Lyapunov exponent relationship with chaotic behavior

Question

Many papers used positive Lyapunov exponent as an indicator that a map has chaotic behavior and having sensitive dependence on initial conditions.

See for example:

1. Hua, Z., Zhou, Y., Pun, C. M., & Chen, C. P. (2015). 2D Sine Logistic modulation map for image encryption. Information Sciences, 297, 80-94.

2. Zhu, H., Zhao, Y., & Song, Y. (2019). 2D logistic-modulated-sine-coupling-logistic chaotic map for image encryption. IEEE Access, 7, 14081-14098.

However, there are papers shows that there are maps has positive Lyapunov exponent and do not have a sensitive dependence on initial conditions property, and vice versa.

See for example:

1. Balibrea, F., & Caballero, M. V. (2013). Stability of orbits via Lyapunov exponents in autonomous and nonautonomous systems. International Journal of Bifurcation and chaos, 23(07), 1350127.

2. Balibrea, F., & Caballero, M. V. (2014). Examples of Lyapunov Exponents in Two-Dimensional Systems. In Nonlinear Maps and their Applications (pp. 9-15). Springer, New York, NY.

The question: Does the Lyapunov exponent is a sufficient indicator of chaotic behavior and the sensitive dependence on initial consultations or not?