@article{806922,
      recid = {806922},
      author = {Vallejo, Juan C., and Sanjuán, Miguel A. F.},
      title = {Predictability of chaotic dynamics : a finite-time  Lyapunov exponents approach /},
      pages = {1 online resource.},
      abstract = {This book is primarily concerned with the computational  aspects of predictability of dynamical systems - in  particular those where observation, modeling and  computation are strongly interdependent. Unlike with  physical systems under control in laboratories, for  instance in celestial mechanics, one is confronted with the  observation and modeling of systems without the possibility  of altering the key parameters of the objects studied.  Therefore, the numerical simulations offer an essential  tool for analyzing these systems. With the widespread use  of computer simulations to solve complex dynamical systems,  the reliability of the numerical calculations is of  ever-increasing interest and importance. This reliability  is directly related to the regularity and instability  properties of the modeled flow. In this interdisciplinary  scenario, the underlying physics provide the simulated  models, nonlinear dynamics provides their chaoticity and  instability properties, and the computer sciences provide  the actual numerical implementation. This book introduces  and explores precisely this link between the models and  their predictability characterization based on concepts  derived from the field of nonlinear dynamics, with a focus  on the finite-time Lyapunov exponents approach. The method  is illustrated using a number of well-known continuous  dynamical systems, including the Contopoulos, Hénon-Heiles  and Rössler systems. To help students and newcomers quickly  learn to apply these techniques, the appendix provides  descriptions of the algorithms used throughout the text and  details how to implement them in order to solve a given  continuous dynamical system.},
      url = {http://library.usi.edu/record/806922},
      doi = {https://doi.org/10.1007/978-3-319-51893-0},
}