Research Article

Coupling -Deformed Dark Energy to Dark Matter

Table 2

Eigenvalues and stability of critical points.

Eigenvalues

and −0.7516−0.7516−0.0065−1.00654.60000.0100Existing condition is and .
Stable point if and are the given values for the negative eigenvalues in the second column.
Acceleration phase occurs if .
−0.7518−0.7518−0.0073−1.00734.10000.0100
−0.7521−0.7521−0.0083−1.00833.60000.0100
−0.7524−0.7524−0.0096−1.00963.10000.0100
−0.8249−0.8249−0.2994−1.29944.60000.5100
−0.8330−0.8330−0.3319−1.33194.10000.5100
−0.8431−0.8431−0.3723−1.37233.60000.5100
−0.8560−0.8560−0.4238−1.42383.10000.5100
−0.8850−0.8850−0.5401−1.54014.60001.0100
−0.8982−0.8982−0.5930−1.59304.10001.0100
−0.9143−0.9143−0.6573−1.65733.60001.0100
−0.9343−0.9343−0.7372−1.73723.10001.0100
−0.9354−0.9354−0.7414−1.74144.60001.5100
−0.9519−0.9519−0.8075−1.80754.10001.5100
−0.9716−0.9716−0.8865−1.88653.60001.5100
−0.9781−0.9781−0.9123−1.91234.60002.0100
−0.9957−0.9957−0.9826−1.98263.10001.5100
−0.9967−0.9967−0.9869−1.98694.10002.0100
−1.0148−1.0148−1.0591−2.05914.60002.5100
−1.0187−1.0187−1.0749−2.07493.60002.0100
−1.0348−1.0348−1.1392−2.13924.10002.5100
−1.0450−1.0450−1.1800−2.18003.10002.0100
−1.0581−1.0581−1.2324−2.23243.60002.5100
−1.0856−1.0856−1.3422−2.34223.10002.5100

Eigenvalues

, 
, 
, 
,
Existing condition is .
Stable point if and .
Acceleration phase occurs if .

Eigenvalues

−0.5000 −0.5000 1.0000 0.2000 2.5000 −0.5000Existing condition is and .
Unstable point.
Acceleration phase never occurs.
−0.5000 −0.5000 1.0000 0.3333 3.0000 −0.5000
−0.5000 −0.5000 1.0000 0.4286 3.5000 −0.5000
−0.5000 −0.5000 1.0000 0.5000 4.0000 −0.5000
1.0000 −1.0000 0 0 2.0000 −0.5000
1.0000 −1.0000 2.0000 0 2.0000 0.5000
1.0000 −1.0000 4.0000 0 2.0000 1.5000
1.0000 −1.0000 −2.0000 0 2.0000 −1.5000
−0.5000 −0.5000 1.0000 0 4.0000 −1.0000
−0.5000 −0.5000 1.0000 1.0000 2.5000 0
−0.5000 −0.5000 1.0000 1.0000 3.5000 0
−0.5000 −0.5000 1.0000 1.0000 4.0000 0
−0.5000 −0.5000 1.0000 1.5000 4.0000 0.5000
−0.5000 −0.5000 1.0000 1.5714 3.5000 0.5000
−0.5000 −0.5000 1.0000 1.6667 3.0000 0.5000
−0.5000 −0.5000 1.0000 1.8000 2.5000 0.5000
−0.5000 −0.5000 1.0000 2.0000 4.0000 1.0000
−0.5000 −0.5000 1.0000 2.1429 3.5000 1.0000
−0.5000 −0.5000 1.0000 2.3333 3.0000 1.0000
−0.5000 −0.5000 1.0000 2.5000 4.0000 1.5000
−0.5000 −0.5000 1.0000 2.6000 2.5000 1.0000
−0.5000 −0.5000 1.0000 2.7143 3.5000 1.5000
−0.5000 −0.5000 1.0000 3.0000 3.0000 1.5000
−0.5000 −0.5000 1.0000 3.0000 4.0000 2.0000
−0.5000 −0.5000 1.0000 3.2857 3.5000 2.0000
−0.5000 −0.5000 1.0000 3.4000 2.5000 1.5000
−0.5000 −0.5000 1.0000 3.6667 3.0000 2.0000
−0.5000 −0.5000 1.0000 4.2000 2.5000 2.0000
−0.5000 −0.5000 1.0000 −0.1429 3.5000 −1.0000
−0.5000 −0.5000 1.0000 −0.3333 3.0000 −1.0000
−0.5000 −0.5000 1.0000 −0.5000 4.0000 −1.5000
−0.5000 −0.5000 1.0000 −0.6000 2.5000 −1.0000
−0.5000 −0.5000 1.0000 −0.7143 3.5000 −1.5000
−0.5000 −0.5000 1.0000 −1.0000 3.0000 −1.5000
−0.5000 −0.5000 1.0000 −1.0000 4.0000 −2.0000
−0.5000 −0.5000 1.0000 −1.2857 3.5000 −2.0000
−0.5000 −0.5000 1.0000 −1.4000 2.5000 −1.5000
−0.5000 −0.5000 1.0000 −1.6667 3.0000 −2.0000
−0.5000 −0.5000 1.0000 −2.2000 2.5000 −2.0000

Eigenvalues

0.2634−0.1317−0.13172.07040.10000.7100Existing condition is and .
Unstable point.
Acceleration phase never occurs.
0.2634−0.1317−0.13172.42250.60000.7100
0.2634−0.1317−0.13172.77461.10000.7100
0.2634−0.1317−0.13173.12681.60000.7100
0.2634−0.1317−0.13173.47892.10000.7100
0.2634−0.1317−0.13173.83102.60000.7100
0.2634−0.1317−0.13174.18313.10000.7100
0.2634−0.1317−0.13174.53523.60000.7100
1.0273−0.8883−0.13902.01850.10002.7100
1.0273−0.8883−0.13902.11070.60002.7100
1.0273−0.8883−0.13902.20301.10002.7100
1.0273−0.8883−0.13902.29521.60002.7100
1.0273−0.8883−0.13902.38752.10002.7100
1.0273−0.8883−0.13902.47972.60002.7100
1.0273−0.8883−0.13902.57203.10002.7100
1.0273−0.8883−0.13902.66423.60002.7100
1.0368−0.8208−0.21602.02260.10002.2100
1.0368−0.8208−0.21602.13570.60002.2100
1.0368−0.8208−0.21602.24891.10002.2100
1.0368−0.8208−0.21602.36201.60002.2100
1.0368−0.8208−0.21602.47512.10002.2100
1.0368−0.8208−0.21602.58822.60002.2100
1.0368−0.8208−0.21602.70143.10002.2100
1.0368−0.8208−0.21602.81453.60002.2100
1.0437−0.5219−0.52192.04130.10001.2100
1.0437−0.5219−0.52192.24790.60001.2100
1.0437−0.5219−0.52192.45451.10001.2100
1.0437−0.5219−0.52192.66121.60001.2100
1.0437−0.5219−0.52192.86782.10001.2100
1.0437−0.5219−0.52193.07442.60001.2100
1.0437−0.5219−0.52193.28103.10001.2100
1.0437−0.5219−0.52193.48763.60001.2100
1.0485−0.5910−0.45752.02920.10001.7100
1.0485−0.5910−0.45752.17540.60001.7100
1.0485−0.5910−0.45752.32161.10001.7100
1.0485−0.5910−0.45752.46781.60001.7100
1.0485−0.5910−0.45752.61402.10001.7100
1.0485−0.5910−0.45752.76022.60001.7100
1.0485−0.5910−0.45752.90643.10001.7100