Theoretical and experimental study of discrete behavior of Shilnikov chaos in a CO
2
laser |
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| Authors: | AN Pisarchik R Meucci FT Arecchi |
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| Institution: | (1) Centro de Investigaciones en Optica, Loma del Bosque 115, Col. Lomas del Campestre, 37150 Leon, Gto., Mexico, MX;(2) Istituto Nazionale di Ottica Applicata, L.E. Fermi 6, 50125 Firenze, Italy, IT;(3) Department of Physics, University of Firenze, 50125 Firenze, Italy, IT |
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| Abstract: | The discrete distribution of homoclinic orbits has been investigated numerically and experimentally in a CO2 laser with feedback. The narrow chaotic ranges appear consequently when a laser parameter (bias voltage or feedback gain)
changes exponentially. Up to six consecutive chaotic windows have been observed in the numerical simulation as well as in
the experiments. Every subsequent increase in the number of loops in the upward spiral around the saddle focus is accompanied
by the appearance of the corresponding chaotic window. The discrete character of homoclinic chaos is also demonstrated through
bifurcation diagrams, eigenvalues of the fixed point, return maps, and return times of the return maps.
Received 28 September 2000 and 27 October 2000 |
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| Keywords: | PACS 05 45 Ac Low-dimensional chaos – 05 45 Pq Numerical simulations of chaotic models – 42 55 Lt Gas lasers including excimer and metal-vapor lasers |
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