NONSMOOTH AND SMOOTH BIFURCATIONS IN A DISCONTINUOUS PIECEWISE MAP
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Publication:4908734
DOI10.1142/S021812741250112XzbMath1258.37043MaRDI QIDQ4908734
Jichen Yang, Yuejing Zhao, Zhiying Qin
Publication date: 6 March 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (6)
Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: divergence and bounded dynamics ⋮ Border collision and fold bifurcations in a family of one-dimensional discontinuous piecewise smooth maps: unbounded chaotic sets ⋮ Cascades of alternating smooth bifurcations and border collision bifurcations with singularity in a family of discontinuous linear-power maps ⋮ Robust unbounded chaotic attractors in 1D discontinuous maps ⋮ Bifurcation Structures in a Family of 1D Discontinuous Linear-Hyperbolic Invertible Maps ⋮ Local and global bifurcations in 3D piecewise smooth discontinuous maps
Cites Work
- Border-collision bifurcations including ``period two to period three for piecewise smooth systems
- On the origin and bifurcations of stick-slip oscillations
- Dynamics of a piecewise smooth map with singularity
- Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
- Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
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