Bifurcation properties of the two process model

Mitsuyuki Nakao, Mitsuaki Yamamoto

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


Daan's two process model is known to be one of the most powerful models, covering various situations from free-running to sleep deprivation. In this study, bifurcation properties of the model dynamics as function of a gap, D, between the threshold processes are clarified using a circle map. As a function of D, we will show that tile model has the different types of the mutual entrainment regions that are intervened by the tangent bifurcation. The variable behavior of human circadian rhythm is suggested to be systematically understood based on tile bifurcation properties of the two process model.

Original languageEnglish
Pages (from-to)131-133
Number of pages3
JournalPsychiatry and Clinical Neurosciences
Issue number2
Publication statusPublished - 1998 Apr


  • Bifurcation
  • Mutual entrainment
  • Sleep-wake cycle
  • Two process model


Dive into the research topics of 'Bifurcation properties of the two process model'. Together they form a unique fingerprint.

Cite this