Fixed Anvil Temperature Feedback: Positive, Zero, or Negative?

Fixed points and convergence in monotone systems under positive or negative feedback

In this paper a theorem is discussed that unifies two lines of work in I/O monotone control systems. Under a generalized small gain hypothesis, it is shown that almost all solutions of closed loops of MIMO monotone systems are convergent, regardless of whether the feedback is positive or negative. This result is based on a topological argument showing that any monotonically decreasing n-dimensi...

Positive Feedback Promotes Oscillations in Negative Feedback Loops

A simple three-component negative feedback loop is a recurring motif in biochemical oscillators. This motif oscillates as it has the three necessary ingredients for oscillations: a three-step delay, negative feedback, and nonlinearity in the loop. However, to oscillate, this motif under the common Goodwin formulation requires a high degree of cooperativity (a measure of nonlinearity) in the fee...

Positive Woman or Negative Man?

Analyzing the Relationship Between Organic and Sponsored Search Advertising: Positive, Negative, or Zero Interdependence?

The phenomenon of paid search advertising has now become the most predominant form of online advertising in the marketing world. However, we have little understanding of the impact of search engine advertising on consumers‘ responses in the presence of organic listings of the same firms. In this paper, we model and estimate the inter-relationship between organic search listings and paid search ...

Testing the Fixed Anvil Temperature hypothesis in a cloud- resolving model

Using cloud-resolving simulations of tropical radiative–convective equilibrium, it is shown that the anvil temperature changes by less than 0.5 K with a 2-K change in SST, lending support to the fixed anvil temperature (FAT) hypothesis. The results suggest that for plausible ozone profiles, a decrease in the air’s emission capability instead of ozone heating shall remain the control on the detr...