Bifurcations in Continuous Piecewise Linear Differential Systems

DOI10.1007/978-3-031-21135-5zbMATH Open1531.34003MaRDI QIDQ6488118

Javier Ros, Elísabet Vela, Enrique Ponce

Publication date: 28 March 2023

Published in: RSME Springer Series (Search for Journal in Brave)

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) Linear ordinary differential equations and systems (34A30) Discontinuous ordinary differential equations (34A36) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Circuits in qualitative investigation and simulation of models (94C60)

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Bifurcations in one-dimensional piecewise smooth maps -- theory and application in switching circuits ⋮ Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve \(xy=0\) and formed by linear Hamiltonian systems ⋮ Poincaré compactification for \(n\)-dimensional piecewise polynomial vector fields: theory and applications ⋮ Andronov-Hopf bifurcation in control systems with nonsmooth functions ⋮ Reconstructing bifurcation diagrams only from time-series data generated by electronic circuits in discrete-time dynamical systems ⋮ Bifurcation in Classical Bipolar Transistor Oscillator Circuits ⋮ Isolas, cusps and global bifurcations in an electronic oscillator

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