Chaotic Dynamical Systems Representation of Seismic Signals through Inverse Frobenius-Perron

The  historical seismic signals recorded for Surigao in the Caraga Region of the Philippines for 2011 to 2017 is modeled as a chaotic dynamical system whose ergodic density is assumed to obey a power-law distribution. This chaotic dynamical system is constructed by using the conjugate approach in  finding solutions for the Inverse Frobenius-Perron Problem (IFPP). This new  method of analysis determines the difference in distribution between the historical and generated  seismic magnitudes. Results show a 76% similarity index between the simulated chaotic dynamics and the actual modified historical seismic data. The study concludes that a chaotic dynamical system can be used as a basis for forecasting earthquake occurrences in this region of the Philippines.

Keywords: chaotic dynamical systems, Inverse Frobenius-Perron, seismic signals, ergodicity, equicontinuity