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Table 4 Matrix form and existence conditions of all \(2TR\)-periodic SHORT MAIN states. Names (first row) were chosen following our proposed link between states and percepts in auditory streaming (see Sect. 3). Names starting with S correspond to segregation (no unit responds to both tones), I to integration (one unit responds to both tones, the other is inactive or responding to both tones, too) and AS to bistability (one unit responds to both tones, the other unit to every other tone). The letter D corresponds to states for which one unit turns ON with a small delay after the other unit in at least one active tone interval. The letter B corresponds to states for which both units follow the same dynamics

From: Auditory streaming emerges from fast excitation and slow delayed inhibition

-

S

SB

SD

AP

AS

ASD

I

ID

IB

Matrix

\(\begin{array}{l} 1100 \\ 0000 \end{array} \)

\(\begin{array}{l} 1100 \\ 1100 \end{array} \)

\(\begin{array}{l} 1100 \\ 0100 \end{array} \)

\(\begin{array}{l} 1100 \\ 0011 \end{array} \)

\(\begin{array}{l} 1111 \\ 0011 \end{array} \)

\(\begin{array}{l} 1101 \\ 0011 \end{array} \)

\(\begin{array}{l} 1111 \\ 0000 \end{array} \)

\(\begin{array}{l} 1101 \\ 0111 \end{array} \)

\(\begin{array}{l} 1111 \\ 1111 \end{array} \)

Conditions

\(\begin{array}{l} C_{1} < \theta \\ C_{2}^{+} < \theta \\ C_{3}^{+} < \theta \end{array} \)

\(\begin{array}{l} C_{3}^{+} < \theta \\ C_{8}^{-} \geq \theta \end{array} \)

\(\begin{array}{l} C_{4}^{-} \geq \theta \\ C_{2}^{-} \geq \theta \\ C_{3}^{+} < \theta \\ C_{8}^{-} < \theta \end{array} \)

\(\begin{array}{l} C_{2}^{+} < \theta \\ C_{3}^{-} \geq \theta \end{array} \)

\(\begin{array}{l} C_{3}^{-} \geq \theta \\ C_{5}^{+} < \theta \\ C_{8}^{-} \geq \theta \end{array}\)

\(\begin{array}{l} C_{2}^{-} \geq \theta \\ C_{3}^{-} \geq \theta \\ C_{5}^{+} < \theta \\ C_{8}^{-} < \theta \end{array} \)

\(\begin{array}{l} C_{1} \geq \theta \\ C_{6}^{+} < \theta \end{array} \)

\(\begin{array}{l} C_{3}^{-} \geq \theta \\ C_{5}^{-} \geq \theta \\ C_{7}^{-} < \theta \end{array} \)

\(C_{7}^{-} \geq \theta \)

Short

−

\(C_{9}<\theta \)

\(C_{9}<\theta \)

−

\(C_{10}<\theta \)

\(C_{10}<\theta \)

−

\(C_{10}<\theta \)

\(C_{10}<\theta \)