Phys. Rev. Lett. 99, 130601 (2007) [4 pages]Characterizing Dynamics with Covariant Lyapunov VectorsReceived 7 June 2007; published 24 September 2007 A general method to determine covariant Lyapunov vectors in both discrete- and continuous-time dynamical systems is introduced. This allows us to address fundamental questions such as the degree of hyperbolicity, which can be quantified in terms of the transversality of these intrinsic vectors. For spatially extended systems, the covariant Lyapunov vectors have localization properties and spatial Fourier spectra qualitatively different from those composing the orthonormalized basis obtained in the standard procedure used to calculate the Lyapunov exponents. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.130601
DOI:
10.1103/PhysRevLett.99.130601
PACS:
05.70.Ln, 05.90.+m, 45.70.−n, 87.18.Ed
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.