1 Department of Informatics and Mathematical Modeling, Technical University of Denmark2 Department of Physics, Technical University of Denmark3 Technical University of Denmark4 Department of Applied Mathematics and Computer Science, Technical University of Denmark
The Melnikov function for prediction of Smale horseshoe chaos is applied to the rf-driven Josephson junction. Linear and quadratic damping resistors are considered. In the latter case the analytic solution including damping and dc bias is used to obtain an improved threshold curve for the onset of chaos. The prediction is compared to new computational solutions. The Melnikov technique provides a good, but slightly low, estimate of the chaos threshold.
Physical Review B Condensed Matter, 1986, Vol 33, Issue 7, p. 4686-4691