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SIAM journal on applied dynamical systems, ISSN 1536-0040, 2013, Volume 12, Issue 4, pp. 2068 - 2092
...SIAM J. APPLIED DYNAMICAL SYSTEMS c Vol. 12, No. 4, pp. 20682092 Dynamics of the Budyko Energy Balance Model Esther R. Widiasih Abstract. A dynamical system... 
Climate | Invariant manifold | Budyko | Energy balance model | Dynamical systems | Integro-difference equation | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology
Journal Article
Journal of the atmospheric sciences, ISSN 0022-4928, 04/2016, Volume 73, Issue 4, pp. 1755 - 1766
Very strong El Nino events occur sporadically every 10-20 yr. The origin of this bursting behavior still remains elusive. Using a simplified three-dimensional... 
Atm/Ocean structure/ Phenomena | Nonlinear models | El Nino | ENSO | Southern oscillation | Circulation/ dynamics | Differential equations | Mathematical and statistical techniques | La Nina | Models and modeling | Meteorology & Atmospheric Sciences | Physical Sciences | Science & Technology
Journal Article
Mathematics (Basel), ISSN 2227-7390, 03/2020, Volume 8, Issue 3, p. 316
We present a new discontinuous ordinary differential equation (ODE) model of the glacial cycles. Model trajectories flip from a glacial to an interglacial... 
Physical Sciences | Mathematics | Science & Technology | differential equation | limit cycle | differential inclusion | invariant manifold
Journal Article
Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, 01/2014, Volume 19, Issue 1, pp. 257 - 279
Energy Balance Models (EBM) are conceptual models which have proved useful in the study of planetary climate. The focus of EBM is placed on large scale climate... 
Bifurcations | Ice line | Climate modeling | Invariant manifolds | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
SIAM journal on applied dynamical systems, ISSN 1536-0040, 2014, Volume 13, Issue 1, pp. 518 - 536
... McGehee and Esther Widiasih Abstract. The classical Budyko model of ice-albedo feedback describes Earths ice cap location as an equilibrium solution of an integro... 
Paleoclimate | Dimension reduction | Budyko's model | Ice-albedo feedback | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Approximation | Feedback | Dynamics | Mathematical analysis | Differential equations | Surface temperature | Mathematical models | Dynamical systems
Journal Article
Nonlinearity, ISSN 0951-7715, 05/2016, Volume 29, Issue 6, pp. 1843 - 1864
Conceptual climate models provide an approach to understanding climate processes through a mathematical analysis of an approximation to reality. Recently,... 
glacial cycle | nonsmooth vector field | limit cycle | Physical Sciences | Mathematics | Mathematics, Applied | Physics | Physics, Mathematical | Science & Technology | Ice sheets | Mathematical analysis | Differential equations | Mathematical models | Orbits | Fields (mathematics) | Dynamical systems | Ablation
Journal Article
06/2018
A conceptual model of the Plio-Pleistocene glacial cycles is developed based on the Budyko-Sellers type energy balance model. The model is shown to admit a... 
Journal Article
Physica. D, ISSN 0167-2789, 02/2015, Volume 292-293, pp. 70 - 83
Journal Article
Discrete and continuous dynamical systems. Series B, ISSN 1531-3492, 08/2017, Volume 22, Issue 6, pp. 2447 - 2463
In latitude-dependent energy balance models, ice-free and ice-covered conditions form physical boundaries of the system. With carbon dioxide treated as a... 
Bifurcations | Conceptual climate models | Nonsmooth dynamical systems | Snowball Earth | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
05/2011
A dynamical system derived from a conceptual climate model is investigated. The model is often referred to as Budyko-Sellers type Energy Balance Model (EBM),... 
Mathematics - Dynamical Systems
Journal Article
06/2014
Discrete and Continuous Dynamical Systems-Series B 22.6 (2017): 2447-2463 In latitude-dependent energy balance models, ice-free and ice-covered conditions form... 
Mathematics - Dynamical Systems
Journal Article
11/2015
Very strong El Ni\~no events occur sporadically every 10-20 years. The origin of this bursting behavior still remains elusive. Using a simplified 3-dimensional... 
Mathematics - Dynamical Systems
Journal Article
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