Global Hopf Bifurcation in a Simple Climate Model

1983 ◽  
Vol 43 (5) ◽  
pp. 1019-1041 ◽  
Author(s):  
Michael Ghil ◽  
John Tavantzis
Keyword(s):  
Hopf Bifurcation ◽  
Climate Model ◽  
Global Hopf Bifurcation ◽  
Simple Climate Model

Sensitivity of the boundary layer energy fluxes to forcing parameters in a simple climate model

Tellus ◽  
1982 ◽  
Vol 34 (4) ◽  
pp. 321-333
Author(s):  
M. Sankar Rao ◽  
G. Dalu ◽  
R. C. Lo
Keyword(s):  
Boundary Layer ◽  
Climate Model ◽  
Energy Fluxes ◽  
Simple Climate Model

scholarly journals Global Hopf bifurcation of a population model with stage structure and strong Allee effect

2017 ◽  
Vol 10 (5) ◽  
pp. 973-993 ◽  
Author(s):  
Pengmiao Hao ◽  
◽  
Xuechen Wang ◽  
Junjie Wei
Keyword(s):  
Hopf Bifurcation ◽  
Population Model ◽  
Allee Effect ◽  
Stage Structure ◽  
Global Hopf Bifurcation ◽  
Strong Allee Effect

Global Hopf Bifurcation in a Phytoplankton–Zooplankton System with Delay and Diffusion

2021 ◽  
Vol 31 (08) ◽  
pp. 2150114
Author(s):  
Ming Liu ◽  
Jun Cao ◽  
Xiaofeng Xu
Keyword(s):  
Hopf Bifurcation ◽  
Global Existence ◽  
Upper And Lower Solutions ◽  
Positive Periodic Solutions ◽  
Global Hopf Bifurcation ◽  
System With Delay ◽  
Local Hopf Bifurcation ◽  
Distribution Of Eigenvalues ◽  
The Stability ◽  
And Diffusion

In this paper, the dynamics of a phytoplankton–zooplankton system with delay and diffusion are investigated. The positivity and persistence are studied by using the comparison theorem and upper and lower solutions method. The stability of steady states and the existence of local Hopf bifurcation are obtained by analyzing the distribution of eigenvalues. And the global existence of positive periodic solutions is established by using the global Hopf bifurcation result given by Wu [1996]. Finally, some numerical simulations are carried out to illustrate the analytical results.

A Simple Climate Model

2021 ◽  
pp. 53-68
Keyword(s):  
Climate Model ◽  
Simple Climate Model

scholarly journals On Long-Period Internal Oscillations in a Simple Climate Model with an Ice Sheet (Abstract)

1984 ◽  
Vol 5 ◽  
pp. 200 ◽  
Author(s):  
G. E. Birchfield ◽  
J. Weertman
Keyword(s):  
Climate Model ◽  
Ice Sheet ◽  
Simple Climate Model ◽  
Long Period

scholarly journals Space-based geoengineering: Challenges and requirements

2009 ◽  
Vol 224 (3) ◽  
pp. 571-580 ◽  
Author(s):  
C R McInnes
Keyword(s):  
Climate Change ◽  
Carbon Dioxide ◽  
Large Scale ◽  
Climate Model ◽  
Carbon Dioxide Concentration ◽  
Complex Solution ◽  
Lagrange Point ◽  
Simple Climate Model ◽  
Earth’S Climate

The prospect of engineering the Earth's climate (geoengineering) raises a multitude of issues associated with climatology, engineering on macroscopic scales, and indeed the ethics of such ventures. Depending on personal views, such large-scale engineering is either an obvious necessity for the deep future, or yet another example of human conceit. In this article a simple climate model will be used to estimate requirements for engineering the Earth's climate, principally using space-based geoengineering. Active cooling of the climate to mitigate anthropogenic climate change due to a doubling of the carbon dioxide concentration in the Earth's atmosphere is considered. This representative scenario will allow the scale of the engineering challenge to be determined. It will be argued that simple occulting discs at the interior Lagrange point may represent a less complex solution than concepts for highly engineered refracting discs proposed recently. While engineering on macroscopic scales can appear formidable, emerging capabilities may allow such ventures to be seriously considered in the long term. This article is not an exhaustive review of geoengineering, but aims to provide a foretaste of the future opportunities, challenges, and requirements for space-based geoengineering ventures.

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