Monotonous stability for neutral fixed points | Zendy

Jacques Bair | Zendy; Gentiane Haesbroeck | Zendy

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Monotonous stability for neutral fixed points

Author(s) -

Jacques Bair,

Gentiane Haesbroeck

Publication year - 1997

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1105737768

Subject(s) - mathematics , neighbourhood (mathematics) , fixed point , combinatorics , integer (computer science) , sequence (biology) , divergence (linguistics) , convergence (economics) , stability (learning theory) , function (biology) , simple (philosophy) , discrete mathematics , mathematical analysis , computer science , machine learning , linguistics , philosophy , epistemology , evolutionary biology , biology , economics , genetics , programming language , economic growth

We give subtle, simple and precise results about the convergence or the divergence of the sequence (xn), where xj = f(xj 1) for every integer j ,w hen the initial element x0 is in the neighbourhood of a neutral xed point, i.e. a point x such that f(x )= x withjf 0 (x)j =1( wheref is a C 1 function dened on a subset of R).

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