修正案
发表于 2025-3-23 09:49:44
Thank you, take care, and bye bye,and our theoretical considerations and deal with non-linear dissipative systems, i.e. dynamical systems experiencing a loss of energy. If we again observe a volume element in the phase space, then, for t . → ∞, it will contract to a subset of an attractor, the dimensionality of which is lower than that of the phase space.
一瞥
发表于 2025-3-23 16:05:22
https://doi.org/10.1007/978-3-642-86341-7oud formations that stir the imagination and in the emergence of destructive hurricanes. In astronomy, turbulences also play an important role: think of the eruptions on the sun and the turbulent processes in Jupiter’s atmosphere; see fig. 9.0.1.
LUMEN
发表于 2025-3-23 20:29:57
Dynamical Systems with Dissipation,and our theoretical considerations and deal with non-linear dissipative systems, i.e. dynamical systems experiencing a loss of energy. If we again observe a volume element in the phase space, then, for t . → ∞, it will contract to a subset of an attractor, the dimensionality of which is lower than that of the phase space.
Simulate
发表于 2025-3-24 01:51:14
Turbulence,oud formations that stir the imagination and in the emergence of destructive hurricanes. In astronomy, turbulences also play an important role: think of the eruptions on the sun and the turbulent processes in Jupiter’s atmosphere; see fig. 9.0.1.
简略
发表于 2025-3-24 04:52:06
https://doi.org/10.1007/978-3-642-86341-7asurement techniques, the various routes to chaotic behaviour or to the onset of turbulence could be demonstrated experimentally by various research groups. At the transition, however, the dynamics of such systems is essentially of temporal nature, for which only a limited number of degrees of freedom are excited.
Kaleidoscope
发表于 2025-3-24 08:17:38
http://reply.papertrans.cn/16/1551/155014/155014_16.png
躺下残杀
发表于 2025-3-24 12:59:30
,Convective Flow:BénardProblem,s the continental drift, the recordable drifting apart of the continental plates caused by flows in the earth’smantle.Outside our Earth as well - for example in the gaseous atmosphere of Jupiter - we can observe flow patterns which can be explainedwith the mechanism of the convectivemixing ofmass and heat.
Euphonious
发表于 2025-3-24 17:59:01
Computer Experiments,xtensive. In Chapters 1 to 8, it has been our aim to impart the theoretical mathematical and physical foundations. In Chapter 10, the emphasis is shifted to applications and the computer-supported discussion of classic model systems, the characteristics of which can be applied to a multitude of dynamical systems.
Ablation
发表于 2025-3-24 20:38:14
https://doi.org/10.1007/978-3-662-46042-9Chaos; Conservative und Dissipative Systems; Dynamical Systems; Fractal Dimensions; Kolmogorov-Sinai Ent
intricacy
发表于 2025-3-24 23:49:18
978-3-662-51089-6Springer-Verlag Berlin Heidelberg 2015