Bifurcation in a Discrete-Time Piecewise Constant Dynamical System

Table 6

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(𝑧₋₂,𝑧₋₁)∈𝐽^(𝑘)𝐽^(𝑝)×𝐽^(𝑙)𝐽^(𝑚)

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B1⇒(𝑧_2𝑘,𝑧_2𝑘+1)∈𝑅⁻₁𝑅⁻₁×𝑅⁺₁𝑅⁺₁

B2⇒(𝑧_2𝑘,𝑧_2𝑘+1)∈𝑅⁻₁𝐽^{(𝑝−𝑘−1)}×𝐽^{(𝑙−𝑘−1)}𝑅⁺₁

B3⇒(𝑧_2𝑝,𝑧_2𝑝+1)∈𝐽^{(𝑘−𝑝−1)}𝑅⁻₁×𝑅⁺₁𝐽^{(𝑚−𝑝−1)}

B4⇒(𝑧_2𝑝,𝑧_2𝑝+1)∈𝐽^{(𝑘−𝑝−1)}𝑅⁻₁×𝑅⁺₁𝐽^{(𝑚−𝑝−1)}

B5⇒(𝑧_2𝑝,𝑧_2𝑝+1)∈𝑅⁺₁𝑅⁻₁×𝑅⁺₁𝑅⁻₁

B6⇒(𝑧_2𝑙,𝑧_2𝑙+1)∈𝐽^{(𝑘−𝑙−1)}𝑅⁺₁×𝑅⁻₁𝐽^{(𝑚−𝑙−1)}

B7⇒(𝑧_2𝑙,𝑧_2𝑙+1)∈𝑅⁺₁𝑅⁺₁×𝑅⁻₁𝑅⁻₁

B8⇒(𝑧_2𝑙,𝑧_2𝑙+1)∈𝑅⁻₁𝑅⁺₁×𝑅⁻₁𝑅⁺₁

B9⇒(𝑧_2𝑚,𝑧_2𝑚+1)∈𝑅⁺₁𝐽^{(𝑝−𝑚−1)}×𝐽^{(𝑙−𝑚−1)}𝑅⁻₁

B10⇒(𝑧_2𝑘,𝑧_2𝑘+1)∈𝑅⁻₁𝐽^{(𝑝−𝑘−1)}×𝐽^{(𝑙−𝑘−1)}𝑅⁺₁

B11⇒(𝑧_2𝑝,𝑧_2𝑝+1)∈𝑅⁺₁𝑅⁻₁×𝑅⁺₁𝑅⁻₁

B12⇒(𝑧_2𝑙,𝑧_2𝑙+1)∈𝑅⁻₁𝑅⁺₁×𝑅⁻₁𝑅⁺₁

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