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Two-dimensional Numerical Simulations of Shoaling Internal Solitar...

By: A. Warn-varnas; K. G. Lamb

Description: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada. The interaction of barotropic tides with Luzon Strait topography generates some of the world's largest internal solitary waves which eventually shoal and dissipate on the western side of the northern South China Sea. Two-dimensional numerical simulations of the shoaling of a single internal solitary wave at the site of the Asian Seas International Acoustic Expe...

Alford, M. H., Lien, R. C., Simmons, H., Klymak, J., Ramp, S., Yang, Y. J., Tang, D., and Chang, M.-H.: Speed and evolution of nonlinear internal waves transiting the South China Sea, J. Phys. Oceanogr., 40, 1338–1355, doi:10.1175/2010JPO4388.1, 2010.; Apel, J. R., Holbrook, J. R., Liu, A. K., and Tsai, J. J.: The Sulu Sea internal soliton experiment, J. Phys. Oceanogr., 15, 1625–1641, 1985.; Boegman, L. and Ivey, G. N....

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Cosmic Ray Momentum Diffusion in the Presence of Nonlinear Alfvén ...

By: G. Michałek; M. Ostrowsky

Description: Obserwatorium Astronomiczne, Uniwersytet Jagielloński, ul. Orla 171, 30-244 Kraków, Poland. The relation between the spatial diffusion coefficient along the magnetic field, kII, and the momentum diffusion coefficient, Dp, for relativistic cosmic ray particles is modelled using Monte Carlo simulations. Wave fields with vanishing wave helicity and cross-helicity, constructed by superpos...

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Localized Alfvénic Solutions of Nondissipative and Compressible Mh...

By: G. Chanteur

Description: Centre d'étude des Environnments Terrestre et Planetéaires, Vélizy, France. Alfvénic solutions of nondissipative MHD are entirely determined by their magnetic configuration. With the supplementary assumption of incompressibility any solenoidal field can be used to construct an Alfvénic solution. It is demonstrated that for nondissipative and compressible MHD the energy equation constrains the magnetic field of Alfvénic solutions to have a constant stren...

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Chaotic Behavior in the Flow Along a Wedge Modeled by the Blasius ...

By: B. Basu; A. S. Sharma; E. Foufoula-georgiou

Description: Department of Civil Engineering, University of Minnesota, Minneapolis, MN 55414, USA. The Blasius equation describes the properties of steady-state two dimensional boundary layer forming over a semi-infinite plate parallel to a unidirectional flow field. The flow is governed by a modified Blasius equation when the surface is aligned along the flow. In this paper, we demonstrate using numerical solution, that as the wedge angle increases, bifurcation occ...

Schwartz, L. W. and Eley, R. R.: Flow of architectural coatings on complex surfaces theory and experiment, J. Eng. Math., 43, 153–171, 2002.; Adomian, G.: A review of the decomposition method in applied mathematics, J. Math. Anal. Appl., 135, 501–544, doi:10.1016/0022-247X(88)90170-9, 1988.; Adomian, G.: A review of the decomposition method and some recent results for nonlinear equations, Comput. Math. Appl., 21(...

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Finding Recurrence Networks' Threshold Adaptively for a Specific T...

By: S. Prasad; J. Kurths; N. Marwan; D. Eroglu

Description: Potsdam Institute for Climate Impact Research, Potsdam, Germany. Recurrence plot based recurrence networks are an approach to analyze time series using complex networks theory. In both approaches, recurrence plots and recurrence networks, a threshold to identify recurrent states is required. The selection of the threshold is important in order to avoid bias of the recurrence network results. In this paper we propose a novel method to choose a recurrence...

Asghari, N., Broeg, C., Carone, L., Casas-Miranda, R., Palacio, J. C. C., Csillik, I., Dvorak, R., Freistetter, F., Hadjivantsides, G., Hussmann, H., Khramova, A., Khristoforova, M., Khromova, I., Kitiashivilli, I., Kozlowski, S., Laakso, T., Laczkowski, T., Lytvinenko, D., Miloni, O., Morishima, R., Moro-Martin, A., Paksyutov, V., Pal, A., Patidar, V., Pecnik, B., Peles, O., Pyo, J., Quinn, T., Rodriguez, A., Romano, M. C., Saikia, E., Stadel, J., Thiel, M., Todorovic, ...

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On the Nonlinear Feedback Loop and Energy Cycle of the Non-dissipa...

By: B.-w. Shen

Description: ESSIC, University of Maryland, College Park, Mesoscale Atmospheric Processes Laboratory, Code 612, NASA Goddard Space Flight Center, Greenbelt, MD 20771, USA. In this study, we discuss the role of the nonlinear terms and linear (heating) term in the energy cycle of the three-dimensional (XYZ) non-dissipative Lorenz model (3D-NLM). (X, Y, Z) represent the solutions in the phase space. We first present the closed-...

Bender, C. M. and Orszag, S. A.: Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill, New York, 593 pp., 1978.; Anthes, R.: Turning the tables on chaos: is the atmosphere more predictable than we assume?, UCAR Magazine, spring/summer, available at: https://www2.ucar.edu/atmosnews/opinion/turning-tables-chaos-atmosphere-more-predictable-we-assum...

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Permanent Bedforms in a Theoretical Model of Wave-sea-bed Interact...

By: D. Bercovici; J. M. Becker

Description: Department of Geology and Geophysics, University of Hawaii at Manoa, Honolulu, HI, 96822, USA. The interaction between sea waves and a deformable sea-bed is studied with a simple two-layer model in which the upper-layer fluid is inviscid and the lower-layer fluid is bi-viscous to account for non-Newtonian behaviour of sand and sediments. The nonlinear response of the system to periodic forcing by an external surface pressure is determined. It is shown t...

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Conditions for Large Earthquakes in a Two-asperity Fault Model : V...

By: S. Santini; M. Dragoni

Description: Dipartimento di Fisica, Università di Bologna, Viale Carlo Berti Pichat 8, 40127 Bologna, Italy. A fault with two asperities is modelled as a system made of two blocks coupled by a spring and sliding on a plane under the same values of static and dynamic friction. An analytical solution is given for the simultaneous motion of the blocks and the corresponding orbits are plotted in the phase space. It is proven that, whichever the initial state is, the lo...

Burridge, R. and Knopoff, L.: Model and theoretical seismology, Bull. Seismol. Soc. Am., 57, 341–371, 1967.; Belardinelli, M. E. and Belardinelli, E.: The quasi-static approximation of the spring-slider motion, Nonlin. Processes Geophys., 3, 143–149, doi:10.5194/npg-3-143-1996, 1996.; Byerlee, J.: Friction of rocks, Pure Appl. Geophys., 116, 616–626, 1978.; Cao, T. and Aki, K.: Seismicity simulation with a mass-spring ...

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A Nonextensive Statistics Approach for Langmuir Waves in Relativi...

By: V. Muñoz

Description: Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile. The nonextensive statistics formalism proposed by Tsallis has found many applications in systems with memory effects, long range spatial correlations, and in general whenever the phase space has fractal or multi-fractal structure. These features may appear naturally in turbulent or non-neutral plasmas. In fact, the equilibrium distribution functions whic...

Abe, S. and Okamoto, Y.: Nonextensive Statistical Mechanics and its Applications, Springer-Verlag, Berlin Heidelberg, 2001.; Anteneodo, C. and Tsallis, C.: Two-dimensional turbulence in pure-electron plasma: A nonextensive thermostatistical description, J. Mol. Liq., 71, 255–267, 1997.; Arimitsu, T. and Arimitsu, N.: Analysis of fully developed turbulence in terms of Tsallis statistics, Phys. Rev. E, 61, 3237–3240, 2000.; Boghosian, B M.: Thermodynamic Description of the...

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External Forcing of Earthquake Swarms at Alpine Regions: Example f...

By: H. Küchenhoff; J. Wassermann; L. Fahrmeir; V. Svejdar

Description: Department of Statistics, Ludwig-Maximilians Univ. Munich, Germany. In the last few years, it has been shown that above-average rainfall and the following diffusion of excess water into subsurface structures is able to trigger earthquake swarms in the uppermost brittle portion of the Earth's crust. However, there is still an ongoing debate on whether the crust already needs to be in a critical-to-failure state or whether it is sufficient that water is ...

Agnew, D. C.: SPOTL: Some programs for ocean-tide loading, SIO Ref. Ser. 96-8, 35 pp., Scripps Institution of Oceanography, La Jolla, CA, 1996.; Ben-Zion Y. and Leary, P.: Thermoelastic strain in a half-space covered by unconsolidated material, BSSA, 76, 1447–1460, 1986.; Akaike, H.: Information theory and an extension of the maximum likelihood principle, in: 2nd International Symposium on Information Theory, edited by: Ptrov, B. N. and Csaki, F., Budapest, 276–81, 1973....

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Characteristic Scales in Landslide Modelling : Volume 16, Issue 4 ...

By: R. Di Maio; L. Milano; E. Piegari

Description: Dipartimento di Scienze della Terra, Napoli, Italy. Landslides are natural hazards occurring in response to triggers of different origins, which can act with different intensities and durations. Despite the variety of conditions that cause a landslide, the analysis of landslide inventories has shown that landslide events associated with different triggers can be characterized by the same probability distribution. We studied a cellular automaton, able t...

Christensen, K. and Olami, Z.: Scaling, phase transitions, and nonuniversality in a self-organized critical cellular-automaton model, Phys. Rev. A., 46, 1829–1838, 1992.; Fredlund, D. G. and Rahardjo H.: Soil Mechanics for Unsatured Soils, Wiley-Interscience, New York, 1993.; Dietrich, W. E., Reiss, R., Hsu, M. L., and Montgomery, D.: A process-based model for colluvial soil depth and shallow landslides using digital elevation data, Hydrol. Processes, 9, 383–400, 1995.; ...

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Local Regularity Analysis of Strata Heterogeneities from Sonic Log...

By: M. Holschneider; M. Hamoudi; N. Zaourar; S. Gaci

Description: Département Géophysique – FSTGAT, Université des Sciences et de la Technologie Houari Boumediene (USTHB), BP 32 El Alia, 16111, Algiers, Algeria. Borehole logs provide geological information about the rocks crossed by the wells. Several properties of rocks can be interpreted in terms of lithology, type and quantity of the fluid filling the pores and fractures.

Here, the logs are assumed to be nonhomogeneous Brownian motions (nhBms) which are ge...

Arizabalo, R. D., Oleschko, K., Korvin, G., Ronquillo, G., and Cedillo-Pardo, E.: Fractal and cumulative trace analysis of wire-line logs from a well in a naturally fractured limestone reservoir in the Gulf of Mexico, Geofis. Int., 43(3), 467–476, 2004.; Arizabalo, R. D., Oleschko, K., Korvin, G., Lozada, M., Castrejón, R., and Ronquillo, G.: Lacunarity of geophysical well logs in the Cantarell oil field, Gulf of Mexico, Geofis. Int., 45(2), 99–113, 2006.; Ayache, A., Be...

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Multiscaling of Porous Soils as Heterogeneous Complex Networks : V...

By: R. M. Benito; J. C. Losada; J. P. Cárdenas; F. Borondo; A. Santiago; A. M. Tarquis

Description: Grupo de Sistemas Complejos, Departamento de Física, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain. In this paper we present a complex network model based on a heterogeneous preferential attachment scheme to quantify the structure of porous soils. Under this perspective pores are represented by nodes and the space for the flow of fluids between them is represented by links. Pore properties such as position and size are descri...

Albert, R. and Barabási, A.-L.: Statistical mechanics of complex networks, Rev. Mod. Phys., 74(1), 47–97, 2002.; Bak, P., Tang, C., and Wiesenfeld, K.: Self-organized criticality: an explanation of 1/f noise, Phys. Rev. Lett., 59, 381-384, 1987.; Barabási, A.-L. and Albert, R.: Emergence of scaling in random networks, Science 286, 509–512, 1999.; Barabási, A.-L., Albert, R., and Jeong, H.: Mean-field theory for scale-free random networks, Phys. A., 272, 173–197, 1999.; B...

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Statistical Characteristics of Surrogate Data Based on Geophysical...

By: C. Simmer; H. W. Rust; S. Bachner; V. Venema

Description: Meteorologisches Institut, Universität Bonn, Germany. In this study, the statistical properties of a range of measurements are compared with those of their surrogate time series. Seven different records are studied, amongst others, historical time series of mean daily temperature, daily rain sums and runoff from two rivers, and cloud measurements. Seven different algorithms are used to generate the surrogate time series. The best-known method is the ite...

Bardet, J.-M., Lang, G., Oppenheim, G., Philippe, A., and Taqqu, M. S.: Generators of long-range dependent processes: A survey, in: Theory and Applications of Long-Range Dependence, edited by: Oppenheim, G., Taqqu, M. S., and Doukha, P., Birkhäuse, Boston, USA, 579–623, 2003.; Beran, J.: Statistics for Long-Memory Processes, Monographs on Statistics and Applied Probability, Chapman & Hall, New York, USA, 1994.; Beran, J., Bhansali, R. J., and Ocker, D.: On unified model ...

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A Sequential Bayesian Approach for the Estimation of the Age–depth...

By: K. Kawamura; K. Suzuki; T. Higuchi; S. Nakano; F. Parrenin

Description: The Institute of Statistical Mathematics, Research Organization of Information and Systems, Tachikawa, 190-8562, Japan. A technique for estimating the age–depth relationship in an ice core and evaluating its uncertainty is presented. The age–depth relationship is mainly determined by the accumulation of snow at the site of the ice core and the thinning process due to the horizontal stretching and vertical compression of ice layers. However, since neithe...

Andrieu, C., Doucet, A., and Holenstein, R.: Particle Markov chain Monte Carlo methods, J. Roy. Stat. Soc. B, 72, 269–342, 2010.; Doucet, A., de Freitas, N., and Gordon, N. (Eds.): Sequential Monte Carlo Methods in Practice, Springer-Verlag, New York, 2001.; Dreyfus, G. B., Parrenin, F., Lemieux-Dudon, B., Durand, G., Masson-Delmotte, V., Jouzel, J., Barnola, J.-M., Panno, L., Spahni, R., Tisserand, A., Siegenthaler, U., and Leuenberger, M.: Anomalous flow below 2700 m i...

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Stable Langmuir Solitons in Plasma with Diatomic Ions : Volume 20,...

By: M. Dvornikov

Description: Institute of Physics, University of São Paulo, CP 66318, CEP 05315-970 São Paulo, SP, Brazil. We study stable axially and spherically symmetric spatial solitons in plasma with diatomic ions. The stability of a soliton against collapse is provided by the interaction of induced electric dipole moments of ions with the rapidly oscillating electric field of a plasmoid. We derive the new cubic-quintic nonlinear Schrödinger equation, which governs the soliton ...

Burger, S., Bongs, K., Dettmer, S., Ertmer, W., Sengstock, K., Sanpera, A., Shlyapnikov, G. V., and Lewenstein, M.: Dark solitons in Bose-Einstein condensates, Phys. Rev. Lett., 83, 5198–5201, doi:10.1103/PhysRevLett.83.5198, 1999.; Bychkov, V. L., Nikitin, A. I., and Dijkhuis, G. C.: Ball lightning investigations, in: The Atmosphere and Ionosphere: Dynamics, Processing and Monitoring, edited by: Bychkov, V. L., G...

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On the Multi-scale Nature of Large Geomagnetic Storms: an Empirica...

By: R. Tozzi; G. Consolini; P. De Michelis

Description: Istituto Nazionale di Geofisica e Vulcanologia, 00143 Roma, Italy. Complexity and multi-scale are very common properties of several geomagnetic time series. On the other hand, it is amply demonstrated that scaling properties of geomagnetic time series show significant changes depending on the geomagnetic activity level. Here, we study the multi-scale features of some large geomagnetic storms by applying the empirical mode decomposition technique. This m...

Kamide, Y.: Is substorm occurrence a necessary condition for a magnetic storm?, J. Geomagn. Geoelectr., 44, 109–117, 1992.; Chang, T., Tam, S. W. Y., Wu, C. C., and Consolini, G.: Complexity, forced and/or self-organized criticality, and topological phase transitions in space plasmas, Space Sci. Rev., 107, 425–445, 2003.; Chapman, S. C. and Watkins, N. W.: Avalanching and self organised criticality: a paradigm for magnetospheric dynamics?, Space Sci. Rev., 95, 293–307, 2...

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Growth of Finite Errors in Ensemble Prediction : Volume 13, Issue ...

By: F. Kwasniok; M. Harle; U. Feudel

Description: Institute for Chemistry and Biology of the Marine Environment, University of Oldenburg, Oldenburg, Germany. We study the predictability of chaotic conservative and dissipative maps in the context of ensemble prediction. Finite-size perturbations around a reference trajectory are evolved under the full nonlinear system dynamics; this evolution is characterized by error growth factors and investigated as a function of prediction time and initial perturbati...

Buizza, R.: Optimal perturbation time evolution and sensitivity of ensemble prediction to perturbation amplitude, Quart. J. Roy. Meteorol. Soc., 121, 1705-1738, 1996.; Chirikov, B V.: A universal instability of many-dimensional oscillator systems, Phys. Rep., 52, 263-379, 1979.; Fraedrich, K., Ziehmann, C., and Sielmann, F.: Estimates of Spatial Degrees of Freedom, J. Climate, 8, 361-369, 1995.; Grebogi, C., Ott, E., and Yorke, J.: Attractors on an $N$-torus: Quasiperiod...

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The Fourth Workshop on Nonlinear Processes in Space Plasmas: Epilo...

By: S. R. Spangler

Description: Department of Physics and Astronomy, University of Iowa, USA.

No Abstract available.

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Sub-inertial Modulation of Nonlinear Kelvin Waves in the Coastal Z...

By: D. V. Stepanov; V. V. Novotryasov

Description: V. I. Ilichev Pacific Oceanological Institute, Vladivostok, Russia. Observational evidence is presented for interaction between nonlinear internal Kelvin waves at the Ωt,i (where the Ωt is the semidiurnal frequency and the Ωi is the inertial frequency) and random oscillations of the background coastal current at the sub-inertial Ω frequency in the Japan/East Sea. Enhanced coastal currents at the sum Ω+ and di...

Emery, W. J. and Thomson, R. E.: Data Analysis Methods in Physical Oceanography, Pergamon Press, New York, 1997.; Filonov, A. and Novotryasov, V.: Features of the nonlinear wave spectrum in the coastal zone. Geophiys. Res. Lett., 32, L15602, doi:10.1029/2005GL023046, 2005.; Filonov, A. and Novotryasov, V.: On a spectrum of nonlinear internal waves in the oceanic coastal zone, Nonlin. Processes Geophys., 14, 757–762,

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