Homework4_2010

Homework4_2010 - ME 580 Nonlinear Systems Home Work No. 4...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 580 Nonlinear Systems Home Work No. 4 Due: October 21, 2010 Q1. Sketch the phase diagrams for the following linear systems and classify the equilibrium points. (i) 5, x x y y x y     ; (ii) 4 2 , 3 2 x x y y x y   (iii) 2, x x y y x y    Q2. Locate and classify the equilibrium points of the following systems. Sketch the phase diagrams: it will be helpful to obtain isoclines and path directions at other points in the field. (i) ,2 x x y y x y xy      ; (ii) 2 ,1 x x y y x   Q3. Use Bendixson’s theorem to show that the response amplitudes a, b for the van der Pol equation in the ‘van der Pol’ plane described by the equations
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online