Sentences with phrase «dynamical systems such»

While probabilistic projections of the global mean and regional temperatures exist, process - based probabilistic assessments of large - scale dynamical systems such as the Atlantic overturning are still missing.

«This camera has the potential to greatly enhance our understanding of very fast biological interactions and chemical processes that will allow us to build better models of complex, dynamical systems such as cellular respiration, or to help doctors better deliver and monitor light - based therapies,» says Richard Conroy, Ph.D., program director for Optical Imaging at NIBIB.

«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.

Not exact matches

This relates to the sensitive dependence of non-linear systems to the initial values of its dynamical parameters (often referred as the «butterfly effect,» a phrase coined by the meteorologist E.N. Lorenz).7 In such a system, even the smallest change (or uncertainty) of initial values of a non-linear or dynamically coupled system, show long - term divergence of its phase - map trajectories, leading to the formation of a basin of so - called «strange attractors.»

Historically, researchers have divided up data from a dynamical system through Markov partitions — a function that describes a point in space in relation to time, such as a model that describes the swing of a pendulum.

«The idea behind using dynamical systems for computation is to build a machine such that its dynamics — which has to do with the structure of the machine or the structure of the math — will lead it to the answer based on feeding it the question,» said Rothganger, a computer scientist.

Born out of computer - based analyses of complex dynamical systems, complexity theory seeks fundamental principles that might underlie the patterns of order that such systems display.

Such asymmetry would most likely be the result of dynamical sculpting by one or more unseen planets in the system.

To understand the structure and dynamical properties of such systems, the research team headed by Ilya Shmulevich integrates data from a variety of measurements using models and techniques from mathematics, physics, and engineering.

There may be reason to strongly suspect that in any sufficiently complicated dynamical system model (such as climate) with stochastic parameters (e.g., exactly when and where a lightning strike starts a major wildfire or a major submarine earthquake perturbs ocean circulation in a region or a major volcanic eruption introduces stratospheric aerosols), it is almost certain that any given run of the model will have periods of significant deviation from the mean of multiple runs.

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

Chaos theory simply tells us something about the properties of complex and dynamical systems — such as the global climate system.

The emergence of dissipative structures such as the AO is the relevant metric in both the analysis and forecasting (within its temporal limits) dynamical systems and not proportionate forcing response arguments used by primitive tribes eg Ruzmaiken.

Such possible large - scale dynamical feedbacks are also influenced by small - scale processes within the climate system.

Except in perturbative contexts (such as the neighbourhood of a fixed point or invariant torus), the long - time evolution of a dynamical system for deterministic data is still largely only controllable by the classical tools of exact solutions, conservation laws and monotonicity formulae; a discovery of a new and effective tool for this purpose would be a major breakthrough.

The journal Dynamical Systems is one of publications for this field, covering such exciting topics as «Periodic Orbits of Oval Billiards on Surfaces of Constant Curvature».

Additionally, he said they lack the physical evidence of what are known as «dynamical links,» — physical ties within elements of the Earth's climate system, such as the upper oceans and lower atmosphere — between Arctic warming and extreme events.

Such mechanical analogies are not representative of the behavior of internally generated fluctuations in fluid dynamical systems, and this is clearly seen by comparison with externally generated oscillations like the tides.

A dynamical model of such systems should be capable of testing the effects of various policy choices on the long - term sustainability of the system [215].

Please keep unrelated questions on other issues (such as forced atmospheric models or full climate models) off of this thread so that this manuscript can be used to illuminate the serious and unresolvable problems with numerical approximations of the unforced dynamical systems.