How long do numerical chaotic solutions remain valid?

被引：117
|
作者：
Sauer, T
Grebogi, C
Yorke, JA
机构：
[1] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742
[2] UNIV POTSDAM,INST THEORET PHYS & ASTROPHYS,D-14415 POTSDAM,GERMANY
[3] UNIV MARYLAND,INST PLASMA RES,COLLEGE PK,MD 20742
来源：
PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 01期
关键词：
D O I：
10.1103/PhysRevLett.79.59
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Dynamical conditions for the loss of validity of numerical chaotic solutions of physical systems are already understood. However, the fundamental questions of ''how good'' and ''for how long'' the solutions are valid remained unanswered. This work answers these questions by establishing scaling laws for the shadowing distance and for the shadowing time in terms of physically meaningful quantities that are easily computable in practice. The scaling theory is verified against a physical model.
引用
收藏
页码：59 / 62
页数：4
相关论文
共 50 条
  • [1] How long do prepared epidural solutions remain sterile?
    McIntosh, D
    Spaven, J
    Hagen, NA
    [J]. JOURNAL OF PAIN AND SYMPTOM MANAGEMENT, 1999, 18 (02) : 137 - 139
  • [2] Buried haemoclips: how long do they remain?
    Kay, Taylan
    Harmanci, Ozgur
    Ozseker, Burak
    [J]. JOURNAL OF GASTROINTESTINAL AND LIVER DISEASES, 2012, 21 (03) : 327 - 328
  • [3] How long do households remain in housing affordability stress?
    Borrowman, Luc
    Kazakevitch, Gennadi
    Frost, Lionel
    [J]. HOUSING STUDIES, 2017, 32 (07) : 869 - 886
  • [4] How long do floods throughout the millennium remain in the collective memory?
    Václav Fanta
    Miroslav Šálek
    Petr Sklenicka
    [J]. Nature Communications, 10
  • [5] Clinical Persistence: How Long do Patients Remain on Cholinesterase Therapy?
    Herrmann, Nathan
    Dalziel, William
    Binder, Carin
    Smyth, Steve
    Camacho, Fernando
    [J]. AMERICAN JOURNAL OF GERIATRIC PSYCHIATRY, 2008, 16 (03): : A108 - A109
  • [6] How long do floods throughout the millennium remain in the collective memory?
    Fanta, Vaclav
    Salek, Miroslav
    Sklenicka, Petr
    [J]. NATURE COMMUNICATIONS, 2019, 10 (1)
  • [7] How long do seeds of the invasive tree, Ailanthus altissima remain viable?
    Rebbeck, Joanne
    Jolliff, Joan
    [J]. FOREST ECOLOGY AND MANAGEMENT, 2018, 429 : 175 - 179
  • [8] How long do patients with pulmonary tuberculosis remain smear and culture positive?
    Finney, Lydia
    Connell, David
    O'Donoghue, Marie
    Berry, Matthew
    Wickremasinghe, Melissa
    Kon, Onn Min
    [J]. EUROPEAN RESPIRATORY JOURNAL, 2013, 42
  • [9] How long do anti-predator interventions remain effective? Patterns, thresholds and uncertainty
    Khorozyan, Igor
    Waltert, Matthias
    [J]. ROYAL SOCIETY OPEN SCIENCE, 2019, 6 (09):
  • [10] How Long do Your Angiographically Normal Coronary Arteries Remain Normal? A Pilot Study
    Weinstein, Jean Marc
    Cafri, Carlos
    Kobal, Sergio
    Sherf, Michael
    Ilia, Reuben
    [J]. ANGIOLOGY, 2015, 66 (03) : 262 - 264
12345