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Competing species III (phase portrait)

We combine the information obtained in parts I and II to draw the phase portrait.

From  Rakesh Rakesh on December 3rd, 2020 0 likes 11 plays 0  

Competing species II (Nullclines)

Nullclines and direction field chart for a competing species problem.

From  Rakesh Rakesh on December 2nd, 2020 0 likes 21 plays 0  

Competing species I

Drawing the global phase portrait for a system of ODEs modeling two species competing for the same source of food in an ecosystem.

From  Rakesh Rakesh on December 1st, 2020 0 likes 16 plays 0  

Closed orbits II and the Poincare-Bendixson theorem

Duluc's criterion for the non-existence of closed orbits and the statement of the Poincare-Bendixson theorem followed by remarks.

From  Rakesh Rakesh on November 23rd, 2020 0 likes 25 plays 0  

Linearization near a fixed point II

From  Rakesh Rakesh on November 19th, 2020 0 likes 18 plays 0  

Closed orbits I

Also includes Duluc's criterion for ruling out closed orbits.

From  Rakesh Rakesh on November 19th, 2020 0 likes 19 plays 0  

First order linear systems of ODEs - II

From  Rakesh Rakesh on November 12th, 2020 0 likes 11 plays 0  

Introduction and the damped driven pendulum

An introduction to Nonlinear Dynamics. A model for the damped driven pendulum and the qualitative questions of interest for its motion.

From  Rakesh Rakesh on November 11th, 2020 0 likes 22 plays 0  

First order linear system of ODEs - I

What is a linear system of ODEs?

From  Rakesh Rakesh on November 11th, 2020 0 likes 7 plays 0