D.C. Mayor Bowser Blames Outside Agitators As Cause Of Weekend Violence

Washington, D.C., Mayor Muriel Bowser said that agitators from elsewhere had arrived in the District, intent on battling police. Bowser is seen here at a press conference earlier this month.

Some 70% of those arrested in weekend unrest came from outside the District, police say. Bowser says the U.S. attorney's office has failed to prosecute those who have been arrested in violence.

(Image credit: Patrick Semansky/AP)

News : NPR https://ift.tt/31LGJJM September 01, 2020 at 02:53AM

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Solving Van der Pol equation with ivp_solve

Van der Pol’s differential equation is The equation describes a system with nonlinear damping, the degree of damping given by μ. If μ = 0 the system is linear and undamped, but for positive μ the system is nonlinear and damped. We will plot the phase portrait for the solution to Van der Pol’s equation in Python using SciPy’s new ODE solver ivp_solve . The function ivp_solve does not solve second-order systems of equations directly. It solves systems of first-order equations, but a second-order differential equation can be recast as a pair of first-order equations by introducing the first derivative as a new variable. Since y is the derivative of x , the phase portrait is just the plot of ( x , y ). If μ = 0, we have a simple harmonic oscillator and the phase portrait is simply a circle. For larger values of μ the solutions enter limiting cycles, but the cycles are more complicated than just circles. Here’s the Python code that made the plot. from scipy import linspace from ...

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