ISSN:
1573-2754
Keywords:
limit cycle
;
trajectory
;
annular region
;
inner(outer) boundary
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Mathematics
,
Physics
Notes:
Abstract In [1], by a transformation on the Lienard equation system (1) $$\frac{{dx}}{{dt}} = y - F(x), \frac{{dy}}{{dt}} = - g(x)$$ such that the trajectories of (1) on both left and right half-planes change into those integral curves of the new equation system merely on the right half-plane, A.F. Filippov shows that under some certain conditions the stable limit cycles of system (1) must exist. Applying the Filippov's method on the more generalized system (2) $$\frac{{dx}}{{dt}} = Q(x,y), \frac{{dy}}{{dt}} = P(x)$$ this paper provides a sufficient condition for the existence of the stable limit cycles of system (2).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02453775
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