introduced in the study of dynamical systems, such as Lyapunov stability or structural stability. The stability of the dynamical system implies that there is...

Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations...

This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of...

dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems...

Linear dynamical systems are dynamical systems whose evolution functions are linear. While dynamical systems, in general, do not have closed-form solutions...

mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions. These were once thought...

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...

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...

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...

dissipative system. Dissipative systems stand in contrast to conservative systems. A dissipative structure is a dissipative system that has a dynamical regime...

Hadamard dynamical system (also called Hadamard's billiard or the Hadamard–Gutzwiller model) is a chaotic dynamical system, a type of dynamical billiards...

is also known as a "source". A phase portrait graph of a dynamical system depicts the system's trajectories (with arrows) and stable steady states (with...

theory. Deterministic system (philosophy) Dynamical system Scientific modelling Statistical model Stochastic process deterministic system - definition at The...

certain dynamical systems. While there are several distinct formal definitions, informally speaking, an integrable system is a dynamical system with sufficiently...

Hamiltonian system is a dynamical system governed by Hamilton's equations. In physics, this dynamical system describes the evolution of a physical system such...

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...

the modern theory of dynamical systems. For discrete-time dynamical systems, the orbits are sequences; for real dynamical systems, the orbits are curves;...

varies Mathematics Dynamical system, a concept describing a point's time dependency Topological dynamics, the study of dynamical systems from the viewpoint...

and many other scientists since most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time...

Complex dynamics, or holomorphic dynamics, is the study of dynamical systems obtained by iterating a complex analytic mapping. This article focuses on...

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...

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...

Conley's fundamental theorem of dynamical systems or Conley's decomposition theorem states that every flow of a dynamical system with compact phase portrait...

called the mapping torus of ( X , f ) {\displaystyle (X,f)} . M. Brin and G. Stuck, Introduction to Dynamical Systems, Cambridge University Press, 2002....

ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions for mixing exist, including strong...

stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation...

optimization and equilibrium problems and the dynamical world of ordinary differential equations. A projected dynamical system is given by the flow to the projected...

disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove...

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...

theory of dynamical systems, a crisis is the sudden appearance or disappearance of a strange attractor as the parameters of a dynamical system are varied...