Anisotropy and spatial scaling aspects in the dynamics of evolving dissipative systems with discrete appearance
Dpt. of Geography and Env. Studies Prog., Saint Mary's Unive
Last modified: May 17, 2006
This study focuses on space-time patterns of energy dissipation events occurring in complex dynamic systems subject to quasi-constant drive. The proposed approach relies on the expansion of the events thread analysis method, which consists of the construction and characterization of strings connecting discrete events in their temporal sequence. Events threads projections are generated for different spatial orientations and long-range correlations are identified using detrended fluctuation analysis. Scaling exponents for each spatial orientation are represented in persistence diagrams, portraying the relationship between scaling aspects and anisotropy. Based on the resulting dynamic fingerprints, one can identify changes occurring in the behaviour of the dissipative system over time. The proposed methodology is applied to seismicity patterns related to hotspot volcanism. This approach reveals new aspects of system dynamics, complementing those from other information sources (e.g. geophysical and geological investigation), contributing to an effective framework for the study of evolving geosystems.