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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 significantbody of literature asserting the contrary, Ruiz-Herrera claims that the methodfails to reveal the presence of stable and unstable manifolds of hyperbolictrajectories in incompressible systems and in almost all linear systems. Hesupports this claim by considering the method of Lagrangian descriptors appliedto three specific examples. However in this response we show that Ruiz-Herreradoes not understand the proper application and interpretation of the methodand, when correctly applied, the method beautifully and unambiguously detectsthe stable and unstable manifolds of the hyperbolic trajectories in hisexamples.

Response to: "Limitations of the Method of Lagrangian Descriptors" [arXiv:1510.04838]