Different feasibility evaluation are achieved with different indices.
Since f ∈ G 4, f has two different periodic orbit p and q in H f (p) with different indices.
In general, a non-hyperbolic homoclinic class H f ( p ) contains saddle periodic points with different indices.
Then, by Lemma 2.9, there is Z ∈ U X X ) such that Z has two hyperbolic periodic orbits η 1, η 2 ∈ P ( Z ) with different indices.
Since f ∈ G 2 we know that f ∈ H n. Thus there are p, q distinct hyperbolic periodic points of f with different indices.
Since f ∈ G 4, there exist p, r ∈ P ( f ) with the same period such that d ( p, r ) < η with different indices.
Since H f ( p ) ⊂ C f ( p ), we know that the chain component C f ( p ) may contain saddle periodic points with different indices in general.
Also, the threshold value with different indices, such as free chlorides, [Cl−]/[OH−], total chlorides and [Cl−]/[H+] has been measured.
For any C1-neighborhood U ( f ) of f there is g ∈ U ( f ) such that g has two distinct hyperbolic periodic points p g, q g ∈ P g) with different indices then f has two distinct hyperbolic periodic points p, q ∈ P (f) with different indices.
As shown in the large panel, the spectrum in the low-energy regime ((0<log (p/p_0)<0.78)) and the high-energy regime ((0.78<log (p/p_0)<2.5)) is approximated by power-law distributions <span class="lh">with different indices.
Then there is g 1 ∈ U ( f ) close to g such that g 1 has two hyperbolic periodic points γ 1, γ 2 ∈ Λ g 1 ( U ) ∩ P ( g 1 ) with different indices.
