Table 2.

Comparison of algorithms for parameter identification.

Algorithm	Hénon Map		Cat Map		Rank
	Mean J	Best J	Mean J	Best J
ABC	$5.6690\times {10}^{-14}$	$1.2474\times {10}^{-15}$	$3.2731\times {10}^{-1}$	$2.1897\times {10}^{-4}$	9
BSA	$1.0061\times {10}^{-16}$	$2.0620\times {10}^{-18}$	$6.4257\times {10}^{-10}$	$2.4368\times {10}^{-14}$	8
DE	$2.1233\times {10}^{-16}$	$3.7411\times {10}^{-22}$	$7.6605\times {10}^{-13}$	$2.2675\times {10}^{-15}$	6
APSO	$3.3874\times {10}^{-19}$	$5.6299\times {10}^{-23}$	$5.2501\times {10}^{-16}$	$8.9700\times {10}^{-19}$	5
PSO	$4.1570\times {10}^{-16}$	$1.2748\times {10}^{-20}$	$1.1260\times {10}^{-10}$	$4.2450\times {10}^{-14}$	7
IPSO $(p=10)$	$9.6025\times {10}^{-24}$	$1.7454\times {10}^{-31}$	$3.8624\times {10}^{-22}$	$5.2821\times {10}^{-26}$	4
IPSO $(p=100)$	$6.2087\times {10}^{-33}$	0	$9.8169\times {10}^{-28}$	0	3
IPSO $(p=500)$	$1.8720\times {10}^{-33}$	0	$5.2389\times {10}^{-30}$	0	1
IPSO $(p=1000)$	$4.0058\times {10}^{-33}$	0	$8.3194\times {10}^{-30}$	0	2