LIST OF FIGURESFigure

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14 onto the universal proole corresponding to = 0:6. Diierent symbols correspond to data taken from the indicated intervals. The similarity property (26) is used in the construction of the Figure-see text for details. 18 LIST OF FIGURES Figure 1 Schematic of the various attractors for larger values of. The diagram is to scale and the various most strongly attracting solution regions are indicated. Figure 2 Interval C: Periodic homoclinic bursts for = 0:2. The energy and its phase plane are given. Figure 3 Interval C: Periodic homoclinic bursts for = 0:2. Time evolution of the 1st and 2nd Fourier modes. The graphs show the evolution of the coeecients of cos(x); sin(x) and cos(2x); sin(2x). Higher mode amplitudes have much lower amplitudes. Figure gives the phase planes of the energy as decreases. The values of and the number of relative minima in each curve are indicated on the Figure. Chaos sets in as the phase plane attains increasingly more turns which become innnitely many as an accumulation point is reached.

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تاریخ انتشار 1996