Heteroclinic cycles between unstable attractors

H. W. Broer, K. Efstathiou, E. Subramanian (2008)
Nonlinearity

Abstract

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.

@article{2008_BES_Heteroclinic_Cycles_Unstable_Attractors,
 abstract = {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.},
 author = {Broer, H. W. and Efstathiou, K. and Subramanian, E.},
 doi = {10.1088/0951-7715/21/6/014},
 journal = {Nonlinearity},
 journalurl = {https://iopscience.iop.org/non},
 number = {6},
 pages = {1385-1410},
 title = {Heteroclinic cycles between unstable attractors},
 volume = {21},
 year = {2008}
}