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6 Cards in this Set
- Front
- Back
Dynamical System
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a set of possible states together with a rule that determines the present state in terms of past states
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Deterministic
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the present state can be uniquely determined from the past states
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Random or Stochastic Process
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Not a dynamical system, a system where the present state is not uniquely determined by the past states but instead there is some probablilty or randomness involved and hence error.
Stochastic- involving a random variable, of relating to or characterized by conjecture |
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Discrete Time Dynamical System
Continuous Time Dynamical System State of system |
Discrete time when the rule is applied at discrete times,
Continuous time- limit of discrete system with smaller time intervals state of system-whatever information needed so that the rule may be applied |
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Exponential Growth/Decline
Logistic Growth Model |
Exponential Growth/Decline- state is multiplied by a constant factor per unit time (greater than 1 growth, less than one decline)
Logistic Growth Model- having nonlinear effects such as competition affecting the population of a species |
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Map
Fixed Point |
a function whose domain and range are the same space
f(p)=p |