SHOOTING METHODS FOR LOCATING GRAZING PHENOMENA IN HYBRID SYSTEMS

DOI10.1142/S0218127406015040zbMath1141.37311OpenAlexW2067694918MaRDI QIDQ3510191

Vaibhav Donde, Ian A. Hiskens

Publication date: 2 July 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127406015040

Mathematics Subject Classification ID

Discrete event control/observation systems (93C65) Dynamical systems in control (37N35) Local and nonlocal bifurcation theory for dynamical systems (37G99) Smooth dynamical systems: general theory (37C99) Numerical problems in dynamical systems (65Pxx)

Related Items (10)

Switching-induced stable limit cycles ⋮ Discontinuous dynamics with grazing points ⋮ Identification, Stability and Stabilization of Limit Cycles in a Compass-Gait Biped Model via a Hybrid Poincaré Map ⋮ Poincaré maps design for the stabilization of limit cycles in non-autonomous nonlinear systems via time-piecewise-constant feedback controllers with application to the chaotic Duffing oscillator ⋮ Grazing-induced crises in hybrid dynamical systems ⋮ Non-autonomous grazing phenomenon ⋮ Bifurcation analysis on a hybrid systems model of intermittent hormonal therapy for prostate cancer ⋮ Walking dynamics of the passive compass-gait model under OGY-based control: emergence of bifurcations and chaos ⋮ On two-parameter bifurcation analysis of switched system composed of Duffing and van der Pol oscillators ⋮ Bifurcation phenomena in two-dimensional piecewise smooth discontinuous maps

Uses Software

• SlideCont

Cites Work

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