Chaos emerging in soil failure patterns observed during tillage: Normalized deterministic nonlinear prediction (NDNP)...

Area of Science:

• Geophysics
• Soil Mechanics
• Nonlinear Dynamics

Background:

• Real-world processes often blend deterministic and stochastic elements.
• Soil failure during farm tillage exemplifies this complex behavior.
• Granular materials are prevalent across various scientific disciplines.

Purpose of the Study:

• Investigate nonlinear features of soil failure patterns in farm tillage.
• Demonstrate emerging determinism in soil failure from stochastic processes.
• Propose a robust method for extracting nonlinear dynamical systems from noisy data.

Main Methods:

• Analysis of soil failure patterns during farm tillage.
• Normalization of deterministic nonlinear prediction accounting for autocorrelation.
• Application of nonlinear dynamics to extract systems from contaminated motion.

Main Results:

• Identified emerging determinism in soil failure patterns under specific conditions.
• Developed a normalized nonlinear prediction method.
• Showcased the method's robustness in extracting dynamical systems from noise.

Conclusions:

• Soil failure exhibits predictable nonlinear dynamics, even amidst stochastic processes.
• The proposed method effectively extracts nonlinear dynamical systems from noisy granular material data.
• Findings are broadly applicable to granular materials in geophysics, geotechnology, and particle technology.