Sentences with phrase «chaotic dynamical»

Sensitive dependence and structural instability are humbling twin properties for chaotic dynamical systems, indicating limits about which kinds of questions are theoretically answerable.

As James McWilliams said — «Sensitive dependence and structural instability are humbling twin properties for chaotic dynamical systems, indicating limits about which kinds of questions are theoretically answerable.

«AOS models are members of the broader class of deterministic chaotic dynamical systems, which provides several expectations about their properties (Fig. 1).

James McWilliams, of the Department of Atmospheric and Oceanic Sciences at the University of California Los Angeles, says that «sensitive dependence and structural instability are humbling twin properties for chaotic dynamical systems, indicating limits about which kinds of questions are theoretically answerable.»

Also the behaviour of our numerical simulations of the atmosphere would continue to be affected by the problems typical of model simulations of chaotic dynamical systems even if we could have perfect initial conditions, write perfectly accurate evolution equations and solve them with perfect numerical schemes, just because of the limited number of significant digits used by any computer (Lorenz, 1963).

This chain of events is identical to that found in regime transitions in synchronized chaotic dynamical systems [Pecora et al., 1997].

So the climate models are themselves temporal chaotic dynamical systems.

«In particular, it is not obvious, as of today, whether it is more efficient to approach the problem of constructing a theory of climate dynamics starting from the framework of hamiltonian mechanics and quasi-equilibrium statistical mechanics or taking the point of view of dissipative chaotic dynamical systems, and of non-equilibrium statistical mechanics, and even the authors of this review disagree.

Not exact matches

The vibratory states of a dynamical (chaotic) system could to date only be visualized with methods requiring several graphs that are hard to interpret for non-mathematicians.

Another model of the (price) technical behaviour is that the prices are a result of a very complex «chaotic» dynamical system (the behaviour of all those that trade), where the «strange attractors» are not fixed, (i.e the phase space changes with expectations).

Such chaotic behaviour may limit the predictability of nonlinear dynamical systems.»

«A dynamical system such as the climate system, governed by nonlinear deterministic equations (see Nonlinearity), may exhibit erratic or chaotic behaviour in the sense that very small changes in the initial state of the system in time lead to large and apparently unpredictable changes in its temporal evolution.

The fact is as soon as there is any external perturbation of a chaotic system not accounted for in the dynamical equations, you have bumped the system from one path in phase space to another.

There are no «perturbations» inside a chaotic system — a solution of the dynamical equations is what it is and all the «perturbations» are already accounted for.

This «statistical coherence» can be regarded as a kind of organization of a complicated dynamical system, and identifying its statistically stable characteristics is similar to the notion of coherence understood as self - organization of multicomponent systems that results from chaotic interactions of their elements (see, e.g., [1]-RRB-.»

Chief, I am not denying the dynamical nature of the climate system, nor its inherent chaotic nature.

The Earth is an open highly multivariate dynamical nonlinear non-Markovian chaotic driven system, and statements like «1 to 1.5 degrees of warming» are themselves consequently moderately suspect.

The broader theory of dynamical complexity says that chaotic systems exhibit characterisitc behaviours — among these abrupt change and regime persistence.

A tipping point as Sornette used it refers to a chaotic bifurcation in complex dynamical systems.

Multi-decadal regime shift — chaotic — unpredictable — involving abrupt shifts in ocean and atmospheric circulation — show the dynamical mechanism at the core of climate on a global scale.

I usually add the postscript that dynamical systems theory implies extreme climate sensitivity near points of chaotic bifurcation — suggesting that changing the composition of the atmosphere may not be entirely risk free.

Forced variability results from boundary conditions, such as sea - surface temperatures, and natural or internal variability results from the chaotic nature of dynamical systems1, 2.