Pence Urges Americans To Wear Masks To Stop Spread Of COVID-19

Vice President Pence removes his mask as he arrives at the lectern to speak to the U.S. Public Health Service at its headquarters in Rockville, Md., on Tuesday.

The vice president wore a mask during an appearance in Rockville, Md. Despite a surge in new cases, Pence insisted the country was "in a much better place than four months ago, even two months ago."

(Image credit: Jacquelyn Martin/AP)

News : NPR https://ift.tt/3dNekFW July 01, 2020 at 04:59AM

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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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