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Suppose y' = f(y) is a two-dimensional system that is almost linear at an equilibrium point y(t) = ye: and let z' = Az
Suppose y' = f(y) is a two-dimensional system that is almost linear at an equilibrium point y(t) = ye: and let z' = Az be the corresponding linearized system. Suppose z = 0 is an asymptotically stable equilibrium point for z' = Az. Then y. is also an asymptotically stable equilibrium point for y = f(y). True False
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TRUE However if we care about what happens near an equilibrium point it often suffices ...
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Elementary Linear Algebra with Applications
Authors: Howard Anton, Chris Rorres
9th edition
471669598, 978-0471669593
