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

of the ergodicity of dynamic systems. When differential equations are employed, the theory is called continuous dynamical systems. From a physical point...

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

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...

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...

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

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

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

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

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

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

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...

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...

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...

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...

In the complex system approach to peace and armed conflict, the social systems of armed conflict are viewed as complex dynamical systems. The study of...

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

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

growth scenarios. System dynamics is an aspect of systems theory as a method to understand the dynamic behavior of complex systems. The basis of the method...

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...

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...

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

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

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

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