TRANSITION TO CHAOS IN PLASMA DENSITY WITH ASYMMETRY DOUBLE-WELL POTENTIAL FOR PARAMETRIC AND EXTERNAL HARMONIC OSCILLATIONS

DOI10.1142/S0218127411029471zbMath1248.34052OpenAlexW2094412615MaRDI QIDQ3165805

M. Siewe Siewe, C. Nono Dueyou Buckjohn, Timoléon Créprin Kofané, Clément Tchawoua

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411029471

zbMATH Keywords

chaoshomoclinic bifurcationglobal dynamicsMelnikov methoddensity plasma

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Statistical mechanics of plasmas (82D10) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

Orbital stability and homoclinic bifurcation in a parametrized deformable double-well potential ⋮ Analysis of vibrational resonance in bi-harmonically driven plasma ⋮ Saddle-Node Bifurcation and Vibrational Resonance in a Fractional System with an Asymmetric Bistable Potential

Cites Work

• Chaotic response of a quarter car model forced by a road profile with a stochastic component
• Role of nonlinear dissipation in the suppression of chaotic escape from a potential well
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
• A nonlinear oscillator with a strange attractor
• PERIODIC WINDOW AND PERIOD SUBTRACTING IN AN ION-BEAM PLASMA SYSTEM
• A Van der Pol–Mathieu equation for the dynamics of dust grain charge in dusty plasmas

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