Abstract
Abstract A discussion is presented of the possibility of applying the methods developed in /1, 2/ to the case of arbitrary values of the navigation constant, thus permitting, in particular, treatment of the case in which this constant is less than unity (weak regulation), as well as cases in which the value of the constant lies between 1 and 2. It is shown that by considering the motion on a Riemann surface one can avoid the complications due to the fact that the right-hand sides of the differential equations are multivalued functions. Partition of the parameter plane, as developed previously in /1/, is extended to the general case, thus making it possible in principle to carry out a qualitative investigation of the nature of the motion (including stability and controllability), without actually solving the equations. An example is presented.
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