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...

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...

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 simulation or dynamic system simulation is the use of a computer program to model the time-varying behavior of a dynamical system. The...

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...

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 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...

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...

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

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...

Sequential dynamical systems (SDSs) are a class of graph dynamical systems. They are discrete dynamical systems which generalize many aspects of for example...

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

dynamics, the study of dynamical systems from the viewpoint of general topology Symbolic dynamics, a method to model dynamical systems Group dynamics, the...

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...

called the phase space of the dynamical system (3). The configuration space and the phase space of the dynamical system (3) both are Euclidean spaces...

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...

a dynamical system may substantially change as the versal deformation of the Jordan normal form of A(c). The simplest example of a dynamical system is...

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

decomposition, as well as other complex dynamical systems, such as biological networks. First, consider a dynamical system of the form x ˙ = d d t x ( t ) =...

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

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...

Fiona Clarke, a scientist on Flight 828 who is involved with Unified Dynamic Systems and the Singularity project. After disappearing with Captain Daly,...

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

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...

associated dynamical system of a gradient-like vector field, a gradient-like dynamical system, is a special case of a Morse–Smale system. p. 63 An introduction...