Analysis of discontinuous bifurcations in nonsmooth dynamical systems

DOI10.1134/S1560354712030069zbMath1262.37023OpenAlexW2107094468MaRDI QIDQ691239

Alexander P. Ivanov

Publication date: 30 November 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354712030069

zbMATH Keywords

discontinuous bifurcationsnonsmooth dynamical systemsoscillators with dry friction

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (4)

On the variational formulation of the dynamics of systems with friction ⋮ Contact Impact Forces at Discontinuous 2-DOF Vibroimpact ⋮ Displayed phenomena in the semi-passive torso-driven biped model under OGY-based control method: birth of a torus bifurcation ⋮ Sliding Dynamics and Bifurcations in the Extended Nonsmooth Filippov Ecosystem

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
• Piecewise-smooth dynamical systems. Theory and applications
• Solving Ordinary Differential Equations I
• Bifurcations in Nonsmooth Dynamical Systems
• Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems

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