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MA354_1pt1_DynSystems - University of South Alabama
MA354_1pt1_DynSystems - University of South Alabama

Systems of equations, vectors and matrices
Systems of equations, vectors and matrices

Homework 22
Homework 22

... ...
Dynamical systems
Dynamical systems

Dynamical systems
Dynamical systems

Mechanics
Mechanics

Physics 200A Theoretical Mechanics Fall 2013 Topics
Physics 200A Theoretical Mechanics Fall 2013 Topics

I - Mathphysics.com
I - Mathphysics.com

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Dynamical system



In mathematics, a dynamical system is a set of relationships among two or more measurable quantities, in which a fixed rule describes how the quantities evolve over time in response to their own values. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a lake.At any given time a dynamical system has a state given by a set of real numbers (a vector) that can be represented by a point in an appropriate state space (a geometrical manifold). The evolution rule of the dynamical system is a function that describes what future states follow from the current state. Often the function is deterministic; in other words, for a given time interval only one future state follows from the current state; however, some systems are stochastic, in that random events also affect the evolution of the state variables.
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