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Results #1-#10 of 28
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Logistic Map Fixed Points Model  [ Computer Program ]
  
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Byline:
W. Christian
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The Logistic Map Fixed Points Model finds periodic trajectories of the logistic map such that n iterations of the map starting with an initial value x return to that value. The key…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=11682&DocID=2556
Sand Pile Avalanche Model  [ Computer Program ]
  
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F. Esquembre
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The Sand Pile Avalanche Model simulates the occurences of avalanches in sand piles and plots the frequencies of the size of these avalanches. The general shape, size, and growth of a…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=11710&DocID=2590
Continuous Cellular Automata Model  [ Computer Program ]
  
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W. Christian
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The Continuous Cellular Automata Model creates a one-dimensional array of rational numbers Xi and applies a rule that determines how each cell evolves from one generation to the…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=11771&DocID=2632
Learning and Teaching Mathematics using Simulations – Plus 2000 Examples from Physics  [ Book ]
  
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D. Röss
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This work takes an experimental approach to understanding mathematics through the use of interactive Java simulations. Suggestions for experiments to perform are included for over 60…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=11774&DocID=4378
Ikeda Delay Differential Equation Model  [ Computer Program ]
  
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W. Christian and F. Esquembre
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The Ikeda Delay Differential Equation model shows the dynamics of a delay differential equation that depends on the value of the dynamical variable x(t) at a previous time…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=11123&DocID=2219
Hodgkin-Huxley Model  [ Computer Program ]
  
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C. Thomson
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The Hodgkin-Huxley Model shows the neuron voltage within the cell of a squid giant axon. This voltage is due to the currents flowing into the neuron and charging the capacitance of…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=12402&DocID=3105
FitzHugh-Nagumo Model  [ Computer Program ]
  
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C. Thomson
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The FitzHugh-Nagumo Model is simulates a biological neuron based on the van der Pol equations for a damped oscillator. It has two state variables: the voltage within the neuron and a…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=12416&DocID=3120
Morris-Lecar Model  [ Computer Program ]
  
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C. Thomson
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The Morris-Lecar Model is an abstraction of the Hodgkin-Huxley Model that has two state variables: the voltage within the neuron and a potassium gating variable. This model gives…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=12417&DocID=3122
Hindmarsh-Rose Model  [ Computer Program ]
  
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C. Thomson
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The Hindmarsh-Rose model is a system of three differential equations that model a different physical aspect of a single neuron. The three dynamical variables in this model, x, y, and…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=12461&DocID=3135
Integrate-and-Fire Neuron Model  [ Computer Program ]
  
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C. Thomson
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The Integrate-and-Fire model may be considered the oldest computational model of a neuron, and is also one of the simplest. The Integrate-and-Fire model (IF) was developed by Louis…
https://www.compadre.org/OSP/document/ServeFile.cfm?ID=12462&DocID=3137
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Results #1-#10 of 28

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