introduced in the study of dynamical systems, such as Lyapunov stability or structural stability. The stability of the dynamical system implies that there is...
52 KB (7,067 words) - 22:55, 8 June 2024
Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations...
24 KB (2,921 words) - 02:46, 16 June 2024
Linear dynamical systems are dynamical systems whose evolution functions are linear. While dynamical systems, in general, do not have closed-form solutions...
5 KB (865 words) - 00:25, 22 October 2023
dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems...
23 KB (3,592 words) - 13:02, 9 August 2024
Chaos theory (redirect from Chaotic dynamical system)
mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought...
123 KB (14,110 words) - 22:38, 18 August 2024
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...
11 KB (1,804 words) - 08:40, 26 January 2024
In mathematics, the concept of graph dynamical systems can be used to capture a wide range of processes taking place on graphs or networks. A major theme...
10 KB (1,389 words) - 06:28, 5 May 2024
This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of...
5 KB (413 words) - 14:04, 5 April 2022
A hybrid system is a dynamical system that exhibits both continuous and discrete dynamic behavior – a system that can both flow (described by a differential...
13 KB (1,558 words) - 11:16, 29 August 2024
Cognitive model (redirect from Dynamical cognitive systems)
systems. The total system is a dynamical system that models an agent in an environment, whereas the agent system is a dynamical system that models an agent's...
26 KB (3,523 words) - 08:48, 16 August 2024
dissipative system. Dissipative systems stand in contrast to conservative systems. A dissipative structure is a dissipative system that has a dynamical regime...
17 KB (2,043 words) - 09:47, 6 December 2023
Phase space (redirect from Phase space (dynamical system))
In dynamical systems theory and control theory, a phase space or state space is a space in which all possible "states" of a dynamical system or a control...
18 KB (2,130 words) - 14:12, 13 June 2024
Sequential dynamical systems (SDSs) are a class of graph dynamical systems. They are discrete dynamical systems which generalize many aspects of for example...
4 KB (629 words) - 23:32, 2 March 2023
certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently...
28 KB (3,405 words) - 20:28, 12 June 2024
theory. Deterministic system (philosophy) Dynamical system Scientific modelling Statistical model Stochastic process deterministic system - definition at The...
3 KB (397 words) - 18:51, 13 June 2022
Hamiltonian system is a dynamical system governed by Hamilton's equations. In physics, this dynamical system describes the evolution of a physical system such...
10 KB (1,369 words) - 14:52, 1 April 2024
Hadamard dynamical system (also called Hadamard's billiard or the Hadamard–Gutzwiller model) is a chaotic dynamical system, a type of dynamical billiards...
4 KB (591 words) - 22:41, 11 December 2023
point of a moving system, either a dynamical system or a stochastic process, will eventually visit all parts of the space that the system moves in, in a...
55 KB (8,917 words) - 19:31, 1 September 2024
Complex dynamics (redirect from Complex dynamical system)
Complex dynamics, or holomorphic dynamics, is the study of dynamical systems obtained by iterating a complex analytic mapping. This article focuses on...
31 KB (4,681 words) - 15:36, 29 July 2024
Orbit (dynamics) (category Dynamical systems)
the modern theory of dynamical systems. For discrete-time dynamical systems, the orbits are sequences; for real dynamical systems, the orbits are curves;...
7 KB (1,068 words) - 08:25, 28 July 2024
Mixing (mathematics) (redirect from Mixing system)
ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions for mixing exist, including strong...
26 KB (4,728 words) - 06:09, 19 August 2024
called the mapping torus of ( X , f ) {\displaystyle (X,f)} . M. Brin and G. Stuck, Introduction to Dynamical Systems, Cambridge University Press, 2002....
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stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation...
18 KB (2,932 words) - 17:32, 7 May 2024
Dynamics (redirect from Dynamical (disambiguation))
varies Mathematics Dynamical system, a concept describing a point's time dependency Topological dynamics, the study of dynamical systems from the viewpoint...
4 KB (511 words) - 15:27, 15 July 2024
three, The System of the World: Book three (that is, the system of the world is a physical system). Newton's approach, using dynamical systems continues...
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and many other scientists since most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time...
21 KB (2,597 words) - 23:02, 6 April 2024
disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove...
6 KB (541 words) - 00:00, 30 March 2023
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...
11 KB (1,440 words) - 11:12, 12 February 2024
optimization and equilibrium problems and the dynamical world of ordinary differential equations. A projected dynamical system is given by the flow to the projected...
6 KB (922 words) - 11:15, 2 August 2024
Conley's fundamental theorem of dynamical systems or Conley's decomposition theorem states that every flow of a dynamical system with compact phase portrait...
4 KB (401 words) - 22:47, 2 December 2023