A study of chaos for processes under small perturbations II: Rigorous proof of chaos | Zendy

Piotr Oprocha | Zendy; Paweł Wilczyński | Zendy

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A study of chaos for processes under small perturbations II: Rigorous proof of chaos

Author(s) -

Piotr Oprocha,

Paweł Wilczyński

Publication year - 2010

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2010.30.1.5

Subject(s) - chaos (operating system) , mathematics , statistical physics , synchronization of chaos , calculus (dental) , control theory (sociology) , physics , computer science , artificial intelligence , computer security , medicine , control (management) , dentistry

Tyt. z nagł.References p.35-36.Dostępny również w formie drukowanej.KEYWORDS: distributional chaos, isolating segments, fixed point index, bifurcation. ABSTRACT: In the present paper we prove distributional chaos for the Poincaré map in the perturbed equation [formula]. Heteroclinic and homoclinic connections between two periodic solutions bifurcating from the stationary solution 0 present in the system when N = 0 are also discussed

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