# Dynamic System

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A Dynamic System is a system that changes over time.

**Context:**- It can range from being a Dynamic Physical System to being a Dynamic Abstract System.
- It can range from being a Deterministic Dynamic System to being a Stochastic Dynamic System.
- It can range from being a Simple Dynamic System to being a Complex Dynamic System.
- It can range from being a Fragile Dynamic System to being an Anti-Fragile Dynamic System.
- It can be represented by a Dynamic Temporal Dataset.
- …

**Example(s):**- a Self-Replicating System, such as a cellular system.
- a Gene Expression System.
- an Agent.
- …

**Counter-Example(s):**- a Stable System, such as a swinging pendulum or a running clock.
- a Static System, such as a stopped clock.

**See:**Non-Linear System.

## References

### 2014

- (Wikipedia, 2014) ⇒ http://en.wikipedia.org/wiki/Dynamical_system Retrieved:2014-6-22.
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**dynamical system**is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. 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). Small changes in the state of the system create small changes in the numbers. The*evolution rule*of the dynamical system is a fixed rule that describes what future states follow from the current state. The rule is deterministic; in other words, for a given time interval only one future state follows from the current state.

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