Boundary intersection crossing bifurcation in the presence of sliding
From MaRDI portal
Publication:1000715
DOI10.1016/j.physd.2008.05.002zbMath1166.37020OpenAlexW2165175255MaRDI QIDQ1000715
Publication date: 10 February 2009
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2008.05.002
Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Periodic orbits of vector fields and flows (37C27) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)
Related Items (4)
Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form ⋮ Bifurcations and chaos produced by the modulation signal in a PWM buck converter ⋮ Necessary and Sufficient Conditions for the Noninvertibility of Fundamental Solution Matrices of a Discontinuous System ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$
Cites Work
- Bifurcations of equilibria in non-smooth continuous systems
- Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- On the structure of C-bifurcation boundaries of piecewise continuous systems
- On the generation of sets of subharmonic modes in a piecewise-continuous system
- Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
- Piecewise-smooth dynamical systems. Theory and applications
- Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
- On the stability of periodic motions
- Stick-slip vibrations and chaos
- TWO-PARAMETER DISCONTINUITY-INDUCED BIFURCATIONS OF LIMIT CYCLES: CLASSIFICATION AND OPEN PROBLEMS
- Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter
- BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
- One-Parameter Bifurcations in Planar Filippov Systems
- SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
- TWO-DIMENSIONAL BIFURCATION DIAGRAMS: BACKGROUND PATTERN OF FUNDAMENTAL DC–DC CONVERTERS WITH PWM CONTROL
- Robust chaos and border-collision bifurcations in non-invertible piecewise-linear maps
- Differential equations with discontinuous right-hand side
- Corner collision implies border-collision bifurcation
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Boundary intersection crossing bifurcation in the presence of sliding
