Hopf bifurcation of hybrid van der Pol oscillators
DOI10.1016/j.nahs.2017.05.003zbMath1386.34070OpenAlexW2735887459MaRDI QIDQ1680831
Oscar Montano, Leonardo Herrera, Yury V. Orlov
Publication date: 16 November 2017
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2017.05.003
periodic solutionsunilateral constraintsHopf bifurcationNeimark-Sacker bifurcationVan der Pol oscillator
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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
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Cites Work
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- Self-oscillations in dynamic systems. A new methodology via two-relay controllers
- Perturbations and Hopf bifurcation of the planar discontinuous dynamical system
- Control design for a biped: reference trajectory based on driven angles as functions of the undriven angle
- Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
- Nonsmooth mechanics. Models, dynamics and control.
- Switching in systems and control
- Modeling of a bipedal locomotor using coupled nonlinear oscillators of Van der Pol
- Bifurcation of discontinuous limit cycles of the Van der Pol equation
- Piecewise-smooth dynamical systems. Theory and applications
- NonlinearH∞-control under unilateral constraints
- Asymptotic harmonic generator and its application to finite time orbital stabilization of a friction pendulum with experimental verification
- Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
- Discontinuity geometry for an impact oscillator
- Adaptive stabilization of a class of nonlinear systems with nonparametric uncertainty
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