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Dynamical systems theory
AREA OF MATHEMATICS USED TO DESCRIBE THE BEHAVIOR OF COMPLEX DYNAMICAL SYSTEMS, USUALLY BY EMPLOYING DIFFERENTIAL EQUATIONS OR DIFFERENCE EQUATIONS
Dynamical systems and chaos theory; Dynamic systems theory; Mathematical system theory; Dynamical system (cognitive science); Mathematical systems theory; Dynamical Systems Theory; Applications of dynamical systems theory; History of dynamical systems theory
Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical systems.
Dynamical system
MATHEMATICAL MODEL WHICH DESCRIBES THE TIME DEPENDENCE OF A POINT IN A GEOMETRICAL SPACE
Dynamic system; Dynamical systems; Nonlinear dynamic system; Nonlinear dynamical system; Non-linear dynamical system; Non-linear dynamics; Discrete dynamical system; Discrete-time dynamical system; Continuous-time dynamical system; Dynamical Systems; Non-integrable system; Dynamical system (definition); Dynamical; Real dynamical system; Evolution function; Real global dynamical system; Continuously differentiable real dynamical system; Differentiable real dynamical system; Φ-invariant; Continuous dynamical system; Global dynamical system; Differentiable dynamical system; Ph-invariant; Nonlinear dynamical systems; Dynamic System; Differentiable dynamics; Mathematical dynamics; Evolution parameter; Dynamic systems
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake.
Combinatorics and dynamical systems
The mathematical disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove combinatorial theorems about number theory which has given rise to the field of arithmetic combinatorics.
