Math 503 Advanced Calculus and Nonlinear Dynamics_ Fall 2020
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From Rakesh Rakesh December 03, 2020
We combine the information obtained in parts I and II to draw the phase portrait. -
From Rakesh Rakesh December 02, 2020
Nullclines and direction field chart for a competing species problem. -
From Rakesh Rakesh December 01, 2020
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 November 23, 2020
Duluc's criterion for the non-existence of closed orbits and the statement of the Poincare-Bendixson theorem followed by remarks. -
From Rakesh Rakesh November 19, 2020
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From Rakesh Rakesh November 19, 2020
Also includes Duluc's criterion for ruling out closed orbits. -
From Rakesh Rakesh November 17, 2020
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From Rakesh Rakesh November 11, 2020
An introduction to Nonlinear Dynamics. A model for the damped driven pendulum and the qualitative questions of interest for its motion. -
From Rakesh Rakesh November 11, 2020
What is a linear system of ODEs? -
From Rakesh Rakesh October 31, 2020
Brachistochrone with end point on a curve