  This Response is concerned with the recent Comment of Ruiz-Herrera,
"Limitations of the Method of Lagrangian Descriptors" [arXiv:1510.04838],
criticising the method of Lagrangian Descriptors. In spite of the significant
body of literature asserting the contrary, Ruiz-Herrera claims that the method
fails to reveal the presence of stable and unstable manifolds of hyperbolic
trajectories in incompressible systems and in almost all linear systems. He
supports this claim by considering the method of Lagrangian descriptors applied
to three specific examples. However in this response we show that Ruiz-Herrera
does not understand the proper application and interpretation of the method
and, when correctly applied, the method beautifully and unambiguously detects
the stable and unstable manifolds of the hyperbolic trajectories in his
examples.
