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Heteroclinic cycles between unstable attractors

Publication ,  Journal Article
Broer, H; Efstathiou, K; Subramanian, E
Published in: Nonlinearity
June 1, 2008

We consider networks of pulse coupled linear oscillators with non-zero delay where the coupling between the oscillators is given by the Mirollo-Strogatz function. We prove the existence of heteroclinic cycles between unstable attractors for a network of four oscillators and for an open set of parameter values. © 2008 IOP Publishing Ltd and London Mathematical Society.

Duke Scholars

Published In

Nonlinearity

DOI

EISSN

1361-6544

ISSN

0951-7715

Publication Date

June 1, 2008

Volume

21

Issue

6

Start / End Page

1385 / 1410

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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Broer, H., Efstathiou, K., & Subramanian, E. (2008). Heteroclinic cycles between unstable attractors. Nonlinearity, 21(6), 1385–1410. https://doi.org/10.1088/0951-7715/21/6/014
Broer, H., K. Efstathiou, and E. Subramanian. “Heteroclinic cycles between unstable attractors.” Nonlinearity 21, no. 6 (June 1, 2008): 1385–1410. https://doi.org/10.1088/0951-7715/21/6/014.
Broer H, Efstathiou K, Subramanian E. Heteroclinic cycles between unstable attractors. Nonlinearity. 2008 Jun 1;21(6):1385–410.
Broer, H., et al. “Heteroclinic cycles between unstable attractors.” Nonlinearity, vol. 21, no. 6, June 2008, pp. 1385–410. Scopus, doi:10.1088/0951-7715/21/6/014.
Broer H, Efstathiou K, Subramanian E. Heteroclinic cycles between unstable attractors. Nonlinearity. 2008 Jun 1;21(6):1385–1410.
Journal cover image

Published In

Nonlinearity

DOI

EISSN

1361-6544

ISSN

0951-7715

Publication Date

June 1, 2008

Volume

21

Issue

6

Start / End Page

1385 / 1410

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics