Work

Exceptional points in coupled dissipative dynamical systems

Year: 2015

Type: article

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 the 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: Physical Review E

DOI: 10.1103/physreve.91.052910

Authors: Jung-Wan Ryu, Woo-Sik Son, Dong-Uk Hwang, Soo-Young Lee, Sang Wook Kim

Institutions: Kyungpook National University, National Institute for Mathematical Sciences, Pusan National University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Ministry of Science, ICT and Future Planning, National Research Foundation of Korea

Awards: G2420680839, G5188151187, G7069567134, G7403750263