• Rapid Communication

Route to bursting via pulse-shaped explosion

Xiujing Han, Qinsheng Bi, and Jürgen Kurths
Phys. Rev. E 98, 010201(R) – Published 5 July 2018

Abstract

This Rapid Communication reports on the discovery of a route to bursting, called a pulse-shaped explosion (PSE), for a paradigmatic class of nonlinear oscillators. We find that both an equilibrium and a limit cycle can exhibit pulse-shaped sharp quantitative changes in relation to the variation of system parameters, which are interesting explosive behaviors, the PSE. It leads to large-amplitude oscillations in the rest phase (i.e., small-amplitude oscillations) of bursting, giving rise to additional active phases alternating with the rest phase, and finally determines compound bursting structures. This way, the route to complex bursting dynamics by PSE is explained and its robustness is shown. PSE opens different ways for the control dynamics of complex systems.

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  • Received 12 February 2018
  • Revised 2 May 2018

DOI:https://doi.org/10.1103/PhysRevE.98.010201

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Xiujing Han1,2,3,*, Qinsheng Bi1, and Jürgen Kurths2,3

  • 1Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang Jiangsu 212013, People's Republic of China
  • 2Department of Physics, Humboldt University, Berlin 12489, Germany
  • 3Potsdam Institute for Climate Impact Research, Potsdam 14473, Germany

  • *xjhan@mail.ujs.edu.cn

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Issue

Vol. 98, Iss. 1 — July 2018

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