2025/01/21 by Wasif Ahamed M, R. Kavitha, M, Wasif Ahamed +8 · 2 citations
Computer Science · Earth and Planetary Sciences · Economics, Econometrics and Finance · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #Computational Physics and Python Applications #FOS: Physical sciences #Meteorological Phenomena and Simulations
paper · pdf · doi:10.48550/arxiv.2501.11894
openalex publication_date 2025/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Many dynamical systems exhibit unexpected large amplitude excursions in the chronological progression of a state variable. In the present work, we consider the dynamics associated with the one-dimensional Higgs oscillator which is realized through gnomic projection of a harmonic oscillator defined on a spherical space of constant curvature onto a Euclidean plane which is tangent to the spherical space. While studying the dynamics of such a Higgs oscillator subjected to damping and an external forcing, various bifurcation phenomena, such as symmetry breaking, period doubling, and intermittency crises are encountered. As the driven parameter increases, the route to chaos takes place via intermittency crisis and we also identify the occurrence of extreme events due to the interior crisis. The study of probability distribution also confirms the occurrence of extreme events. Finally, we train the Long Short-Term Memory neural network model with the time-series data to forecast the extreme events (EEs).