Sentences with phrase «nonlinear systems»

On Universality of Transition to Chaos Scenario in Nonlinear Systems of Ordinary Differential Equations of Shilnikov's Type

Nonlinear systems often feature important dynamics which would be missed if bidirectional interactions between subsystems are not modeled.

This is particularly important for complex nonlinear systems like the AMOC.

Complex nonlinear systems then tend to enter a chaotic transition to a new state.

The part about nonlinear systems is I think defensible.

Joshua, why can't you grasp the notion of nonlinear systems?

The fact though, is that «averages» in a nonlinear systems are close to useless and RH is nothing more than an average.

Let me try to summarize the state of affairs before I speculate a little, based on what I know from somewhat analogous nonlinear systems seen in biophysics and neurobiology that also flip.

He may have in mind that sort of integration or NONlinear systems that indeed can create harmonics and subharmonics.

They provide exact necessary and sufficient conditions for these characteristics for all linear systems and some nonlinear systems... Now I am merely trying to acquaint climate change scientists, physicists, lawyers and politicians promoting such things as Kyoto Protocols that chemical process control system engineering has a useful voice, weak as it is, in climate control engineering....

Abortive responses and rapid chattering between modes are common problems in nonlinear systems with not quite enough oomph, the reason why old fluorescent lights flicker.

Similarly, contraction theory can be systematically and simply extended to address classical questions in hybrid nonlinear systems.

That's the thing about nonlinear systems like the Earth's climate: things happen gradually, then suddenly.

Didier Sornette identified extremes in a number of dynamic nonlinear systems — «associated with what can be called equivalently a phase transition, a bifurcation, a catastrophe (in the sense of Rene Thom) or a tipping point» — as dragon - kings.

When rapidly forced, nonlinear systems are especially subject to unexpected behaviour.

It's the nature of turbulent, nonlinear systems.

Is there a chunk of the climate - change - radar - screen (concerned with nonlinear systems and their interconnections and coupled responses) missing?

As I said to Barry above, what I am saying is that the consensus is wrong, and that the Austrian School and those that understand nonlinear systems theory are right.

While in Tampere, he did research in nonlinear systems, image recognition and classification, image correspondence, computational learning theory, multiscale and spectral methods, and statistical signal processing.

And his book suggests that scientists should address the obvious metaphysical implications of twentieth - century physics: e.g., Einstein and quantum mechanics and the more recent developments in the field of chaos theory and nonlinear systems.

People have a tendency to approach the body [a nonlinear system] with a linear mentality i.e — If I do X, I'll get Y; If I eat X calories, in Y weeks I'll have Z amounts of fat loss.

You see, the human body is a nonlinear system and things like the calories in versus calories out model — a linear system — at best, give us only a guide of how things will go.

Capitalism is a complex, dynamic, adaptive and nonlinear system because it has elements or agents that interact in large numbers together forming one or more structures that arise from interactions between such agents.

I believe it was you Gavin who used the conversion of a time dependent nonlinear system into a boundary value problem idea.

(3) Now, if we enlarge the system further to include the deep ocean, we have a nonlinear system with a component that has response times on the order of a millennium.

However, this apparent impulsive behavior explicitly highlights the fact that humanity is poking a complex, nonlinear system with GHG forcing — and that there are no guarantees to how the climate may respond.

I think we should agree that D - O events, imperfectly understood though they may be, are the result of some chaotic nonlinear system which is probably sensitive to initial conditions.

Its a coupled implicit nonlinear system, and you have to model it and solve the resulting equations.

• Lack of formal model verification & validation, which is the norm for engineering and regulatory science • Circularity in arguments validating climate models against observations, owing to tuning & prescribed boundary conditions • Concerns about fundamental lack of predictability in a complex nonlinear system characterized by spatio - temporal chaos with changing boundary conditions • Concerns about the epistemology of models of open, complex systems

Linearizing nonlinear system is computationally risky.

Climate is a multiply coupled nonlinear system that shifts every few decades as a result of an internal and emergent reorganization of sub-components.

In the context of a coupled, nonlinear system — the system is sensitive to small changes in power in.

In a nonlinear system, the decay rate must be determined by measurement.

This spread results because the model equations provide a deterministic set of results that each can be different since the climate is a chaotic nonlinear system both in the model, and even more so in the real world.

As a card carrying member of the climate is acomplex fairly simple nonlinear system, I sleep with one eye open and watch every available monitoring system for... of all things... lol... 60 - year cycles, especially the negative 1/2»cause I'm pretty much convinced there ain't gonna be one.

Though, as these are statistics about largely linear questions in a nonlinear system, that approach is of somewhat dubious merit.

For it was Lovelock's Gaia Hypothesis which first popularised the idea that the biosphere is a massively complex nonlinear system that works to regulate many different subsystems towards a relatively narrow envelope of values necessary for the continuity of life on the planet through a tangle of negative feedbacks, in much the same way the human body maintains constant internal conditions necessary for life.

That the most complex nonlinear system on the planet has a built - in runaway feedback mechanism based on the common and important molecules of H2O and CO2.

Paradoxically, the real study of complexity is very simple — accept that it's a chaotic - nonlinear system and analyse it accordingly.

The S from the IPCC comes from a definition that assumes we know the future of the full behavior of the nonlinear system and can let the 2xCO2 effect run to completion (or absent that ideal value, can approximate it using models and possibly also using various simplified assumptions and calculations to speed how long it takes to calculate the value).

Can we not also point out that these two states are attractors in a chaotic - nonlinear system?

In other words, there's no indication of a nonlinear system exhibiting jump resonance as an intrinsic response characteristic.

In the phase space of a chaotic - nonlinear system there is no limit to the number of dimensions you can have.

And just to be clear on this «In simple English, knock an nonlinear system with hysteresis hard enough, it may not return back to its original stability point.

Of course, even if we had a perfect model, that model would have to be discretized to solve, and the error in integrating such a nonlinear system forward in time would be extremely challenging, most likely impossible.

Not exact matches

We hope that our work will further spark interest in studying and manipulating nonlinear optical effects in novel nanoscale systems using unconventional excitation beams.»

Menczer's work, which is also supported by the military's Defense Advanced Research Projects Agency and by the private James S. McDonnell Foundation, is part of a growing field that examines what are called complex, nonlinear feedback systems.

«It's also possible that the broader discussion of nonlinear oscillations could be helpful to scientists examining other biological systems that exhibit comparable dynamic responses.»

This relation of the Schrödinger equation to classical waves is already revealed in the way that a variant called the nonlinear Schrödinger equation is commonly used to describe other classical wave systems — for example in optics and even in ocean waves, where it provides a mathematical picture of unusually large and robust «rogue waves.»

The new system now demonstrated will soon allow further experiments on phase transitions in classical systems and in the quantum universe as well as tests in the field of nonlinear physics (e.g. solitons) to be performed in a well - controlled comparative system.