Sentences with phrase «complex dynamical»

It looks like a complex dynamical system that has numerous manifestations that we know of — as in the diverse examples of Sornette — therefore it has these properties that may make analysis tractable but in a different sense than we are used to.

Dragon Kings are a property of complex dynamical systems signifying extreme and rapid changes that occur at phase transitions.

For a complex dynamical system we have the possibility that dissipative processes are strong enough to maintain long term stability and to remove the possibility major state shifts.

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

Now the models are deterministic complex dynamical systems with whose plausibility rests on 2 grounds.

The changes were abrupt and then Earth systems settled into a new state — the definition of complex dynamical systems.

These are the conditions that suggest bifurcation in a complex dynamical system.

A tipping point as Sornette used it refers to a chaotic bifurcation in complex dynamical systems.

Dragon Kings on the other hand are the extreme variability that occurs at phase transitions in complex dynamical systems.

Sensitivity in a complex dynamical system is high at regions of shifts between equilibrium states but not otherwise and the science of predicting shifts is in it's infancy.

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..

It is emergent behviour in a complex dynamical system characterised by changes in ocean and atmospheric circulation and consequential changes in cloud radiative forcing.

Chaos is a metatheory — it tells us something about the properties of complex dynamical systems — especially sensitive dependence to initial conditions.

I think a better term is abrupt climate change — chaos theory merely tells us something about the properties of complex dynamical systems.

Chaos theory is a metatheory that gives us clues about the properties of complex dynamical systems.

Chaos theory is a metatheory — it merely describes some properties of complex dynamical systems.

The theory of climate shifts suggests that there are control variables and multiple positive and negative feedbacks in a complex dynamical system.

Since you elected not to address the issue of models capability to represent critically - important glaciation - deglaciation episodes, now I have developed an impression that certain climate scentists have to learn a lot more about possibilities that are hidden in behavior of a large and complex dynamical system.

Complex dynamical systems govern virtually all biological processes.

Much of complexity theory is grounded in the manipulation of various kinds of mathematical models of complex dynamical systems.

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.

Their work focuses on complex dynamical systems whose statistical behaviour can be explained in terms of a superposition of simpler underlying dynamics.

Getting an exact description of any complex dynamical system requires large amounts of data, he adds.

«The atmosphere and the ocean are both complex dynamical systems,» he says, noting that computers are still not up to the task of handling them both at the same time.

Not exact matches

Mirzakhani got the Fields Medal for Mathematics in 2014 for her work on complex geometry and dynamical systems.

According to dynamical systems theory, transport barriers exist in complex flows as objects that can not be crossed by other fluid trajectories.

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

This study results from the German - Brazilian Research Training Group on Dynamical Phenomena in Complex Networks at (IRTG1740) hosted by Humboldt Universität zu Berlin.

Dynamical systems evolve over time, often in complex ways: they include celestial mechanics (the orbits of bodies in the Solar System); financial markets; the weather; and populations in ecosystems.

«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.

«These ultrafast cameras have the potential to greatly enhance our understanding of very fast biological interactions and chemical processes and allow us to build better models of complex, dynamical systems.»

At any given instant it can be argued that the cell is in a «state» defined by its components — their concentrations and locations, the interactions between components — that are modulated in space and time, and the complex circuitry — that involves a large number of interacting networks and a snapshot of the dynamical processes — such as gene expression, cell cycle, transport of components, etc..

Dynamical factors and thermodynamic aspects of climate change can interact in complex ways and there are many examples where the circulation is as important as the thermodynamics.

Sensing protocols based on dynamical decoupling techniques allow to obtain information on chemical structure of complex molecules in the vicinity of diamond.

Education is a complex system that requires dynamical solutions tailored to the ever - changing needs of each school environment.

Another model of the (price) technical behaviour is that the prices are a result of a very complex «chaotic» dynamical system (the behaviour of all those that trade), where the «strange attractors» are not fixed, (i.e the phase space changes with expectations).

The formation of large - scale mills in the southern oceans is an interesting phenomenon in this respect, although presumably oceanic computational fluid dynamical models may not necessarily reveal such complex vortex - type phenomena.

An example of an attempt to incorporate such complex changes into climate scenarios is the study of McInnes et al. (2000), who developed an empirical / dynamical model that gives return period versus height for tropical cyclone - related storm surges for Cairns on the north Australian coast.

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.

As climate is a dynamical complex system — beyond that scientific angels should fear to tread.

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

Climate is an ergodic, complex, dynamical system.

«Our climate simulations, using a simplified three - dimensional climate model to solve the fundamental equations for conservation of water, atmospheric mass, energy, momentum and the ideal gas law, but stripped to basic radiative, convective and dynamical processes, finds upturns in climate sensitivity at the same forcings as found with a more complex global climate model»

This is an incredibly vague statement; but part of the difficulty with this problem, which also exists in one form or another in many other famous problems (e.g. Riemann hypothesis,, P = NP, twin prime and Goldbach conjectures, normality of digits of Pi, Collatz conjecture, etc.) is that we expect any sufficiently complex (but deterministic) dynamical system to behave «chaotically» or «pseudorandomly», but we still have very few tools for actually making this intuition precise, especially if one is considering deterministic initial data rather than generic data.

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

They also suggest that there would be complex spatial patterns of response â $ «local warming in the lower stratosphere, increases in reflected solar radiation, decreases in outgoing longwave radiation, dynamical changes in the northern hemisphere winter circulation, decreases in tropical precipitation etc..

Our climate simulations, using a simplified three - dimensional climate model to solve the fundamental equations for conservation of water, atmospheric mass, energy, momentum and the ideal gas law, but stripped to basic radiative, convective and dynamical processes, finds upturns in climate sensitivity at the same forcings as found with a more complex global climate model [66].

Social Architecture, Judicial Peer Effects and the «Evolution» of the Law: Toward a Positive Theory of Judicial Social Structure Georgia State Law Review Symposium, Dynamical Jurisprudence: Law as a Complex System (2008)