Chaos, periodicity, and multistability in a plasma oscillator forced by a non-sinusoidal wave function
Year: 2024
Type: article
Abstract: In this paper we report on the dynamics of a plasma oscillator forced by a non-sinusoidal wave function, which is modeled by a six-parameter nonhomogeneous second-order ordinary differential equation. We keep four of these parameters constant, and investigate the dynamics of this system by varying other two parameters, namely A and ω , which are related to the amplitude and the angular frequency of the components of a Fourier series consisting of an expansion of cosine functions, that represents the external forcing. We investigate points in the two-dimensional ( ω , A ) parameter-space of the forced plasma oscillator, with the dynamical behavior of each these points being characterized as regular or chaotic, depending on the magnitude of the largest Lyapunov exponent. Then we show that this parameter-space reveals regions of occurrence of the multistability phenomenon in the system. Properly generated bifurcation diagrams confirm this finding. Basins of attraction of coexisting periodic and chaotic attractors in the phase-space are presented, as well as the coexisting attractors themselves. • We investigate a plasma oscillator non-sinusoidally forced. • We investigate the organization of the dynamics in parameter planes. • Multistability regions were detected. • Basins of attraction and attractors of coexisting states were generated.
Source: Fundamental Plasma Physics
Authors: Julio C. Sagás, Abel A.C. Recco, Paulo C. Rech
Institution: Universidade do Estado de Santa Catarina
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,000
OpenAlex ID: W4402297662