COUPLING MULTISTABLE SYSTEMS: UNCERTAINTY DUE TO THE INITIAL POSITIONS ON THE ATTRACTORS

被引：0

作者：

Kuzma, Patrycja ^{[1
]}

Kapitaniak, Marcin ^{[1
,2
]}

Kapitaniak, Tomasz ^{[1
]}

机构：

[1] Tech Univ Lodz, Div Dynam, PL-90924 Lodz, Poland

[2] Univ Aberdeen, Sch Engn, Ctr Appl Dynam Res, Aberdeen AB9 1FX, Scotland

来源：

JOURNAL OF THEORETICAL AND APPLIED MECHANICS | 2014年 / 52卷 / 01期

关键词：

coupled systems; synchronization; attractors; DYNAMICS;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the coupling of multistable nonidentical systems. For small values of the coupling coefficient the behavior of the coupled system strongly depends on the actual position of trajectories on their attractors in the moment when the coupling is introduced. After reaching the coupling threshold value, this dependence disappears. We give an evidence that this behavior is robust as it exists for a wide range of parameters and different types of coupling. We argue why this behavior cannot be considered as a dependence on the initial conditions.

引用

页码：281 / 284

页数：4

共 50 条

[41] H-infinity control and filtering with initial uncertainty for infinite dimensional systems
Ichikawa, A
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1996, 6 (05) : 431 - 452
[42] Propagation of initial condition uncertainty for linear dynamical systems: beyond the Gaussian assumption
Kurdyaeva, Tamara
Milias-Argeitis, Andreas
2022 EUROPEAN CONTROL CONFERENCE (ECC), 2022, : 1391 - 1396
[43] OPTIMAL SWITCHING SYNTHESIS FOR JUMP LINEAR SYSTEMS WITH GAUSSIAN INITIAL STATE UNCERTAINTY
Lee, Kooktae
Bhattacharya, Raktim
7TH ANNUAL DYNAMIC SYSTEMS AND CONTROL CONFERENCE, 2014, VOL 2, 2014,
[44] Decoherence of a Josephson qubit due to coupling to two-level systems
Ku, LC
Yu, CC
PHYSICAL REVIEW B, 2005, 72 (02)
[45] Considerable Uncertainty of Simulated Arctic Temperature Change in the Mid-Holocene Due To Initial Ocean Perturbation
Shi, Jian
Lohmann, Gerrit
GEOPHYSICAL RESEARCH LETTERS, 2024, 51 (04)
[46] A Study on the Projectile-barrel Coupling Problem Considering the Initial Deflection Due to Gravity of Tube
Ge, Jianli
Yang, Guolai
PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING AND MECHANICS, VOLS 1 AND 2, 2009, : 706 - 711
[47] SENSITIVITY UNCERTAINTY ANALYSIS FOR FREE-IN-AIR TISSUE KERMA DUE TO INITIAL RADIATION AT HIROSHIMA AND NAGASAKI
LILLIE, RA
BROADHEAD, BL
PACE, JV
CACUCI, DG
NUCLEAR SCIENCE AND ENGINEERING, 1988, 100 (02) : 105 - 124
[48] Various synchronous states due to coupling strength inhomogeneity and coupling functions in systems of coupled identical oscillators
Kim, Junhyeok
Moon, Joon-Young
Lee, Uncheol
Kim, Seunghwan
Ko, Tae-Wook
CHAOS, 2019, 29 (01)
[49] Estimating Reachable Sets of Control Systems with Uncertainty on Initial Data and with Nonlinearity of a Special Kind
Filippova, Tatiana F.
PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE STABILITY AND OSCILLATIONS OF NONLINEAR CONTROL SYSTEMS (PYATNITSKIY'S CONFERENCE), 2016,
[50] Compensation law for constrained systems with initial state uncertainty based on piecewise affine function
Hara, Naoyuki
Konishi, Keiji
18TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, 2010, : 389 - 394

← 1 2 3 4 5 →