Description: Dipartimento di Fisica, Alma Mater Studiorum – Università di Bologna – Viale Carlo Berti Pichat 8, 40127 Bologna, Italy. The behaviour of seismogenic faults is generally investigated under the assumption that they are subject to a constant strain rate. We consider the effect of a slowly variable strain rate on the recurrence times of earthquakes generated by a single fault. To this aim a spring-block system is employed as a low-order analog of the fault....
Abaimov, S. G., Turcotte, D. L., Shcherbakov, R., and Rundle, J. B.: Recurrence and interoccurrence behavior of self-organized complex phenomena, Nonlin. Processes Geophys., 14, 455–464, doi:10.5194/npg-14-455-2007, 2007.; Baiesi, M.: Correlated earthquakes in a self-organized model, Nonlin. Processes Geophys., 16, 233-240, doi:10.5194/npg-16-233-2009, 2009.; Burri...
Description: Department of Earth, Atmospheric, and Planetary Sciences and Department of Statistics, Purdue University, West Lafayette, IN 47907, USA. In atmospheric time series analysis, where only one record is typically available, subsampling (which works under the weakest assumptions among resampling methods), is especially useful. In particular, it yields large-sample confidence intervals of asymptotically correct coverage probability. Atmospheric records,...
Hall, P.: On symmetric bootstrap confidence intervals, J. Royal Stat. Soc. B, 50, 35–45, 1988.; Bertail, P., Politis, D. N., and Romano, J. P.: On subsampling estimators with unknown rate of convergence, J. Amer. Statist. Assoc., 94, 569–579, 1999.; Collet, P. and Eckmann, J.-P.: Concepts and Results in Chaotic Dynamics: A Short Course, Springer, 2006.; Davison, A. and Hinkley, D.: Bootstrap Methods and Their Application, Cambridge University Press, 1997. \bibitem[Fan an...
Description: Solar-Terrestrial Environment Laboratory, Nagoya University, Nagoya, Aichi 464-8601, Japan. Amplitude modulation and packet formation of Langmuir waves are commonly observed during a nonlinear interaction between electron beams and plasmas. In this paper, we briefly review the history of Langmuir wave packets as developed by recent spacecraft observations and computer simulations. New one-dimensional electrostatic Vlasov simulations are performed to ...
Akimoto, K., Omura, Y., and Matsumoto, H.: Rapid generation of Langmuir wave packets during electron beam-plasma instabilities, Phys. Plasmas, 3, 2559–2563, 1996.; % Solar wind Bale, S D., Burgess, D., Kellogg, P. J., Goetz, K., Howard, R L., and Monson, S J.: Phase coupling in Langmuir wave packets: Possible evidence of three-wave interactions in the upstream solar wind, Geophys. Res. Lett., 23, 109–112, 1996.; Berk, H. L. and Roberts, K. V.: Nonlinear study of Vlasov's...
Description: Department of Mathematics and Statistics, University of Maryland-Baltimore County, Baltimore, Maryland, USA. A one dimensional non-linear magneto-hydrodynamic (MHD) system has been introduced to test a sequential optimal interpolation assimilation technique that uses a Monte-Carlo method to calculate the forecast error covariance. An ensemble of 100 model runs with perturbed initial conditions are used to construct the covariance, and the assimilation alg...
Bloxham, J., Gubbins, D., and Jackson, A.: Geomagnetic secular variation, Phil. Trans. Roy. Soc. Lond. A, 329, 415–502, 1989.; Borovikov, A., Rienecker, M. M., Keppene, C. L., and Johnson, C. C.: Multivariate error covariance estimates by Monte-Carlo simulation for assimilation studies in the Pacific Ocean, Monthly Weather Review, 133, 2310–2334, 2005.; Braginsky, S. I.: Magnetic waves in the Earth's core, Geomag. Aeron., 7, 851–859, 1967.; Braginsky, S. I.: Torsional ma...
Description: Ben-Gurion University, Beer-Sheva, Israel. We propose a new avalanching model which is characterized by a) a local threshold in the transition from passive to active states, b) finite life time of active sites, and c) is dissipative. This model seems to be more appropriate for the description of a continuous system where localized reconnection plays a crucial role. The model allows for an analytical treatment. We establish the shape of the distribution ...