Bifurcation analysis of a mechanical dynamometer with spring

The adequate and essential conditions for chaotic motions of a mechanical dynamometer with spring are studied by the Melnikov's method. Further more, the global bifurcation diagram of the system is obtained; and the transformation including periodic motion, jumping, doubling bifurcation motion, quasi-periodic motion, and chaotic motion. The system could entrance the chaotic motion through the route of quasi-periodic. The system could return periodic motion from chaotic motion by reverse bifurcation. Besides that, the bifurcation curve has the property of self-similitude.