supported by the National Natural Science Foundation of China (Grant Nos. 10932002, 10872084, and 10472040);the Outstanding Young Talents Training Fund of Liaoning Province of China (Grant No. 3040005);the Research Program of Higher Education of Liaoning Prov- ince, China (Grant No. 2008S098);the Program of Supporting Elitists of Higher Education of Liaoning Province, China (Grant No. 2008RC20);the Program of Constructing Liaoning Provincial Key Laboratory, China (Grant No. 2008403009)
Chaplygin’s nonholonomic systems are familiar mechanical systems subject to unintegrable linear constraints, which can be reduced into holonomic nonconservative systems in a subspace of the original state space. The ...