Complex Bifurcation of Arnol’d Tongues Generated in Three-Coupled Delayed Logistic Maps
This study investigates quasi-periodic bifurcations and Arnol’d resonance webs generated in a three-coupled delayed logistic map. Complex bifurcation structure is generated when a conventional Arnol’d tongue transits to a higher-dimensional Arnol’d tongue. We discovered that, at least, two periodic attractors coexist in the conventional Arnol’d tongue which can bifurcate to two one-tori via doubly-folded Neimark–Sacker bifurcation.
KeywordsPeriodic Solution Bifurcation Curve Bifurcation Structure Periodic Attractor Sacker Bifurcation