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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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