A Boolean Delay Equation Model of Colliding Cascades. Part I: Multiple Seismic Regimes

نویسندگان

  • Ilya Zaliapin
  • Vladimir Keilis-Borok
  • Michael Ghil
چکیده

1 International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia, and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, 90095-1567; e-mail: [email protected] 2 International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia, and Institute of Geophysics and Planetary Physics and Department of Earth and Space Sciences, University of California, Los Angeles; e-mail: [email protected] 3 Department of Atmospheric Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, and Département Tere-Atmosphère-Océan and Laboratoire de Météorologie Dynamique, Ecole Normale Supérieure, Paris; e-mail: ghil@ atmos.ucla.edu 4 To whom correspondence should be addressed. Received October 23, 2001; accepted October 11, 2002

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Boolean Delay Equation Model of Colliding Cascades. Part II: Prediction of Critical Transitions

1 International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia, and Institute of Geophysics and Planetary Physics, University of California, Los Angeles 90095-1567, USA; e-mail: [email protected] 2 International Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia, an...

متن کامل

Critical transitions in colliding cascades

We consider here the interaction of direct and inverse cascades in a hierarchical nonlinear system that is continuously loaded by external forces. The load is applied to the largest element and is transferred down the hierarchy to consecutively smaller elements, thereby forming a direct cascade. The elements of the system fail (i. e., break down) under the load. The smallest elements fail first...

متن کامل

A Novel Fractal Way: Boolean Delay Equations, and Their Applications to the Geosciences

Abstract. Boolean Delay Equations (BDEs) are a novel type of semi-discrete dynamical models with Boolean-valued variables that evolve in continuous time. Systems of BDEs can be classified into conservative or dissipative, in a manner that parallels the classification of ordinary or partial differential equations. Solutions to certain conservative BDEs exhibit growth of complexity in time. They ...

متن کامل

Facies Modeling of Heterogeneous Carbonates Reservoirs by Multiple Point Geostatistics

Facies modeling is an essential part of reservoir characterization. The connectivity of facies model is very critical for the dynamic modeling of reservoirs. Carbonate reservoirs are so heterogeneous that variogram-based methods like sequential indicator simulation are not very useful for facies modeling. In this paper, multiple point geostatistics (MPS) is used for facies modeling in one of th...

متن کامل

Use of the Sturm-Liouville problems in the seismic response of earth dams and embankments

In this paper, we obtain a suitable mathematical model for the seismic response of dams. By using the shear beam model (SB model), we give a mathematical formulation that it is a partial differential equation and transform it to the Sturm-Liouville equation.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003