Sentences with phrase «of nonlinear systems»

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

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).

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

Not exact matches

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.

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.

Therefore, the results achieved in this study have shown that nonlinear effects in graphene nano - mechanical resonators reveal a hybridization effect at high energies that, if controlled, could open up new possibilities to manipulate vibrational states, engineer hybrid states with mechanical modes at completely different frequencies, and to study the collective motion of highly tunable systems.

«To predict the effects this type of deforestation has on the relationship between rain forest and the savanna — and on the local and global climate — it's necessary to understand how the transitional forest evolves in time and reacts to disturbances,» explained Yannick De Decker, associate professor at the Center for Nonlinear Phenomena and Complex Systems, as well as the Nonlinear Physical Chemistry Unit at ULB.

Chaos theory, or nonlinear dynamics, is a mathematical way of determining the effects of small changes on systems so complex they look random.

Now, a team of scientists has streamlined the problem by combining ocean wave data with a healthy dose of nonlinear dynamics of the wave system.

They then developed a novel approach to analyze the nonlinear dynamics of the system and predict which wave groups will evolve into extreme rogue waves.

The program encompasses a wide range of theoretical perspectives, such as symbolic computation, connectionism, ecological, nonlinear dynamics, and complex systems, and a variety of methodologies including both experimental studies and modeling.

Today, scientists around the world, including those at the Potsdam Institute for Climate Impact Research that Schellnhuber founded in 1992, are successfully investigating the nonlinear dynamics of the complex climate system, and religious leaders like Pope Francis - whose green Encyclical Schellnhuber had the honor to present to the world in 2015 - joined in the call for avoiding dangerous climate change.

Taken together, our findings provide strong support for the argument that the nonlinear saccade kinematics are not due to a passive saturation of brainstem burst neurons, e.g., as a result of neural fatigue, but reflect a deliberate design property within the saccadic system to produce the main - sequence characteristics.

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.

The neural control of the cardiovascular system exhibits the complex nonlinear behavior.

The economy, and most industries are nonlinear dynamic systems, which means there will be cyclical behavior, and that behavior will be more volatile the greater the level of fixed commitments in the system that must be satisfied.

As synchronized multi-axis control systems are nonlinear, time - variable and easily affected by disturbances, it is difficult to determine reasonable coupling control law and large amount of on - line calculation just through the existing synchronous control strategies for multi-axis system.

Nassim Taleb thinks in the same way, including the nonlinear impact of systems level interactions.

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.

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.

This revolution has brought new understanding of nonlinear dynamics, complex systems, ch...

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

[Response: Whether the dependence is linear or nonlinear is difficult to say, biological systems being as messy as they are, but the magnitude of the change is clearly significant, based on laboratory growth experiments.

• 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

It's the nature of turbulent, nonlinear systems.

I'm tired of scientific illiterates pretending to understand complicated physical systems and throwing around words like «complexity» and «nonlinear» as if they were talismans to put the fear of dragons into us.

«The great revolution of nonlinear dynamics over recent decades has provided a wealth of information about the bifurcations that can destabilise a slowly evolving system like the Earth's climate.

Separating the direct effects of all this, not to mention the feedbacks (this stuff ISN» T additive, even tho it is convenient to think it is), is something that no one has adequately done, and I suspect that it is an ill posed problem given the nonlinear chaotic nature of the climate system

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

This revolution has brought new understanding of nonlinear dynamics, complex systems, chaos theory, catastrophe theory.

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.

Progress can be made by investigating nonlinear processes and subcomponents of the climatic system.

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.

``... we should recognise that we are dealing with a coupled nonlinear chaotic system, and therefore that the long - term prediction of future climate states is not possible.»

Ah — the wonders of nonlinear responses in the planetary system.

Each component is part of a complex and nonlinear mechanism that in concert acts in ways consistent with the behaviour of a broad class of deterministically chaotic systems.

«Synchronization is a fundamental nonlinear phenomenon and one basic mechanism of self - organization in complex systems 14, and synchronization of nonlinear oscillators to external forcing (see Supplementary Information) is commonly encountered in physics, chemistry, biology, engineering and climatology 13 — 17.

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

The three - body problem is of course at the center of Chaos theory and climate research has long acknowledged that the climate is a dynamical system existing on the edge of spatio - temperal chaos and that the complexity of multiple interacting positive and negative feedbacks make it so particularly complex and nonlinear.

One part of the difficulty is that the Earth is a highly multivariate and chaotic driven / open system with complex nonlinear coupling between all of its many drivers, and with anything but a regular surface.

If one tried to actually write «the» partial differential equation for the global climate system, it would be a set of coupled Navier - Stokes equations with unbelievably nasty nonlinear coupling terms — if one can actually include the physics of the water and carbon cycles in the N - S equations at all.

In the paper he said: «However, in the Earth — ocean — atmosphere system, nonlinear oscillations and excitation of the [Chandler Wobble] occur primarily at combinational frequencies of the Chandler frequency (with periods of 2.4, 3.6, 4.8, and 6.0 years), rather than at the principal resonant frequency.»

Experience with solution algorithms, data assimilation methods and tools, coupling of components and processes, nonlinear and linear solvers, limiters, and / or other numerical issues common with complex codes within earth system models of varying complexity

If «[t] he inconvenient truth remains,» according to Philip Stott, that «climate is the most complex, coupled, nonlinear, chaotic system known,» then like flipping a coin, It will not matter if we devise a mathematical model to combine the data of the last 100 flips with a dataset reflecting the 100 flips before that — even if you consider want to consider how many tails you got on the previous 1,000 flips — the odds for the next flip still will be 50 - 50.