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Exceptional points in coupled dissipative dynamical systems | | Jung-Wan Ryu
; Woo-Sik Son
; Dong-Uk Hwang
; Soo-Young Lee
; Sang Wook Kim
; | | Date: |
30 Apr 2015 | | Abstract: | We study the transient behavior in coupled dissipative dynamical systems
based on the linear analysis around the steady state. We find that the
transient time is minimized at a specific set of system parameters and show
that at this parameter set, two eigenvalues and two eigenvectors of Jacobian
matrix coalesce at the same time, this degenerate point is called the
exceptional point. For the case of coupled limit cycle oscillators, we
investigate the transient behavior into the amplitude death state, and clarify
that the exceptional point is associated with a critical point of frequency
locking, as well as the transition of the envelope oscillation. | | Source: | arXiv, 1504.8085 | | Services: | Forum | Review | PDF | Favorites | |
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