Experimental nonlinear physics

被引:17
作者
Lauterborn, W [1 ]
Kurz, T [1 ]
Parlitz, U [1 ]
机构
[1] Univ Gottingen, Drittes Phys Inst, D-37073 Gottingen, Germany
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 09期
关键词
D O I
10.1142/S0218127497001539
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The review gives and account of the historical development, the current state and possible future developments of experimental nonlinear physics, with emphasis on acoustics, hydrodynamics and optics. The concepts of nonlinear time-series analysis which are the basis of the analysis of experimental outcomes from nonlinear systems are explained and recent developments pertaining to such different fields as modeling, prediction, nonlinear noise reduction, detecting determinism, synchronization, and spatio-temporal time series are surveyed. An overview is given of experiments on acoustic cavitation, a field rich of nonlinear phenomena such as nonlinear oscillations, chaotic dynamics and structure formation, and one of the first physical systems to exhibit period-doubling and chaos in experiment.
引用
收藏
页码:2003 / 2033
页数:31
相关论文
共 239 条
[1]   LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS - THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA [J].
ABARBANEL, HDI ;
BROWN, R ;
KENNEL, MB .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1991, 5 (09) :1347-1375
[2]   THE ANALYSIS OF OBSERVED CHAOTIC DATA IN PHYSICAL SYSTEMS [J].
ABARBANEL, HDI ;
BROWN, R ;
SIDOROWICH, JJ ;
TSIMRING, LS .
REVIEWS OF MODERN PHYSICS, 1993, 65 (04) :1331-1392
[3]  
ABRAHAM NB, 1987, INSTABILITIES CHAOS, V2
[4]  
AFRAIMOVICH VS, 1986, IZV VUZ KHIM KH TEKH, V29, P795, DOI DOI 10.1007/BF01034476
[5]   EVOLUTION OF TURBULENCE FROM RAYLEIGH-BENARD INSTABILITY [J].
AHLERS, G ;
BEHRINGER, RP .
PHYSICAL REVIEW LETTERS, 1978, 40 (11) :712-716
[6]   PATTERN-FORMATION IN ACOUSTIC CAVITATION [J].
AKHATOV, I ;
PARLITZ, U ;
LAUTERBORN, W .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1994, 96 (06) :3627-3635
[7]   ESTIMATING THE EMBEDDING DIMENSION [J].
ALEKSIC, Z .
PHYSICA D, 1991, 52 (2-3) :362-368
[8]   SYNCHRONIZATION OF CHAOTIC ORBITS - THE EFFECT OF A FINITE-TIME STEP [J].
AMRITKAR, RE ;
GUPTE, N .
PHYSICAL REVIEW E, 1993, 47 (06) :3889-3895
[9]  
[Anonymous], 1988, DETERMINISTIC CHAOS
[10]  
[Anonymous], 1903, SCI HYPOTHESIS