Table 8 The best optimized set of weighs through ANN-PSO-NNA for y (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

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

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

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

2.411902882

9.99999947

− 4.288030635

− 0.867818886

1.344197673

1.714961449

0.528883147

5.283596026

-1.351852251

− 4.783753496

8.893206089

2.059829198

2.83734712

− 0.921885445

− 3.361964157

1.468945954

− 0.500428421

7.177176409

4.763736931

1.363274309

− 2.368845466

− 3.769246667

− 8.293914627

0.682026543

− 4.806824196

4.49947074

0.399927884

1.636435577

2.016901902

3.344084251

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