Similar to the discussion of Theorems 16 and 17, we can prove that the system (2) has an order one periodic solution which passes through a point M [member of] [bar.BD] and is orbitally
Because [[GAMMA].sub.**] is unique and orbitally
attractive, there exists a [T.sub.0] such that [rho]([pi](t, [p.sub.0]), [[GAMMA].sub.**]) < [[epsilon].sub.0] for [for all][[epsilon].sub.0] > 0 and [p.sub.0] [member of] M([p.sub.0] > [y.sub.H]), set [p.sub.**] = [[GAMMA].sub.**] [intersection] M.
If 1 - [h.sub.1] - ([[eta].sub.0]/([h.sub.1] + a)) > 0 and [beta] [greater than or equal to] 1, then the periodic solution with initial point [C.sub.0]([h.sub.1], [[eta].sub.0]) (where [[eta].sub.0] > [??]) is orbitally
In Theorem 7, the semitrivial periodic solution (0, [eta](t)) of system (6) is orbitally
asymptotically stable if 1 - [[PHI].sup.-1] < [E.sub.1] (see Figure 4) and the parameters are given A = 5,q = 0.3, B = 3.5, H = 0.4, [E.sub.1] = 0.3, [E.sub.2] = 0.6.
Therefore, the OOPS is orbitally
By Theorem 7, we know that the Hopf bifurcation is supercritical: the bifurcating periodic solutions exist for [tau] < [[tau].sup.*] and they are orbitally
In , the authors calculated the masses of baryons with the quadratic mass relations for ground and orbitally
The cradle has a low voltage DC motor which rocks it orbitally
Materials that can be orbitally
formed include plastics, laminates, composites and other non-metallics, as well as metals.
Automatic flying cut-off saw mounted below table is orbitally
operated and has a manually adjustable envelope.
Climate experts think these orbitally
induced insolation changes are the pacemaker for the glacial cycle, setting the Earth's climate swinging between warm and cold periods.
nonexpansive mappings," Bulletin of the Australian Mathematical Society, vol.