92 citations · 225 across the 6 of their papers we have counts for
6 papers
Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems
Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins +1
In this paper we introduce a new technique for depicting the phase portrait of stochastic differential equations. Following previous work for deterministic systems, we represent th…
The Chaotic Saddle in the Lozi map, autonomous and non-autonomous versions
Carlos Lopesino, Francisco Balibrea-Iniesta, Stephen Wiggins +1
In this paper we prove the existence of a chaotic saddle for a piecewise linear map of the plane, referred to as the Lozi map. We study the Lozi map in its orientation and area pre…
Lagrangian Descriptors for Two Dimensional, Area Preserving, Autonomous and Nonautonomous Maps
Carlos Lopesino, Francisco Balibrea-Iniesta, Stephen Wiggins +1
In this paper we generalize the method of Lagrangian descriptors to two dimensional, area preserving, autonomous and nonautonomous discrete time dynamical systems. We consider four…
Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautomous Henon Map
Francisco Balibrea-Iniesta, Carlos Lopesino, Stephen Wiggins +1
In this paper we analyze chaotic dynamics for two dimensional nonautonomous maps through the use of a nonautonomous version of the Conley-Moser conditions given previously. With th…
A Theoretical Framework for Lagrangian Descriptors
Carlos Lopesino, Francisco Balibrea-Iniesta, Víctor J. García-Garrido +2
This paper provides a theoretical background for Lagrangian Descriptors (LDs). The goal of achieving rigourous proofs that justify the ability of LDs to detect invariant manifolds…
Response to: "Limitations of the Method of Lagrangian Descriptors" [arXiv:1510.04838]
F. Balibrea-Iniesta, J. Curbelo, V. J. García-Garrido +4
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 D…