A Continued Fraction Expansion and the Onset of Chaos

Mitsuo KONO

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Mitsuo KONO, "A Continued Fraction Expansion and the Onset of Chaos" in IEICE TRANSACTIONS on Fundamentals, vol. E77-A, no. 2, pp. 417-421, February 1994, doi: .
Abstract: An analytical method is developed to determine the critical value of the control parameter of a dynamical system above which chaos is initiated. An initial value problem for a dynamical system is shown to be solved with the aid of a continued fraction expansion which converges very rapidly. The result is confirmed by numerical experiments.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_2_417/_p

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@ARTICLE{e77-a_2_417,
author={Mitsuo KONO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Continued Fraction Expansion and the Onset of Chaos},
year={1994},
volume={E77-A},
number={2},
pages={417-421},
abstract={An analytical method is developed to determine the critical value of the control parameter of a dynamical system above which chaos is initiated. An initial value problem for a dynamical system is shown to be solved with the aid of a continued fraction expansion which converges very rapidly. The result is confirmed by numerical experiments.},
keywords={},
doi={},
ISSN={},
month={February},}

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TY - JOUR
TI - A Continued Fraction Expansion and the Onset of Chaos
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 417
EP - 421
AU - Mitsuo KONO
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 1994
AB - An analytical method is developed to determine the critical value of the control parameter of a dynamical system above which chaos is initiated. An initial value problem for a dynamical system is shown to be solved with the aid of a continued fraction expansion which converges very rapidly. The result is confirmed by numerical experiments.
ER -