- Consider The Nonlinear System Given By Sr T 2x Y Y T X Y A Find And Classify All Equilibrium Points Of 1 (43.53 KiB) Viewed 11 times
Consider the nonlinear system given by Sr' (t) = -2x + y y' (t) = x² - y (a) Find and classify all equilibrium points of
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Consider the nonlinear system given by Sr' (t) = -2x + y y' (t) = x² - y (a) Find and classify all equilibrium points of
Consider the nonlinear system given by Sr' (t) = -2x + y y' (t) = x² - y (a) Find and classify all equilibrium points of this system. [4 marks] (b) Sketch the nullclines (indicating the direction field on the nullclines) and phase portrait of this system. Base on your sketch and linearization analysis, briefly describe the behavior of some typical solutions of this non-linear system. [4 marks] (c) Determine whether the given system is Hamiltonian? [4 marks]