B8. Consider the following system of differential equations i = (A – 1)x + y ý = r - y+xz + yz ż = -z+ x? + y? where A is a real parameter. (a) Find the value of A that any bifurcation occurs for this system near the origin.

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Chapter2: Second-order Linear Odes
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B8. Consider the following system of differential equations
i = (A – 1)x + y
ý = x – y+xz + yz
ż = -z+ a² + y?
where A is a real parameter.
(a) Find the value of A that any bifurcation occurs for this system near the origin.
Transcribed Image Text:B8. Consider the following system of differential equations i = (A – 1)x + y ý = x – y+xz + yz ż = -z+ a² + y? where A is a real parameter. (a) Find the value of A that any bifurcation occurs for this system near the origin.
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