Analysis of the Emergence in Swarm Model Based on Largest Lyapunov Exponent

Table 7

LLEs of swarm model.

Group number	Shape	𝐿 (3000 s)	𝐿 (200 s)	𝐿 (400 s)
1	Cluster 1	0.0095	0.0869	0.0334
2	Cluster 2	−0.0286	0.0503	0.0872
3	Cluster 3	−0.0539	0.1419	−0.6736
4	Cluster 4	0.0373	0.0362	0.2653
5	Cluster 5	0.0433	−0.0860	−0.0861
6	Circle 1	0.0082	1.3863	0.4454
7	Circle 2	0.0087	−0.3193	0.1329
8	Circle 3	0.0709	1.4580	0.3903
9	Circle 4	0.0322	−0.0100	0.1900
10	Circle 5	0.0052	0.0031	0.2427
11	Line 1	0.0597	0.2769	0.0188
12	Line 2	0.0574	0.0537	0.0987
13	Line 3	0.1049	0.2252	−0.1421
14	Line 4	0.0179	0.2198	−0.5999
15	Line 5	−0.0387	0.2113	−0.1791
16	Scatter 1	0.0097	0.0224	−0.0055
17	Scatter 2	−0.0518	−0.0749	−0.0528
18	Scatter 3	0.0008	0.0539	0.0368
19	Scatter 4	0.0147	−0.0516	−0.0189
20	Scatter 5	−0.0204	−0.0741	−0.2575
21	Scatter 6	−0.0909	−0.0516	−0.3070
22	Scatter 7	0.0168	−0.0774	0.0066
23	Scatter 8	0.0165	−0.0949	−0.1714
24	Scatter 9	−0.0181	−0.0868	−0.0577
25	Scatter 10	0.0028	−0.0316	−0.0283
26	Scatter 11	−0.0048	0.0404	0.0009
27	Scatter 12	0.0189	−0.1528	−0.6711
28	Scatter 13	−0.0237	0.0689	−0.1177
29	Scatter 14	0.0006	0.0066	−0.0424
30	Scatter 15	0.0159	−0.1248	−0.0917