Transcritical Bifurcation without Parameters in Memristive Circuits

DOI10.1137/16M1076009zbMath1386.34017arXiv1605.05925MaRDI QIDQ4602784

Ricardo Riaza

Publication date: 2 February 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05925

zbMATH Keywords

normal hyperbolicitydifferential-algebraic equationmemristornonlinear circuitmanifold of equilibriatranscritical bifurcation without parameters

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Analytic circuit theory (94C05) Applications of graph theory to circuits and networks (94C15) Invariant manifolds for ordinary differential equations (34C45) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (5)

Local analytic classification for quasi-linear implicit differential systems at transversal singular points ⋮ Multistability, scattering and selection of equilibria in the mechanical system with constraint ⋮ Associate Submersions and Qualitative Properties of Nonlinear Circuits with Implicit Characteristics ⋮ Nonparametric Bifurcation and Anti-Control of Hyperchaos in a Memristor–Memcapacitor-Based Circuit ⋮ Subcritical Andronov–Hopf scenario for systems with a line of equilibria

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