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A new technique is given to detect the minimal period of periodic solutions to autonomous systems.
The map T has no fixed points nor periodic points of minimal period two in Δ.
Definition Let F ( p ) be the set of periodic orbits of minimal period p. They are called prime orbits.
For periodic function this inclusion just means that the minimal period of is a multiple of the minimal period of.
Claim: x ˜ has P as its minimal period.
Hence x ˜ has P as its minimal period.
Similar(48)
The map T has no fixed points nor periodic points of minimal period-two in Δ. ii.
If has no fixed point nor periodic points of minimal period-two in, then the endpoints of belong to.
Consequently, equation (8) has three minimal period-two solutions.
System (1.1) has no minimal period-two solution.
Consequently, equation (8) has no minimal period-two solution.
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