title: Chaos emerging in soil failure patterns observed during tillage: Normalized deterministic nonlinear prediction (NDNP) and its application.
abstract: Real-world processes are often combinations of deterministic and stochastic processes. Soil failure observed during farm tillage is one example of this phenomenon. In this paper, we investigated the nonlinear features of soil failure patterns in a farm tillage process. We demonstrate emerging determinism in soil failure patterns from stochastic processes under specific soil conditions. We normalized the deterministic nonlinear prediction considering autocorrelation and propose it as a robust way of extracting a nonlinear dynamical system from noise contaminated motion. Soil is a typical granular material. The results obtained here are expected to be applicable to granular materials in general. From a global scale to nano scale, the granular material is featured in seismology, geotechnology, soil mechanics, and particle technology. The results and discussions presented here are applicable in these wide research areas. The proposed method and our findings are useful with respect to the application of nonlinear dynamics to investigate complex motions generated from granular materials.
authors.affiliation: Department of Environmental and Agricultural Engineering, Tokyo University of Agriculture and Technology, Fuchu, Tokyo 183-8509, Japan.
authors.forename: Kenshi
authors.identifier: 0000000278871709
authors.initials: K
authors.lastname: Sakai
authors.affiliation: Department of Biological and Agricultural Engineering, University of California, Davis, California 95616, USA.
authors.forename: Shrinivasa K
authors.initials: SK
authors.lastname: Upadhyaya
authors.affiliation: Department of Agricultural and Biological Engineering, The University of Arizona, Tucson, Arizona 85721-0038, USA.
authors.forename: Pedro
authors.initials: P
authors.lastname: Andrade-Sanchez
authors.affiliation: Computing Center, Far East Branch Russian Academy of Science, 65, Kim-Yu-Chen, Khabarovsk 680000, Russia.
authors.forename: Nina V
authors.identifier: 0000000158500604
authors.initials: NV
authors.lastname: Sviridova