# Discrete-Time Dynamical Systems - Flashcards

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 Class: MATH 372 - MATH MODELS BIO SCIENCES Subject: Mathematics University: William Paterson University of New Jersey Term: Fall 2014
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 Updating Functions A function that changes the present. Denoted by the variable F(mt). It depends on initial condition. Without initial condition, the input or population stays constantFunction is shown as F(mt) Initial Condition The input that changes time interval. The future of the variable. Represented by the variable MtIn mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0). Discrete-Time Dynamics (DTD) Describes the relation between a quantity measured at the beginning and the end of an experiment or a time interval General Form of DTD Mt=Mt+1
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Updating FunctionsA function that changes the present. Denoted by the variable F(mt). It depends on initial condition. Without initial condition, the input or population stays constant
Function is shown as F(mt)
Initial ConditionThe input that changes time interval. The future of the variable. Represented by the variable Mt
In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0).
Discrete-Time Dynamics (DTD)Describes the relation between a quantity measured at the beginning and the end of an experiment or a time interval

General Form of DTDMt=Mt+1