Table 9 The best optimized set of weighs through ANN-PSO-NNA for z (t) for with \({\varvec{\sigma}}\) = 1, R = 2 and B = 3.

From: Neuro-computing solution for Lorenz differential equations through artificial neural networks integrated with PSO-NNA hybrid meta-heuristic algorithms: a comparative study

\({w}_{{z}_{i}}\)

\({b}_{{z}_{i}}\)

\({a}_{{z}_{i}}\)

− 1.757509396

10.00000000

− 0.354934701

− 3.075441723

− 5.344302325

− 2.157892592

− 5.648846786

− 5.184966581

3.82154196

0.237772347

10.00000000

− 2.035385467

3.468149774

5.055246146

− 4.682569478

6.185459959

6.268931489

2.880252387

2.621306784

− 4.23911228

0.144111911

7.381804872

6.671293763

0.110750982

1.696717528

3.249311372

4.184779795

− 6.49445449

− 5.520027551

4.058179226

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