title: Alignment of Lyapunov Vectors: A Quantitative Criterion to Predict Catastrophes?
abstract: We argue that the alignment of Lyapunov vectors provides a quantitative criterion to predict catastrophes, i.e. the imminence of large-amplitude events in chaotic time-series of observables generated by sets of ordinary differential equations. Explicit predictions are reported for a Rössler oscillator and for a semiconductor laser with optoelectronic feedback.
authors.affiliation: Departamento de Física, Universidade Federal do Paraná, 81531-990 Curitiba, Brazil.|Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, Brazil.|Instituto de Altos Estudos da Paraíba, Rua Silvino Lopes 419-2502, 58039-190 João Pessoa, Brazil.|Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany.
authors.forename: Marcus W
authors.initials: MW
authors.lastname: Beims
authors.affiliation: Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, Brazil.|Instituto de Altos Estudos da Paraíba, Rua Silvino Lopes 419-2502, 58039-190 João Pessoa, Brazil.|Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany.|Institute for Multiscale Simulation, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91052 Erlangen, Germany.
authors.forename: Jason A C
authors.initials: JA
authors.lastname: Gallas