In mathematics, the term "almost all" means "all but a negligible quantity". More precisely, if is a set, "almost all elements of " means "all elements of but those in a negligible subset of ". The meaning of "negligible" depends on the mathematical context; for instance, it can mean finite, countable, or null.
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a set, without the need of a smooth space-time structure defined on it.
In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed.
Frits Zernike was a Dutch physicist and winner of the Nobel Prize in Physics in 1953 for his invention of the phase-contrast microscope.
Floris Takens was a Dutch mathematician known for contributions to the theory of chaotic dynamical systems.
The Order of the Oak Crown is an order of the Grand Duchy of Luxembourg.
Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family of curves, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations. Most commonly applied to the mathematical study of dynamical systems, a bifurcation occurs when a small smooth change made to the parameter values of a system causes a sudden 'qualitative' or topological change in its behavior. Bifurcations occur in both continuous systems and discrete systems.
David Pierre Ruelle is a Belgian and naturalized French mathematical physicist. He has worked on statistical physics and dynamical systems. With Floris Takens, Ruelle coined the term strange attractor, and developed a new theory of turbulence.
In bifurcation theory, a field within mathematics, a Bogdanov–Takens bifurcation is a well-studied example of a bifurcation with co-dimension two, meaning that two parameters must be varied for the bifurcation to occur. It is named after Rifkat Bogdanov and Floris Takens, who independently and simultaneously described this bifurcation.
Indagationes Mathematicae is a Dutch mathematics journal.
Henk Gerard Sol is a Dutch organizational theorist and Emeritus Professor of Business Engineering and ICT at Groningen University. His research focuses on the development of services enabled by ICT, management information systems, decision enhancement and telematics.
In applied mathematics, Arnold diffusion is the phenomenon of instability of integrable Hamiltonian systems. The phenomenon is named after Vladimir Arnold who was the first to publish a result in the field in 1964. More precisely, Arnold diffusion refers to results asserting the existence of solutions to nearly integrable Hamiltonian systems that exhibit a significant change in the action variables.
50PLUS is a political party in the Netherlands that advocates pensioners' interests with a centrist political line. The party was founded in 2009 by Maurice Koopman, Alexander Münninghoff and Jan Nagel. Since 2021, Martin van Rooijen has served as party leader.
Martin Aaron Golubitsky is an American Distinguished professor of mathematics at Ohio State University and the former director of the Mathematical Biosciences Institute.
Jan in 't Veld was a Dutch aerospace engineer and professor of industrial organization at the Mechanical Engineering Department of the Technical University of Delft. In the Netherlands he was one of the pioneers of the application of systems theory in business administration and management.
Antonius Cornelis Joannes (Ton) de Leeuw is a Dutch organizational theorist and Emeritus professor of business administration at the University of Groningen, known for his contributions in the field of systems theory and methodology applied to business administration, management and innovation.
Hinke Maria Osinga is a Dutch mathematician and an expert in dynamical systems. She works as a professor of applied mathematics at the University of Auckland in New Zealand. As well as for her research, she is known as a creator of mathematical art.
The 2016–17 Eredivisie season was the 61st season of the top-tier Dutch League Eredivisie since its establishment in 1956. The fixtures for this season were announced on 14 June 2016. PSV were the defending champions after winning the title for a record 23rd time.
Paul van Geert is a Dutch linguist. He is currently a professor of developmental psychology at the University of Groningen, Netherlands. He is renowned for his work on developmental psychology and the application of dynamical systems theory in social science.
GVAV-Rapiditas are a Dutch multi-sport club based in Groningen, Netherlands. From 1954 to 1971, the club featured professional football. The professional branch was spun off and renamed FC Groningen in 1971.
