Thanks for looking that up, m1469, I shall search the net myself when I get a spare minute.
Kikuyu grass was extensively planted in suburban Auckland lawns in the fifties, largely because it stays comparatively thick and green even in our summer. Most people then found the problem I spoke of and bought motor mowers. I have never owned a motor mower - smelly, noisy, expensive and dangerous. There are also the fitness, therapeutic and meditative aspects of hand mowers, but everyone neglects these.
What is remarkable is the rapidity with which the grass changes from one state to the other. I can be mowing away quite happily one week in February, then the very next week it feels like wire tying the mower in knots. Come April or May (this weekend actually - that's what put the question into my head) the trouble suddenly vanishes and the lawn reverts to a soft green carpet for another nine months.
Starch levels - seems plausible.