Sentences with phrase «dynamical systems»
"Dynamical systems" refers to a concept in mathematics and science that studies how things change and evolve over time. It focuses on understanding the behavior of systems, such as weather patterns, population growth, or even the movement of planets, by analyzing how they interact and how their components evolve with time. Full definition
Lent shows how the tenets of Neo-Confucian thought are homologous with maths, neuroscience and climatology, particularly when those disciplines identify «a complex of dynamical systems that remain valid across the entire natural world, from systems as vast as global climate to as small as a living cell».
newscientist.com
For example, analytic solutions of «linear» differential equations that describe simple harmonic motions are only found in dynamical systems with small amplitudes, where non - linear terms are assumed to be negligible.
Ordinarily, I would attribute these types of relationships to nonlinearity as the result of nonlinear dynamical systems behavior.
Also the behaviour of our numerical simulations of the atmosphere would continue to be affected by the problems typical of model simulations of chaotic dynamical systems even if we could have perfect initial conditions, write perfectly accurate evolution equations and solve them with perfect numerical schemes, just because of the limited number of significant digits used by any computer (Lorenz, 1963).
Crucifix, M. and J. Rougier, 2009, «On the use of simple dynamical systems for climate predictions: A Bayesian prediction of the next glacial inception», Published in Eur.
«Taming chaos: Calculating probability in complex systems: A new method efficiently transforms trajectories from dynamical systems into a finite set of variables.»
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.
«Here, we restrict ourself to analyzing stochastic dynamical systems with random parametric excitation.
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.
Their work focuses on complex dynamical systems whose statistical behaviour can be explained in terms of a superposition of simpler underlying dynamics.
«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.
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.
Mirzakhani found that in dynamical systems evolving in ways that twist and stretch their shape, the systems» trajectories «are tightly constrained to follow algebraic laws», says McMullen.
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-.»
Understanding gained from studies of low - dimensional dynamical systems suggests that the response to external forcing of a system with regimes is manifested primarily in changes to the frequency of occurrence of those regimes.
This group seeks to investigate what the intersection of nonsmooth dynamical systems and climate science can contribute to either fields.
Obtained the Oozy Technical Achievement Honor for the involvement of nonlinear dynamical system analysis
The result is a geometrical figure that has distinct features which are dependent on the behaviour of the analyzed dynamical system.
Rubido pointed out that this new approach offers no advantage over some of the existing methods for very simple cases, but said it could be especially useful for analyzing high - dimension dynamical systems, which quickly overwhelm existing computing power.
Employing dynamical systems theory, the authors map out a strategy for modeling the trajectories of various SWEITs through their evolution.
My group does not have formal ongoing collaborations with this university, so one of my goals was to initiate and strengthen future collaborations between their strong dynamical systems group and MTBI.
Meanwhile, Lo and Howell are working with Caltech's Control and Dynamical Systems Department, a team of mathematicians and engineers, to plot the manifolds of the solar system in detail.
For the first time, we've taught a computer how to efficiently search for the laws that underlie arbitrary, natural dynamical systems, including complex, non-linear biological systems.»
The open source software package the researchers have designed, known as Microbial Dynamical Systems INference Engine (MDSINE), uses advanced machine learning technologies to accurately predict how microbial communities in the gut will grow and interact over time.
Getting an exact description of any complex dynamical system requires large amounts of data, he adds.
Undergraduate alumni, graduate students, and visitors participate in a collaborative research seminar on advanced dynamical systems, computational methods, and modeling.
They are part of a coupled dynamical system, and, as the authors show, this has dire potential consequences for societal collapse.
One of the most productive scientists in applying dynamical systems theory to climate is Tim Lenton at the University of East Anglia in England.
They found that the combination of two cornerstones of contemporary physics — namely Einstein's special relativity and quantum - mechanical dynamics — is mathematically identical to a complex dynamical system described by two interlocked processes operating at different energy scales.
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.
Complex dynamical systems govern virtually all biological processes.
Climate models, whether forced or unforced, constitute dynamical systems.