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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 system: In the original meaning of the term a dynamical system is a mechanical system with a finite number of degrees of freedom. The state of such a system is usually characterized by its position (configuration, location) and the rate of ... (Mathematics) [92%] 2023-12-12
3. Dynamical system (definition): The dynamical system concept is a mathematical formalization for any fixed "rule" that describes the time dependence of a point's position in its ambient space. The concept unifies very different types of such "rules" in mathematics: the different choices ... (Definition) [92%] 2023-12-12 [Dynamical systems]
4. Dynamical system: 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 ... (Mathematical model of the time dependence of a point in space) [92%] 2024-01-06 [Dynamical systems] [Systems theory]...
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. 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]...
7. 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]...
8. 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]...
9. 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]...
10. System Dynamics (NetLogo): This page will describe some elements of NetLogo's system dynamics module. Like other system dynamics environments, NetLogo diagrams describing the structure of model, includes stocks (levels), in/out flows, and constants and/or variables. (NetLogo) [78%] 2024-01-13
11. System Dynamics (FreeStyler): This article shortly documents the system dynamics plugin for the Freestyler software. As of Feb 2019 the program is still working under Windows §10 and Ubuntu 10. (FreeStyler) [78%] 2024-01-19
12. System dynamics: System dynamics refers to a type of computer modeling and computer simulation created in the 1960s by Dr. Jay W. [78%] 2024-01-20
13. System dynamics: System dynamics is an approach to understanding the behaviour of complex systems over time. It deals with internal feedback loops and time delays that affect the behaviour of the entire system. [78%] 2023-12-12 [Operations research] [Systems theory]...
14. System Dynamics (NetLogo): Центра́льный банк Росси́йской Федера́ции (Банк Росси́и, ЦБ РФ, Центробанк РФ) — особый публично-правовой институт России, главный банк (первого уровня). Главный эмиссионный и денежно-кредитный регулятор страны, разрабатывающий и реализующий во взаимодействии с Правительством Российской Федерации единую государственную денежно-кредитную политику и на. (NetLogo) [78%] 2024-03-08
15. System dynamics: System dynamics (SD) is an approach to understanding the nonlinear behaviour of complex systems over time using stocks, flows, internal feedback loops, table functions and time delays. System dynamics is a methodology and mathematical modeling technique to frame, understand, and ... (Study of non-linear complex systems) [78%] 2024-09-06 [Complex systems theory] [Operations research]...
16. Topological dynamical system: A triple $(W,G,F)$, where $W$ is a topological space, $G$ is a topological group and $F$ is a continuous function $G\times W\to W$ defining a left action of $G$ on $W$: If $w\in W$, $e ... (Mathematics) [75%] 2023-12-12
17. Gradient dynamical system: A flow (continuous-time dynamical system) given by the gradient of a smooth function $f$ on a smooth manifold. Direct differentiation of $f$ yields a covariant vector (e.g. (Mathematics) [75%] 2023-12-29
18. Sequential dynamical system: Sequential dynamical systems (SDSs) are a class of graph dynamical systems. They are discrete dynamical systems which generalize many aspects of for example classical cellular automata, and they provide a framework for studying asynchronous processes over graphs. (Class of graph dynamical systems) [75%] 2023-12-07 [Combinatorics] [Graph theory]...
19. Liouville dynamical system: In classical mechanics, a Liouville dynamical system is an exactly solvable dynamical system in which the kinetic energy T and potential energy V can be expressed in terms of the s generalized coordinates q as follows: The solution of this ... (Physics) [75%] 2023-11-17 [Classical mechanics]
20. Random dynamical system: In the mathematical field of dynamical systems, a random dynamical system is a dynamical system in which the equations of motion have an element of randomness to them. Random dynamical systems are characterized by a state space S, a set ... [75%] 2023-12-12 [Stochastic differential equations] [Stochastic processes]...