Mixed-mode oscillations and chaotic solutions of \textit{jerk} (Newtonian) equations

DOI10.1016/j.cam.2013.07.022zbMath1297.34059OpenAlexW2014577365MaRDI QIDQ2252382

Wieslaw Marszalek, Zdzislaw W. Trzaska

Publication date: 17 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.07.022

zbMATH Keywords

chaosbifurcationsmixed-mode oscillationsjerk equationsNewtonian oscillations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Relaxation oscillations for ordinary differential equations (34C26)

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Cites Work

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• Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example
• Double singularity-induced bifurcation points and singular Hopf bifurcations
• Design and implementation of n-scroll chaotic attractors from a general jerk circuit
• The Flow of a DAE near a Singular Equilibrium

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