinear (unknown) ones; we should necessarily verify whether the linearization procedure is adequate for given parameter values.

Nonlinear phenomena are responsible complex for systems behavior. We believe that nonlinearity constitutes the core of complexity, and nonlinear processes, their genesis, evolution, and termination, form the subject matter of this Special Issue.

In the present Issue, we would like to bring together studies on both theoretical aspects and real-world applications of nonlinearity; we are interested in natural and humanitarian science applications. Eugene Wigner, the other Nobel Prize winner, wrote about ‘the unreasonable effectiveness of mathematics in the natural sciences’. We believe that pure and applied mathematics constitute the same field of science, and that complex systems theory bridges the gap between them.   

It would be our pleasure to see your papers on complex systems, nonlinear science, self-organized systems, chaos theory, bifurcation theory, catastrophe theory, complexity, numerical methods, global models, nonlinear phenomena in natural and social sciences, language as a complex system, chaotic time series, AI and nonlinear processes, nonlinear control, and ‘nonlinear’ philosophy, to name just a few.

Prof. Dr. Vasilii A. Gromov
Guest Editor

Manuscript Submission Information

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• complex systems
• nonlinear science
• self-organized systems
• chaos theory
• bifurcation theory
• catastrophe theory
• complexity
• numerical methods
• global models
• inverse problems
• nonlinear phenomena in natural and social sciences
• language as a complex system
• chaotic time series
• AI and nonlinear processes
• nonlinear control
• ‘nonlinear’ philosophy