Abstract
This chapter deals with the application of the HODMD and STKD methods to several pattern forming systems. These include the one-dimensional complex Ginzburg–Landau equation, with both Neumann and periodic boundary conditions, and two thermal convection problems, namely the extremely simple Lorenz system and that associated with thermal convection in a rotating spherical shell. Concentrating in permanent dynamics, these problems give periodic and quasiperiodic dynamics, which are discerned by the HODMD method. Some of these problems allow for the existence of TWs, which are identified by the STKD method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Higher Order Dynamic Mode Decomposition and Its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
