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...

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

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...

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

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

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

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...

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...

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...

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

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

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...

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...

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

neuroscience that dynamical systems encompasses. In 2007, a canonical text book was written by Eugene Izhikivech called Dynamical Systems in Neuroscience...

A dynamical billiard is a dynamical system in which a particle alternates between free motion (typically as a straight line) and specular reflections from...

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...

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...

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...

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

the study of iterated functions and dynamical systems, a periodic point of a function is a point which the system returns to after a certain number of...

mathematics, a conservative system is a dynamical system which stands in contrast to a dissipative system. Roughly speaking, such systems have no friction or...

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

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

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

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...