Sentences with phrase «complex nonlinear system»

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.

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.

• 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

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

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

Not exact matches

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.

«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.

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.

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

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.

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.

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

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

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.

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.

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.

Complex nonlinear multivariate systems often exhibit «strange attractors» — local fixed points in a set of coupled nonlinear ordinary differential equations — that function as foci for Poincare cycles in the multivariate phase space.

Both of these graphs support the idea of the climate as a «Complex nonlinear multivariate systems... exhibit [ing] «strange attractors»

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.

Ken re «an unusually complex nonlinear dynamical system... if we hold all other known or estimated forcings constant, (changes) will occur»

This is a property of the broad class of nonlinear, complex, dynamic systems.

«The inconvenient truth remains,» according to Philip Stott, that «climate is the most complex, coupled, nonlinear, chaotic system known.»

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