9.2 Linear and Almost Linear Systems
We now discuss the behavior of solutions of the autonomous system
near an isolated critical point where A critical point is called isolated if some neighborhood of it contains no other critical point. We assume throughout that the functions f and g are continuously differentiable in a neighborhood of .
We can assume without loss of generality that Otherwise, we make the substitutions Then and so (1) is equivalent to the system
that has (0, ...
Get Differential Equations and Linear Algebra, 4th Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.