Search for "Dynamical systems" in article titles:

1. Dynamical systems: A dynamical system is a rule for time evolution on a state space. A dynamical system consists of an abstract phase space or state space, whose coordinates describe the state at any instant, and a dynamical rule that specifies the ... [100%] 2021-12-24 [Dynamical Systems]
2. Dynamical systems theory: 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. (Area of mathematics used to describe the behavior of complex dynamical systems) [81%] 2023-12-12 [Dynamical systems] [Complex systems theory]...
3. Dynamical systems theory: 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. (Area of mathematics used to describe the behavior of complex dynamical systems) [81%] 2023-12-19 [Dynamical systems] [Complex systems theory]...
4. Dynamical systems software packages: software for dynamical systems Mathematical background on dynamical systems can be found in , or (cf. also Dynamical system). (Mathematics) [70%] 2023-10-17
5. Stochastic dynamical systems: A stochastic dynamical system is a dynamical system subjected to the effects of noise. Such effects of fluctuations have been of interest for over a century since the seminal work of Einstein (1905). [81%] 2021-12-24 [Dynamical Systems] [Noise]...
6. Minimal dynamical systems: Minimal systems are natural generalizations of periodic orbits, and they are analogues of ergodic measures in topological dynamics. They were defined by G. [81%] 2021-12-24 [Mappings] [Topological Dynamics]...
7. Equivariant dynamical systems: Equivariant dynamical systems are dynamical systems that have symmetries. A symmetry of a dynamical system is a transformation that takes solutions to solutions. [81%] 2021-12-24 [Dynamical Systems] [Differential Equations]...
8. Suspension (dynamical systems): Suspension is a construction passing from a map to a flow. Namely, let X {\displaystyle X} be a metric space, f : X → X {\displaystyle f:X\to X} be a continuous map and r : X → R + {\displaystyle r:X\to ... (Dynamical systems) [81%] 2024-07-25 [Dynamical systems]
9. Universality (dynamical systems): In statistical mechanics, universality is the observation that there are properties for a large class of systems that are independent of the dynamical details of the system. Systems display universality in a scaling limit, when a large number of interacting ... (Dynamical systems) [81%] 2025-02-23 [Dynamical systems] [Critical phenomena]...
10. Combinatorics and dynamical systems: The mathematical disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove combinatorial theorems about number theory which has given rise to the field of arithmetic ... [70%] 2023-12-13 [Combinatorics] [Dynamical systems]...
11. History of dynamical systems: Dynamical systems theory (also known as nonlinear dynamics, chaos theory) comprises methods for analyzing differential equations and iterated mappings. It is a mathematical theory that draws on analysis, geometry, and topology – areas which in turn had their origins in Newtonian ... [70%] 2021-12-24 [Dynamical Systems] [Celestial mechanics]...
12. Normal form (dynamical systems): In mathematics, the normal form of a dynamical system is a simplified form that can be useful in determining the system's behavior. Normal forms are often used for determining local bifurcations in a system. (Dynamical systems) [70%] 2023-09-29 [Bifurcation theory] [Dynamical systems]...
13. Perturbation theory (dynamical systems): The principle of perturbation theory is to study dynamical systems that are small perturbations of `simple' systems. Here simple may refer to `linear' or `integrable' or `normal form truncation', etc. (Dynamical systems) [70%] 2021-12-24 [Bifurcations] [Celestial mechanics]...
14. Piecewise smooth dynamical systems: A piecewise-smooth dynamical system (PWS) is a discrete- or continuous-time dynamical system whose phase space is partitioned in different regions, each associated to a different functional form of the system vector field. A piecewise-smooth map is described ... [70%] 2021-12-24 [Differential Equations] [Bifurcations]...
15. Equivalence of dynamical systems: Two autonomous systems of ordinary differential equations (cf. Autonomous system) $$ \tag{a1 } {\dot{x} } = f ( x ) , \quad x \in \mathbf R ^ {n} , $$ and $$ \tag{a2 } {\dot{y} } = g ( y ) , \quad y \in \mathbf R ^ {n} $$ (and their associated flows, cf. (Mathematics) [70%] 2023-09-14
16. Combinatorics and dynamical systems: The mathematical disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove combinatorial theorems about number theory which has given rise to the field of arithmetic ... [70%] 2025-07-04 [Combinatorics] [Dynamical systems]...
17. Universal behaviour in dynamical systems: In the late 1970's, P. Coullet and C. (Mathematics) [63%] 2023-10-13
18. Exponential map (discrete dynamical systems): In the theory of dynamical systems, the exponential map can be used as the evolution function of the discrete nonlinear dynamical system. The family of exponential functions is called the exponential family. (Discrete dynamical systems) [63%] 2024-02-10 [Chaotic maps]
19. Ergodic Theory and Dynamical Systems: Ergodic Theory and Dynamical Systems est une revue mathématique à comité de lecture publiée par Cambridge University Press. Elle publie des articles en théorie ergodique et sur les systèmes dynamiques. [63%] 2025-07-04
20. Ergodic Theory and Dynamical Systems: Ergodic Theory and Dynamical Systems ist eine seit 1981 in englischer Sprache erscheinende mathematische Fachzeitschrift, die von der Cambridge University Press herausgegeben wird. Nach eigenen Angaben konzentriert sich die Zeitschrift auf eine reiche Varietät von Forschungsgebieten, die trotz ihrer Diversität ... [63%] 2025-07-04
21. Ergodic Theory and Dynamical Systems: Ergodic Theory and Dynamical Systems is a peer-reviewed mathematics journal published by Cambridge University Press. Established in 1981, the journal publishes articles on dynamical systems. [63%] 2025-07-04 [Dynamical systems journals] [Academic journals established in 1981]...
22. Ergodic Theory and Dynamical Systems: Ergodic Theory and Dynamical Systems is a peer-reviewed mathematics journal published by Cambridge University Press . Established in 1981, the journal publishes articles on dynamical systems. [63%] 2025-07-04 [Mathematics journals]
23. Local normal forms for dynamical systems: $\def\l{\lambda}$ A local dynamical system is a dynamical system (flow of a vector field, cascade of iterates of a self-map, or sometimes more involved construction) defined in an unspecifiedly small neighborhood of a fixed (rest) point. Application ... (Mathematics) [57%] 2023-12-03
24. Michael Brin Prize in Dynamical Systems: The Michael Brin Prize in Dynamical Systems, abbreviated as the Brin Prize, is awarded to mathematicians who have made outstanding advances in the field of dynamical systems and are within 14 years of their PhD. The prize is endowed by ... (Mathematical award) [57%] 2025-07-04 [Awards established in 2008] [Academic awards]...