scholarly journals Role of the Minimal State Variable Criterion

10.3386/w7087 ◽  
2000 ◽  
Author(s):  
Bennett McCallum
Keyword(s):  
Minimal State ◽  
State Variable

Limited information minimal state variable learning in a medium-scale multi-country model

2013 ◽  
Vol 33 ◽  
pp. 808-825 ◽  
Author(s):  
Alistair Dieppe ◽  
Alberto González Pandiella ◽  
Stephen Hall ◽  
Alpo Willman
Keyword(s):  
Limited Information ◽  
Minimal State ◽  
Medium Scale ◽  
State Variable

Local-Activity and Simultaneous Zero-Hopf Bifurcations Leading to Multistability in a Memristive Circuit

2021 ◽  
Vol 31 (15) ◽  
Author(s):  
Marcelo Messias ◽  
Alisson de Carvalho Reinol
Keyword(s):  
Hopf Bifurcations ◽  
Initial Condition ◽  
Parameter System ◽  
Memristive Device ◽  
Final State ◽  
State Variable ◽  
Stable Periodic ◽  
Memristive Circuit ◽  
Line Of Equilibria

In this paper, we consider a memristive circuit consisting of three elements: a passive linear inductor, a passive linear capacitor and an active memristive device. The circuit is described by a four-parameter system of ordinary differential equations. We study in detail the role of parameters in the dynamics of the system. Using the existence of first integrals, we show that the circuit may present a continuum of stable periodic orbits, which arise due to the occurrence of infinitely many simultaneous zero-Hopf bifurcations on a line of equilibria located in the region where the memristance is negative and, consequently, the memristive device is locally-active. These bifurcations lead to multistability, which is a difficult and interesting problem in applied models, since the final state of a solution depends crucially on its initial condition. We also study the control of multistability by varying a parameter related to the state variable of the memristive device. All analytical results obtained were corroborated by numerical simulations.

scholarly journals Minimal state variable solutions to Markov-switching rational expectations models

2011 ◽  
Vol 35 (12) ◽  
pp. 2150-2166 ◽  
Author(s):  
Roger E.A. Farmer ◽  
Daniel F. Waggoner ◽  
Tao Zha
Keyword(s):  
Rational Expectations ◽  
Markov Switching ◽  
Minimal State ◽  
State Variable

ONE STEP BEYOND NOZICK'S MINIMAL STATE: THE ROLE OF FORCED EXCHANGES IN POLITICAL THEORY

2005 ◽  
Vol 22 (1) ◽  
pp. 286-313 ◽  
Author(s):  
Richard A. Epstein
Keyword(s):  
Political Theory ◽  
Critical Role ◽  
Eminent Domain ◽  
Public Utilities ◽  
Robert Nozick ◽  
Coordination Problems ◽  
Minimal State ◽  
One Step ◽  
Principles Of Justice

In Anarchy, State, and Utopia, Robert Nozick seeks to demonstrate that principles of justice in acquisition and transfer can be applied to justify the minimal state, and no state greater than the minimal state. That approach fails to acknowledge the critical role that forced exchanges play in overcoming a range of public goods and coordination problems. These ends are accomplished by taking property for which the owner is compensated in cash or in kind in an amount that leaves him better off (by his own lights) than before the transaction. Forced exchanges use coercion to form the state, but the just compensation requirement guards against redistribution state imposed redistribution for collateral purposes. Once these forced exchanges are allowed to form a state, then they may be used thereafter to justify the powers of taxation and eminent domain used to support infrastructure (roads, sewers, public utilities) that neither the minimal state nor private markets can supply.

scholarly journals Characterizing groundwater heat-transport in a complex lowland aquifer using paleo-temperature reconstruction, satellite data, temperature-depth profiles, and numerical models

2022 ◽  
Author(s):  
Jesus Alberto Casillas-Trasvina ◽  
Bart Rogiers ◽  
Koen Beerten ◽  
Laurent Wouters ◽  
Kristine Walraevens
Keyword(s):  
Groundwater Flow ◽  
Heat Transport ◽  
Temperature Measurements ◽  
Catchment Scale ◽  
Boom Clay ◽  
State Variable ◽  
Additional State ◽  
Temperature Depth ◽  
Neogene Aquifer

Abstract. Heat is a naturally occurring widespread groundwater tracer that can be used to identify flow patterns in groundwater systems. Temperature measurements, being relatively inexpensive and effortless to gather, represent a valuable source of information which can be exploited to reduce uncertainties on groundwater flow, and e.g. support performance assessment studies on waste disposal sites. In a lowland setting, however, hydraulic gradients are typically small, and whether temperature measurements can be used to inform us about catchment-scale groundwater flow remains an open question. For the Neogene aquifer in Flanders, groundwater flow and solute transport models have been developed in the framework of safety and feasibility studies for the underlying Boom Clay Formation as potential host rock for geological disposal of radioactive waste. However, the simulated fluxes by these models are still subject to large uncertainties, as they are typically constrained by hydraulic heads only. In the current study we use a state-of-the-art 3D steady-state groundwater flow model, calibrated against hydraulic head measurements, to build a 3D transient heat-transport model, for assessing the use of heat as an additional state variable, in a lowland setting, at the catchment scale. We therefore use temperature-depth (TD) profiles as additional state variable observations for inverse conditioning. Furthermore, a Holocene paleo-temperature time curve was constructed based on paleo-temperature reconstructions in Europe from several sources in combination with land-surface temperature (LST) imagery remote sensing monthly data from 2001 to 2019 (retrieved from NASA’s MODIS). The aim of the research is to understand the mechanisms of heat transport and to characterize the temperature distribution and dynamics in the Neogene aquifer. The simulation results clearly underline advection/convection and conduction as the major heat transport mechanisms, with a reduced role of advection/convection in zones where flux magnitudes are low, which suggests temperature is a useful indicator also in a lowland setting. Furthermore, performed scenarios highlight the important roles of i) surface hydrological features and withdrawals driving local groundwater flow systems, and ii) the inclusion of subsurface features like faults in the conceptualization and development of hydrogeological investigations. These findings serve as a proxy of the influence of advective transport and barrier/conduit role of faults, particularly the Rauw Fault in this case, and suggest that solutes released from the Boom Clay might be affected in similar ways.

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