O Loving Hate!
In 1988, Harvard mathematician Steven Strogatz hit on a new way to teach differential equations. Juliet loves Romeo, but Romeo is fickle: The more she warms to him, the colder he becomes, but when her interest wanes his feelings grow. She, on the other hand, tends to echo his feeling for her, returning love for love and hate for hate: dr/dt = –aj, dj/dt = br, where r(t) = Romeo’s love/hate for Juliet at time t j(t) = Juliet’s love/hate for Romeo at time t. Positive values of r, j signify love, negative values signify hate, and the parameters a,...
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