| Definitions |
For a periodic solution x(t), there is a number T, not equal to 0, such that x(t+T) = x(t) for t ∈ R. All possible such T are called periods of this periodic solution; the continuity of x(t) implies that either x(t) is independent of t or that all possible periods are integral multiples of one of them — the minimal period T0>0. When one speaks of a periodic solution, it is often understood that the second case applies, and T0 is simply termed the period.
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| definition |
For a periodic solution x(t), there is a number T, not equal to 0, such that x(t+T) = x(t) for t ∈ R. All possible such T are called periods of this periodic solution; the continuity of x(t) implies that either x(t) is independent of t or that all possible periods are integral multiples of one of them — the minimal period T0>0. When one speaks of a periodic solution, it is often understood that the second case applies, and T0 is simply termed the period.
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