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Unformatted text preview: nullclines are: (Download SSG8.7: 2D Nonlinear , this document has not been properly proofread) xnullclines : x =0 and y = h ( x ) where f ( x , h ( x ) ) =0 ynullclines : y =0 and y = k ( x ) where g ( x , k ( x ) ) =0 5. Phase space diagram in xy plane. Plot regions where dx dt > ( < )0 and dy dt > ( < )0 by looking at the signs of f ( x , h ( x ) ) and g ( x , k ( x )) in different zones mapped out by the plots of the nullclines in the positive quadrant of the xy plane. Arbitrary example an equilibrium center and an attractor at (0,0). The separatrix (dotted line) is approximate 6. Preypredator equations. See various texts including Case 2000. Also see http://www.scholarpedia.org/article/Predatorprey_model...
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This note was uploaded on 02/09/2011 for the course EEP 115 taught by Professor Waynem.getz during the Fall '10 term at Berkeley.
 Fall '10
 WayneM.Getz

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