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Unformatted text preview: Preview of Period 14: Sensitive Systems and Computer Modeling 14.1 Sensitive and NonSensitive Systems What determines if a system is sensitive to its initial conditions? Why can we predict the motion of some objects, but not others? 14.2 Probability and Sensitive Systems How is the sensitivity of a system related to the probability of a particular outcome? 14.3 Computer Simulations What are the advantages of computer simulations? What are their limitations? 14.4 Balance of the Planet How are the variables that describe our planet interrelated? Is the Earth’s environment is a sensitive or a nonsensitive system? 141 Predictable and Unpredictable Systems What is the difference between a system that is predictable and one that is not predictable? ♦ A predictable system is one that is not greatly affected by (is not sensitive to) the choice of the system’s initial conditions. ♦ An unpredictable system’s behavior is sensitive to its initial conditions. ♦ The outcomes of a nonsensitive system are predictable. But the outcomes of a sensitive system are not predictable 142 Deterministic Systems • A system is a sequence of events and a set of rules that define the events and any relation between these events. • In a deterministic system , there is a well defined relation between successive events. • Each successive event may be determined from previous events. • All systems in nature are deterministic. • If we know all of the equations that govern the behavior of any system, the subsequent behavior of that system can be determined by previous events. 143 Sensitive Systems ♦ Some deterministic systems are inherently sensitive to the initial conditions of the event, such as the initial position or velocity of an object. ♦ In sensitive systems, small changes to initial conditions can result in large differences in outcomes....
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 Winter '11
 Staff
 Probability, Energy, Computer Graphics, initial conditions, Computer simulation, mathematical model, Butterfly effect

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