Sentences with phrase «from dynamical systems»

Weather stems from the dynamical systems that redistribute energy within the climate state.

«Taming chaos: Calculating probability in complex systems: A new method efficiently transforms trajectories from dynamical systems into a finite set of variables.»

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.

Not exact matches

His analysis of the idea of molecular structure from «first principles» shows that if one starts from a description of the molecule as an isolated, dynamical system consisting of the number of electrons and nuclei implied by the stoichiometric formula that interact via electromagnetic forces, one can not even calculate the most important parameters in chemistry, namely, those that describe the molecular structure.8

Understanding the dynamical channels around the Earth - moon system, says Lo, might make it relatively easy to deflect a potentially Earth - bound asteroid, like the one that wiped out the dinosaurs, by gently nudging it onto a manifold that would take it away from Earth.

Howell dedicated her graduate work as well as the next 15 years to that study, using techniques from a branch of mathematics called dynamical systems — or, more dramatically, chaos theory.

Nature Communications published the finding — a practical algorithm for inferring laws of nature from time - series data of dynamical systems.

He has also applied the theory of dynamical systems to solve a long - standing problem in analysis stemming from quantum mechanics.

The chance to study an actual ejection of a star from a multiple system can provide a critical test for the dynamical theories.

To think, remember, imagine, and see — all these amazing capacities of the brain come from billions of neurons with quadrillions of precise connections interacting to form the most remarkable dynamical system in the universe.

The highest prediction of 6.0 million square kilometers is based on a dynamical model forecast using the US Navy Earth System Model (NESM), whereas the lowest prediction of 3.4 million square kilometers comes from a heuristic contribution.

In these endeavors, we employ and extend tools and ideas from diverse fields, including statistical mechanics, machine learning, dynamical systems theory, and information theory.

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.

Lorenzo Iorio, «Dynamical Determination of the Mass of the Kuiper Belt from Motions of the Inner Planets of the Solar System,» Monthly Notices of the Royal Astronomical Society, Vol.

Four years later, another team of astronomers using the 2.5 - meter Isaac Newton Telescope at Roque de los Muchachos Observatory on La Palma (and relying on evidence supplied by their own dynamical models of Sagittarius and on preliminary results from the international Sloan Digital Sky Survey team) announced that they had found an excess of young stars belonging to a stellar system located at 183,000 ly (56,000 pc) from the center of the Milky Way.

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.

«In particular, it is not obvious, as of today, whether it is more efficient to approach the problem of constructing a theory of climate dynamics starting from the framework of hamiltonian mechanics and quasi-equilibrium statistical mechanics or taking the point of view of dissipative chaotic dynamical systems, and of non-equilibrium statistical mechanics, and even the authors of this review disagree.

The fact is as soon as there is any external perturbation of a chaotic system not accounted for in the dynamical equations, you have bumped the system from one path in phase space to another.

From a general perspective the analysis of circle maps thermodynamics has revealed the fact that physically interesting dynamical systems often exhibit mixtures of hyperbolic and marginal stabilities.

Citing a seven year old citation of what was then a seven year old citation of something to irrelevant to the paper in question, then making insupportable assertions about inevitability (which, ironic, as complex dynamical systems pretty much argue against the precept of predetermination), and ending with an implied causal relationship from the symptoms of Forcings to the Forcings themselves, served with a dollop of ad hom..

This «statistical coherence» can be regarded as a kind of organization of a complicated dynamical system, and identifying its statistically stable characteristics is similar to the notion of coherence understood as self - organization of multicomponent systems that results from chaotic interactions of their elements (see, e.g., [1]-RRB-.»

Hypothesis I derives from the 1D energy balance, thermodynamic view of the climate system, whereas Hypothesis III derives from a nonlinear dynamical system characterized by spatiotemporal chaos.

Given the collective paleoclimatological evidence from the Paleogene, and a little knowledge of nonlinear dynamical systems, it seems strange to think that anyone who understands these matters would think their heuristics and experience would continue to apply in a world which is no longer as stable as it once was.

This study evaluates the hydrologic prediction skill of a dynamical climate model - driven hydrologic prediction system (CM - HPS), based on an ensemble of statistically - downscaled outputs from the Canadian Seasonal to Interannual Prediction System (Cansystem (CM - HPS), based on an ensemble of statistically - downscaled outputs from the Canadian Seasonal to Interannual Prediction System (CanSystem (CanSIPS).

In principle, an incipient bifurcation in a dynamical system could be anticipated (100), by looking at the spectral properties of time series data (101), in particular, extracting the longest system - immanent timescale (τ) from the response of the system to natural variability (102).

a) «Whether or not these climate changes arise primarily from increased radiative forcing associated with rising greenhouse gas concentrations or are mainly due to the natural dynamical behavior of the climate system,...»

The explanatory power derives from common properties in the meta theory of complex dynamical systems.

Although the chain of the actual physical mechanisms generating these cycles is still obscure, (I have argued in my previous papers that the available climatic data would suggest an astronomical modulation of the cloud cover that would induce small oscillations in the albedo that, consequently, would cause oscillations in the surface temperature also by modulating ocean oscillations), the detected cycles can surely be considered from a purely geometrical point of view as a description of the dynamical evolution of the climate system.

In fact, the theory of differentiable dynamical systems — as we know and love it from the work of G.D. Birkhoff, J. Hadamard, H. Poincaré, and, more recently, E.N. Lorenz, D. Ruelle, and S. Smale, among many others — applies to autonomous systems, in which neither the forcing nor the coefficients depend explicitly on time.

This work is based on a weaving together of recent results from three mathematical disciplines: the ergodic theory of dynamical systems, stochastic processes, and the response theory of nonequilibrium dynamical systems.

In a series of Atlantic basin - specific dynamical downscaling studies (Bender et al. 2010; Knutson et al. 2013), we attempted to address both of these limitations by letting the Atlantic basin regional model of Knutson et al. (2008) provide the overall storm frequency information, and then downscaling each individual storm from the regional model study into the GFDL hurricane prediction system.

It appears to me, caveat as above, that AGW has created a lifeless system in thinking in this «energy balance» much as it has done with CO2 with its destruction of the dynamical system which is all life by thinking of plants merely as «carbon sinks», somewhere merely to store CO2; from which the used to be known fact that CO2 was food for all living carbon life forms is practically unknown and now at the absurd reasoning from not knowing it, that it can defy gravity and stay removed and out of reach from the carbon life forms which evolved from its property of being available at ground level.

The research areas covered by division extend from the large - scale dynamical / meteorological processes and systems in the atmosphere (like cyclones and global atmosphere circulation) to the small scale turbulent mixing, they cover the time frame from centuries to seconds.