Teenagers Are Still Eating Tide Pods, But Don't Expect A Product Redesign

Tide detergent pods, from Procter & Gamble, are seen at a Safeway store in Wheaton, Md., in 2015. The pace of poisonings in the so-called Tide Pods Challenge is continuing to grow.

The pace of poisonings in the so-called Tide Pods Challenge continues to grow. The candy-like appearance of the packets draws easy criticism. Procter & Gamble says it's not planning a new design.

(Image credit: Gary Cameron/Reuters)

News : NPR http://ift.tt/2rTPWQb January 31, 2018 at 02:46AM

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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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