Chaotic behavior of an accelerated electron driven by a non-autonomous Lorenz-Type Laser Field (LTLF)

Abstract

There is significant potential for studying the chaotic behavior of charged particles driven by laser fields. Recent technological advancements in the generation of ultrahigh-intensity electromagnetic fields have further increased the relevance of this topic. In this study, a mathematical model was developed by modifying the Lorenz system to incorporate the effects of an electromagnetic field. The resulting system, referred to as the Lorenz-Type Laser Field (LTLF) system, introduces time-dependent variations in the three Lorenz parameters. A dynamical analysis of the non-autonomous LTLF system was conducted using stability analysis, Lyapunov exponents, bifurcation diagrams, and basins of attraction. The chaotic dynamics of accelerated electrons governed by the LTLF system were investigated theoretically. The findings reveal a rich variety of behaviors, including transitions between dynamical regimes, intermittent chaos, complex bifurcation sequences, and significant attractor deformations.