The Computation of Nodal Points Generated by Period Doubling Bifurcation Points on a Locus of Turning Points
Summary :
As the values of parameters in periodic systems vary, a nodal point appearing on a locus of period doubling bifurcation points crosses over a locus of turning points. We consider the nodal point lying just on the locus of turning points and consider its accurate location. To compute it, we consider an extended system which consists of an original equation and an additional equation. We present a result assuring that this extended system has an isolated solution containing the nodal point.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.5 pp.616-621
- Publication Date
- 1992/05/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Dynamics--Adaptive, Learning and Neural Systems--)
- Category
- Nonlinear Systems
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Norio YAMAMOTO, "The Computation of Nodal Points Generated by Period Doubling Bifurcation Points on a Locus of Turning Points" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 5, pp. 616-621, May 1992, doi: .
Abstract: As the values of parameters in periodic systems vary, a nodal point appearing on a locus of period doubling bifurcation points crosses over a locus of turning points. We consider the nodal point lying just on the locus of turning points and consider its accurate location. To compute it, we consider an extended system which consists of an original equation and an additional equation. We present a result assuring that this extended system has an isolated solution containing the nodal point.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_5_616/_p
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@ARTICLE{e75-a_5_616,
author={Norio YAMAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Computation of Nodal Points Generated by Period Doubling Bifurcation Points on a Locus of Turning Points},
year={1992},
volume={E75-A},
number={5},
pages={616-621},
abstract={As the values of parameters in periodic systems vary, a nodal point appearing on a locus of period doubling bifurcation points crosses over a locus of turning points. We consider the nodal point lying just on the locus of turning points and consider its accurate location. To compute it, we consider an extended system which consists of an original equation and an additional equation. We present a result assuring that this extended system has an isolated solution containing the nodal point.},
keywords={},
doi={},
ISSN={},
month={May},}
Copy
TY - JOUR
TI - The Computation of Nodal Points Generated by Period Doubling Bifurcation Points on a Locus of Turning Points
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 616
EP - 621
AU - Norio YAMAMOTO
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 1992
AB - As the values of parameters in periodic systems vary, a nodal point appearing on a locus of period doubling bifurcation points crosses over a locus of turning points. We consider the nodal point lying just on the locus of turning points and consider its accurate location. To compute it, we consider an extended system which consists of an original equation and an additional equation. We present a result assuring that this extended system has an isolated solution containing the nodal point.
ER -
English
