LIFESCI 30B Lecture Notes - Lecture 11: Equilibrium Point, If And Only If, Tangent Space
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How do we tell whether an equilibrium point of a system of differential equations is stable unstable etc . Suppose we find an equilibrium point . that. I l * > o then x* is an unstable eq . point. If xl *< 0 then x* is a stable eg . point . E l *=o thfanthfeu goal be able to do this for a differential equation with. What does linear " mean when you have. A system of differential equations is definedby g y=yy# as. Variables . ftp. mail. ffegr#neth f : ( stale f : r space) tangent space. A system of difference equations is defined by. 2 dimensional vectors ( whose components are real # ) Y where and y are real numbers } Rk is called ( i) f: f) c. f ( f ) for all vectors a. True for f : linearfunhio_ ( domain ) and.