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9.3-4: Phase Plane Portraits - Colorado State University

9.3-4: Phase Plane Portraits - Colorado State University

www.math.colostate.edu

9.3-4: Phase Plane Portraits Classification of 2d Systems: x ... Phase Portraits and Time Plots for Cases A (pplane6) Saddle Ex.: A = 1 4 2 −1

  Phases, Panels, Portrait, Phase plane portraits, Phase portraits

www.konkur

www.konkur

dl.konkur.in

“fingerprints,” so to speak—in the phase plane portrait of the system x0 D Ax. The resulting gallery is shown in the two pages of phase plane portraits that compriseFigure5.3.16(pages315-316)attheendofthesection. Thenew5.3 application module (on dynamic phase plane portraits, page 319) shows how

  Phases, Panels, Portrait, Phase plane portraits, The phase plane

9.3-4: Phase Plane Portraits

9.3-4: Phase Plane Portraits

www.math.colostate.edu

Subcases of Case A Saddle λ1 > 0 > λ2 Half line trajectories y x L 1 L 2 Generic Trajectories L 1 L 2 x y • Generic trajectory in each region approaches • L1 for t → ∞ • L2 for t → −∞ Nodal source

  Phases, Panels, Portrait, Phase plane portraits

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