In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems.
Dušan D. Repovš is a Slovenian mathematician from Ljubljana, Slovenia.
Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical systems. From a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization where the equations of motion are postulated directly and are not constrained to be Euler–Lagrange equations of a least action principle. When difference equations are employed, the theory is called discrete dynamical systems. When the time variable runs over a set that is discrete over some intervals and continuous over other intervals or is any arbitrary time-set such as a Cantor set, one gets dynamic equations on time scales. Some situations may also be modeled by mixed operators, such as differential-difference equations.
Jean, Baron Bourgain was a Belgian mathematician. He was awarded the Fields Medal in 1994 in recognition of his work on several core topics of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, ergodic theory and nonlinear partial differential equations from mathematical physics.
Louis Nirenberg was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.
Nikolay Nikolayevich Bogolyubov, also transliterated as Bogoliubov and Bogolubov, was a Soviet and Russian mathematician and theoretical physicist known for a significant contribution to quantum field theory, classical and quantum statistical mechanics, and the theory of dynamical systems; he was the recipient of the 1992 Dirac Medal.
Anatoly Mykhailovych Samoilenko was a Ukrainian mathematician, an Academician of the National Academy of Sciences of Ukraine, the Director of the Institute of Mathematics of the National Academy of Sciences of Ukraine.
Vasile Mihai Popov is a leading systems theorist and control engineering specialist. He is well known for having developed a method to analyze stability of nonlinear dynamical systems, now known as Popov criterion.
Mark Alexandrovich Krasnoselsky was a Soviet, Russian and Ukrainian mathematician renowned for his work on nonlinear functional analysis and its applications.
Institute of Mathematics of the National Academy of Sciences of Ukraine is a government-owned research institute in Ukraine that carries out basic research and trains highly qualified professionals in the field of mathematics. It was founded on 13 February 1934.
Andrei Dmitrievich Polyanin is a Russian mathematician. He is a creator and Editor-in-Chief of EqWorld.
Ravi P. Agarwal is an Indian mathematician, Ph.D. sciences, professor, Professor & Chairman, Department of Mathematics Texas A&M University-Kingsville, Kingsville, U.S.A. Agarwal is the author of over 1000 scientific papers as well as 30 monographs. He was previously a professor in the Department of Mathematical Sciences at Florida Institute of Technology.
Wiktor Eckhaus was a Polish–Dutch mathematician, known for his work on the field of differential equations. He was Professor Emeritus of Applied Mathematics at the Utrecht University.
Jane Smiley Cronin Scanlon was an American mathematician and an emeritus professor of mathematics at Rutgers University. Her research concerned partial differential equations and mathematical biology.
Gheorghe Moroșanu is a Romanian mathematician known for his works in Ordinary and Partial Differential Equations, Operator Theory, Integral Equations, Calculus of Variations and Optimal Control, Fluid Mechanics, Difference Equations, and other branches of Mathematics. He earned his Ph.D. in 1981 from the Alexandru Ioan Cuza University in Iași.
Jack Kenneth Hale was an American mathematician working primarily in the field of dynamical systems and functional differential equations.
Sergei Borisovich Kuksin is a French and Russian mathematician, specializing in partial differential equations (PDEs).
Igor Dmitrievich Chueshov was a Ukrainian mathematician. He was both a correspondent member of the Mathematics section of the National Academy of Sciences of Ukraine and a professor in the Department of Mathematical Physics and Computational Mathematics at the National University of Kharkiv.
Gennadiy Mykhailovych Feldman is a Soviet and Ukrainian mathematician, corresponding member of the National Academy of Sciences of Ukraine, doctor of physical and mathematical sciences, professor, Head of the Mathematical Division of B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine.
Jean L. Mawhin is a Belgian mathematician and historian of mathematics.
