Bifurcation and chaotic motion of a soliton in a long Josephson junction oscillator

✍ Scribed by S. Rajasekar; M. Lakshmanan

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 647 KB
• Volume: 167
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(90)90292-z

✦ Synopsis

The fluxon dynamics of a long Josephson junction (LJJ) is investigated numerically. The effect of the surface resistance of the superconductor on the bifurcation phenomenon is examined in detail. We show the occurrence of a period doubling route to chaos and the reappearance of low order periodic motions in the LJJ by varying the magnitude of the external force. The chaotic attractors of the LJJ are characterized using maximal Lyapunov exponents and a fractal (correlation) dimension. We show the existence of noise induced oscillations in a force free LJJ system. Finally the influence of noise on the periodic and chaotic dynamics is also presented.