Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit

DOI10.1098/RSPA.2007.1882zbMath1140.34021OpenAlexW2149002972MaRDI QIDQ5438425

Michele V. Bartuccelli, Jonathan H. B. Deane, Guido Gentile

Publication date: 23 January 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.398.5065

zbMATH Keywords

bifurcationnonlinear dynamicsdissipative systemsubharmonic solutionelectrical circuit

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Linearly implicit Liénard systems ⋮ Frequency locking in an injection-locked frequency divider equation ⋮ Quasiperiodic motions in dynamical systems: Review of a renormalization group approach ⋮ Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems

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