Last updated: 3/22/12


Dynamical systems and miscellaneous

Chekroun, M. D., D. Kondrashov and M. Ghil (2011)

"Predicting stochastic systems by noise sampling,
and application to the El Nio-Southern Oscillation,"

Proc. Nat. Acad. Sci. USA, 108 (29), 11766--11771, doi: 10.1073/pnas.1015753108.


B. Coluzzi, M. Ghil, S. Hallegatte, and G. Weisbuch (2011) (PDF file)

"Boolean delay equations on networks in economics and the geosciences,"
invited paper for Special Issue on The Complexity Paradigm: Understanding the Dynamics of Weather and Climate,

Intl. J. Bifurcation & Chaos, 21(12), 35113548, doi: 10.1142/S0218127411030702.

Electronic version of an article published as
[Intl. J. Bifurcation & Chaos, 21(12) , 2011, 3511-3538] [doi: 10.1142/S0218127411030702.] [copyright World Scientific Publishing Company]


I. Zaliapin and M. Ghil (2010) (PDF File).

"A delay differential model of ENSO variability, Part 2:
Phase locking, multiple solutions, and dynamics of extrema," Nonlin. Proc. Geophys
., 17, 123135.


L. Roques and M. D. Chekroun (2009)(PDF file)

"Does reaction-diffusion support the duality of fragmentation effect?"

Ecological Complexity, in press.


M. Chekroun, E. Simonnet, M. Ghil (2011)

"Stochastic Climate Dynamics: Random Attractors and Time-dependent Invariant Measures ,"

Physica D., 240 (21), 1685--1700, doi:10.1016/j.physd.2011.06.005.


P. Dumas, M. Ghil, A. Groth and S. Hallegatte (2009)(PDF file)

"Dynamic coupling of the climate and macroeconomic systems,"

Math. Social Sci., to appear.


M. Ghil and I. Zaliapin (2009) (PDF File).

"Understanding ENSO variability and its extrema:
A delay differential equation approach,"

AGU Monograph on "Observations, Modeling and Economics of Extreme Events"

(M. Chavez, M. Ghil and J. Urrutia, Eds.), sub judice.


Zaliapin, I., E. Foufoula-Georgiou, and M. Ghil (2009) (PDF file)

"Transport on river networks: A dynamical approach,"

J. Geophys. Res.-Earth Surface, Special Issue on
"Stochastic Transport and Emergent Scaling on the Earth's Surface,"

doi:10.1029/2009JF001281, in press.


M. Ghil, I. Zaliapin, and S. Thompson (2008) (PDF File).

"A delay differential model of ENSO variability:
Parametric instability and the distribution of extremes," Nonlin. Proc. Geophys
., 15, 417--433.


S. Hallegatte and M. Ghil (2008)(PDF file)

"Natural disasters impacting a macroeconomic model with endogenous dynamics,"

Ecological Economics, 68, 582592, doi:10.1016/j.ecolecon.2008.05.022 .


S. Hallegatte, M. Ghil, P. Dumas, and J.-C. Hourcade (2007)(PDF file)

"Business cycles, bifurcations and chaos in a neo-classical model with investment dynamics,"

J. Economic Behavior & Organization, 67, 5777, doi: 10.1016/j.jebo.2007.05.001.


E. Simonnet, H. A. Dijkstra, and M. Ghil (2009)(PDF file)

"Bifurcation analysis of ocean, atmosphere and climate models,"
in "Computational Methods for the Ocean and the Atmosphere"

(Eds., R. Temam and J. Tribbia), North-Holland, pp. 187229.


Ghil, M., and I. Zaliapin (2006) (PDF File).

"Une nouvelle source de fractales : les équations booléennes avec retard,
et leurs applications aux sciences de la planète,"
in L'irruption des géométries fractales dans les sciences,Une apologie de l'oeuvre de Benoît Mandelbrot,
Editions de l'Académie Européenne Interdisciplinaire des Sciences, Paris, pp. 161--187


Chekroun, M., M. Ghil, J. Roux, and F. Varadi (2006)(Final version, PDF file)

"Averaging of time-periodic systems without a small parameter,"

Discrete & Contin. Dyn. Systems, 14, 753-782.


Loeuille, N., and M. Ghil (2004)(PDF file)

"Intrinsic and climatic factors in North American animal population dynamics,"

BMC Ecology 2004, 4:6 (12 pp.).


F. Varadi, B. Runnegar, and M. Ghil (2003) (PDF file)

"Successive Refinements in Long-Term Integrations of Planetary Orbits,"

Astrophysical Journal, 592, 620-630.


A. Saunders and M. Ghil, Revised Version (2001), PDF files of Text and Figures.

"A Boolean delay equation model of ENSO variability," Physica D ., 160, 54-78.


I. Zaliapin, V. Keilis-Borok and M. Ghil (2002a) (PDF file)

"A Boolean Delay Equation Model of Colliding Cascades.

Part I: Multiple Seismic Regimes," J. Statistical Physics, 111, 815–837, 2003.


I. Zaliapin, V. Keilis-Borok and M. Ghil (2002b) (PDF file)

"A Boolean Delay Equation Model of Colliding Cascades.

Part II: Prediction of Critical Transitions," J. Statistical Physics, 111, 839–861, 2003.