Generating Function and Its Formal Derivatives for Dynamical Systems | Zendy

Kimiaki Konno | Zendy; Haruyuki Irié | Zendy; I. Shimada | Zendy

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Generating Function and Its Formal Derivatives for Dynamical Systems

Author(s) -

Kimiaki Konno,

Haruyuki Irié,

I. Shimada

Publication year - 1986

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.76.561

Subject(s) - radius of convergence , physics , lyapunov exponent , dynamical systems theory , function (biology) , convergence (economics) , fractal , lyapunov function , mathematics , pure mathematics , statistical physics , generating function , derivative (finance) , radius , mathematical analysis , quantum mechanics , power series , computer science , nonlinear system , evolutionary biology , biology , computer security , financial economics , economics , economic growth

.. Recently we have some attempts for complexification of dynamical systems in order to investigate, on the basis of analytical properties, integrabilities of the systems and the regular or irregular motion of the systems. One of them is to complexify the independent variable of the systems. I) In this paper we will try another complexification by taking the expansion param eter of the generating function considered by Yamaguti and Hata 2

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