Resonance oscillation and transition to chaos in \(\phi^8\)-Duffing-van der Pol oscillator

DOI10.1007/s40819-021-01005-6zbMath1500.34034OpenAlexW3171410359MaRDI QIDQ2114717

A. O. Adelakun

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01005-6

zbMATH Keywords

unstable statesresonance oscillationbifurcation structureshidden dynamics\( \phi^8\)-DVP oscillator

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Circuits in qualitative investigation and simulation of models (94C60)

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Cites Work

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