Torus doubling

What is it about?

So far it is believed that the torus doubling occurs only finite number of times. In this letter, we report our experimental observation of a certain kind of torus doubling called swollen shape bifurcation occurs infinite number of times and leads to the birth of strange nonchaotic attractor. In the Poincaré of section, the torus undergoes a series of period doubling and after a particular value of control parameter the infinitely period doubled torus in the localised regime termed as chaotic band. While the Lyapunov exponent of the attractor has negative value and confirms the attractor become strange and nonchaotic. Experimentally observed results are confirmed by Poincaré map, singular-continuous spectrum analysis and finite time Lyapunov exponent

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