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 Stable Dynamic System (such as a metastable system) to being a Unstable Dynamic 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.
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- It can be represented by a Dynamic Temporal Dataset.
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- Example(s):
- a Self-Replicating System, such as a cellular system.
- a Gene Expression System.
- an Agent.
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- 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.
- A 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.
- A 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.