Solve the system y'=x x'=-x+ry-y^3 r is a real number. Solve for eigenvalues & stability of...

Solve the system

y'=x

x'=-x+ry-y^3

r is a real number. Solve for eigenvalues & stability of system. Show bifurcation value.

Expert Solution

Colby Messinger answered 2 years ago

x'=y-x+(x^3)/7 y' =-x Lyapunov function Ax^2+By^2 for A,B constant. Show stability & define circle for stability...

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Formulate Newton’s method for the system x^3 = y y^3 = x Note that this system...

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Consider the region R between the x-axis and the curve y = x^3 / 3 ,...

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