Sentences with phrase «nonlinear systems with»

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.
(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.
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.

Not exact matches

Spin systems are nonlinear and difficult to work with, Li said, while spring systems, or harmonic oscillators, are linear and easier to work with.
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.
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.
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.
Is there a chunk of the climate - change - radar - screen (concerned with nonlinear systems and their interconnections and coupled responses) missing?
• 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
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.
``... 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.»
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.
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.
The model output is evidence of the result of the many processes working together, much as the Pythagorean theorem provides evidence about the hypoteneuses of a large set imperfectly studied right triangles; or long term simulations of the planetary movements based on Newton's laws provide evidence that the orbits are chaotic rather than periodic; or simulations provide evidence that high - dimensional nonlinear dissipative systems are never in equilibrium or steady state even with constant input.
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.
Recent global climate change is also likely to affect large - scale atmospheric circulation patterns, with strong nonlinear feedbacks between thermodynamic and dynamic components of the climate system (10, 11).
In a system such as the climate, we can never include enough variables to describe the actual system on all relevant length scales (e.g. the butterfly effect — MICROSCOPIC perturbations grow exponentially in time to drive the system to completely different states over macroscopic time) so the best that we can often do is model it as a complex nonlinear set of ordinary differential equations with stochastic noise terms — a generalized Langevin equation or generalized Master equation, as it were — and average behaviors over what one hopes is a spanning set of butterfly - wing perturbations to assess whether or not the resulting system trajectories fill the available phase space uniformly or perhaps are restricted or constrained in some way.
«WG1.said «we should recognize that we are dealing with a coupled nonlinear chaotic system, and therefore that the long - term prediction of future climate states is not possible.
Did you know that the exact same real world system can be modeled with the exact same feedback as either linear or nonlinear by choice of flow variables?
The complete set forms a non-Markovian nonlinear, coupled integrodifferential system with timescales stretching from minutes to millions of years.
I, like you, am very skeptical of any attempt to remove some particular «natural signal» from a coupled nonlinear chaotic system with gazillions of feedbacks known and unknown and (mostly) transient, fluctuations that happened to nucleate at some particular point and grow.
The timing of interglacials indicates that the system is a periodically forced nonlinear oscillator, with the dominant forcing being obliquity.
Can one describe the climate system as a (weakly) periodically forced nonlinear oscillator, in terms of the interaction of its internal nonlinear dynamics with external periodic forcing?
Although the Earth system does seem to share behaviours with these nonlinear sets of equations — is this merely coincidental?
The cornerstone is the theory of random dynamical systems, which allows us to probe the detailed geometric structure of the random attractors associated with nonlinear, stochastically perturbed systems.
In 2007, WG1.said «we should recognize that we are dealing with a coupled nonlinear chaotic system, and therefore that the long - term prediction of future climate states is not possible.»
It is my opinion, based on my familiarity with nonlinear dynamical systems and with the physics driving these mechanisms, that temperature increases of this magnitude will not stabilize at these levels as the feedbacks kick in.
phil said: «It is beyond any doubt that a large dissipative open system with obvious chaotic dynamics such as the climate, is subject to internally driven nonlinear oscillations over a wide range of time scales.»
The system could well be a «weakly forced nonlinear oscillator» in which a range of external forcings (solar, tidal, Milankovich etc.) interact with the systems own nonlinear oscillations and resonances to yield the end result of an almost intractably complex climate
Quantum Electronics Electronics, theoretical investigations of femtosecond laser pulses propagation in nonlinear medium, modeling by «C», «MATLAB», «SIMULINK» and Mathcad the optical devices for high speed optical communication systems, circuits and signals, digital signal processing, analog & mixed cmos circuit design, HSPICE, COSMOS Synopsys software, Multisim Electronics Workbench, design experience with 0.13 um, 90nm, 65...
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