Discontinuity-induced bifurcations in a piecewise-smooth capsule system with bidirectional drifts

DOI10.1016/j.cnsns.2021.105909zbMath1501.34042OpenAlexW3171610032MaRDI QIDQ2045945

Bingyong Guo, Joseph Páez Chávez, Yang Liu, Caishan Liu

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105909

zbMATH Keywords

semi-analytical methodgrazing bifurcationdiscontinuity-induced bifurcationpiecewise-smooth dynamical systemadding-sliding bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (7)

Optimising the locomotion of a vibro-impact capsule robot self-propelling in the small intestine ⋮ Steady-state dynamics and discontinuity-induced sliding bifurcation of a multi-module piecewise-smooth vibration-driven system with dry friction ⋮ Composite Poincaré mapping of double grazing in non-smooth dynamical systems: bifurcations and insights ⋮ Dynamics of a self-propelled capsule robot in contact with different folds in the small intestine ⋮ Near-grazing bifurcations and deep reinforcement learning control of an impact oscillator with elastic constraints ⋮ Multi-objective optimisation based on reliability analysis of a self-propelled capsule system ⋮ Nonlinear dynamics of new magneto-mechanical oscillator

Uses Software

• SlideCont
• COCO
• TC-HAT

Cites Work

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• TC-HAT ($\widehat{TC}$): A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems
• Recipes for Continuation
• SlideCont: An Auto97 driver for bifurcation analysis of Filippov systems

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