Recent content by ZiniaDuttaGupta

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    MHB Stability, phase portrait, bifurcations

    I am stuck with another one -- Assume that f(x) has the following graph: (for graph please see the attachment) Consider the (1-dimensional) ODE: X’ = f(x): (a) Find all the xed points, and study their stability. (b) Draw the phase portrait of the system, as well as the graphs of the...
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    MHB What are the fixed points and stability of a non-linear system of ODEs?

    I need help with the following so please help me -- Consider the following non-linear system X’ = x² - ay Y’ = y² - y(a) Find the fixed points of this system. (depending on a, there may be different fixed points!) (b) Study stability of each fixed point via linearization. In the case the...
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    MHB Solve Linear System of ODEs | x(0)=x0,y(0)=y0,z(0)=z0

    I have another question so please help me. here we go -- Consider the following linear system of ODE : X’ = -x – y Y’ = x + 3y Z’ = 4x + 6y - z Note that the matrix of this system is exactly the same as A = [ 1 -1 0 1 3 0 4 6 -1 ] (a) Study the stability of the fixed...