Type‐II intermittency in a class of two coupled one‐dimensional maps | Zendy

Susanne Margrete Bølling Laugesen | Zendy; Erik Mosekilde | Zendy; Tassos Bountis | Zendy; С. П. Кузнецов | Zendy

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Type‐II intermittency in a class of two coupled one‐dimensional maps

Author(s) -

Susanne Margrete Bølling Laugesen,

Erik Mosekilde,

Tassos Bountis,

С. П. Кузнецов

Publication year - 2000

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/s1026022600000558

Subject(s) - intermittency , statistical physics , bifurcation , coupling (piping) , type (biology) , mathematics , hopf bifurcation , laminar flow , physics , class (philosophy) , period doubling bifurcation , order (exchange) , nonlinear system , mechanics , computer science , turbulence , quantum mechanics , materials science , artificial intelligence , ecology , finance , economics , metallurgy , biology

The paper shows how intermittency behavior of type-II can arise from the coupling of two one-dimensional maps, each exhibiting type-III intermittency. This change in dynamics occurs through the replacement of a subcritical period-doubling bifurcation in the individual map by a subcritical Hopf bifurcation in the coupled system. A variety of different parameter combinations are considered, and the statistics for the distribution of laminar phases is worked out. The results comply well with theoretical predictions. Provided that the reinjection process is reasonably uniform in two dimensions, the transition to type-II intermittency leads directly to higher order chaos. Hence, this transition represents a universal route to hyperchaos

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