2020/07/06 by Francesco Marino, Giovanni Giacomelli · 10 citations
Computer Science · Environmental Science · Mathematics · Physics and Astronomy · #Character (mathematics) #Computer science #Dynamical systems theory #Ecosystem dynamics and resilience #Interpretation (philosophy) #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #Representation (politics) #Space (punctuation) #Spacetime #Theoretical computer science #nlin.PS #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.102.052217
published in Physical review. E 102(5), 052217 (American Physical Society)
arxiv created 2020/07/06 · openalex publication_date 2020/11/24 · arxiv updated 2020/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Dynamical systems with long-delay feedback can exhibit complicated temporal phenomena, which once reorganized in a two-dimensional space are reminiscent of spatiotemporal behavior. In this framework, a normal forms description has been developed to reproduce the dynamics, and the opportunity to treat the corresponding variables as true space and time has since been established. However, recently, an alternative approach has been proposed [F. Marino and G. Giacomelli, Phys. Rev. E 98, 060201(R) (2018)2470-004510.1103/PhysRevE.98.060201] with a different interpretation of the variables involved, which better takes into account their physical character and allows for an easier determination of the normal forms. In this paper, we extend such idea and apply it to a number of paradigmatic examples, paving the way to a rethinking of the concept of spatiotemporal representation of long-delayed systems.