Table 2 Lyapunov exponent value and DKY dimension for varying control parameter “d”.

From: Image adaptive encryption using EfficientNet B3 feature guided multi scroll chaotic map with modulo controlled pseudo parallel processing

d

LE₁

LE₂

LE₃

LE₄

DKY dimension

0.0001

2.0457

0.6848

0.6839

− 10.4714

3.3261

0.0003

2.0440

0.6943

0.6936

− 9.4808

3.3620

0.0005

2.0463

0.6897

0.6889

− 9.7431

3.3515

0.0007

2.0470

0.6905

0.6899

− 8.6464

3.3964

0.0009

2.0447

0.6949

0.6941

− 8.5688

3.4007

0.0011

2.0439

0.6968

0.6962

− 8.8606

3.3879

0.0013

2.0442

0.6907

0.6899

− 8.1583

3.4198

0.0015

2.0465

0.6785

0.6778

− 8.1755

3.4162

0.0017

2.0470

0.6890

0.6883

− 7.8993

3.4335

0.0019

2.0440

0.6940

0.6933

− 7.8454

3.4374