COORDINATE CHANGE EIGENVALUES FOR BIMODAL PERIOD-DOUBLING RENORMALIZATION

被引：1

作者：

MACKAY, RS

PINTO, AA

VANZEIJTS, JBJ

机构：

[1] UNIV PORTO, OPORTO, PORTUGAL

[2] CEBAF, NEWPORT NEWS, VA 23606 USA

来源：

PHYSICS LETTERS A | 1994年 / 190卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(94)90725-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The coordinate change eigenvalues for the MacKay and van Zeijts period doubling renormalisation operator for bimodal 1D maps are derived. They are found in numerical computations of the spectrum at all the periodic orbits of renormalisation of period up to five.

引用

页码：412 / 416

页数：5

共 50 条

[21] Local symmetries in the period-doubling sequence
Damanik, D
DISCRETE APPLIED MATHEMATICS, 2000, 100 (1-2) : 115 - 121
[22] PERIODIC PERTURBATION ON A PERIOD-DOUBLING SYSTEM
HORNER, H
PHYSICAL REVIEW A, 1983, 27 (02): : 1270 - 1271
[23] INFLUENCE OF PERTURBATIONS ON PERIOD-DOUBLING BIFURCATION
SVENSMARK, H
SAMUELSEN, MR
PHYSICAL REVIEW A, 1987, 36 (05): : 2413 - 2417
[24] A period-doubling bifurcation for the Duffing equation
Komatsu, Y
Kotani, S
Matsumura, A
OSAKA JOURNAL OF MATHEMATICS, 1997, 34 (03) : 605 - 627
[25] EXTENSION OF RENORMALIZATION OF PERIOD-DOUBLING IN SYMMETRICAL 4-DIMENSIONAL VOLUME-PRESERVING MAPS
KIM, SY
PHYSICAL REVIEW E, 1994, 50 (05) : 4237 - 4240
[26] CONNECTING PERIOD-DOUBLING CASCADES TO CHAOS
Sander, Evelyn
Yorke, James A.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (02):
[27] Period-doubling of spiral waves and defects
Sandstede, Bjorn
Scheel, Arnd
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2007, 6 (02): : 494 - 547
[28] Observation of Period-Doubling Bloch Oscillations
Khan, Naveed
Wang, Peng
Fu, Qidong
Shang, Ce
Ye, Fangwei
PHYSICAL REVIEW LETTERS, 2024, 132 (05)
[29] Topological invariants in period-doubling cascades
Letellier, C
Meunier-Guttin-Cluzel, S
Gouesbet, G
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (09): : 1809 - 1825
[30] MORPHOLOGY OF THE PERIOD-DOUBLING UNIVERSAL FUNCTION
WARNER, RC
DELBOURGO, R
JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (02) : 758 - 770

← 1 2 3 4 5 →