Period-adding and the Farey tree structure in a class of one-dimensional discontinuous nonlinear maps
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Publication:333169
DOI10.1007/s11071-016-2640-5zbMath1355.37060OpenAlexW2265249975MaRDI QIDQ333169
Publication date: 9 November 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-016-2640-5
Bifurcations of singular points in dynamical systems (37G10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)
Cites Work
- Unnamed Item
- Synchronizability of coupled PWL maps
- Border collision bifurcations in one-dimensional linear-hyperbolic maps
- Bifurcation and chaos in discontinuous and continuous systems
- Dynamics and bifurcations of non-smooth mechanical systems
- Nonsmooth bifurcations of equilibria in planar continuous systems
- Border collision bifurcations in discontinuous one-dimensional linear-hyperbolic maps
- On the existence of low-period orbits in \(n\)-dimensional piecewise linear discontinuous maps
- Bifurcations of equilibria in non-smooth continuous systems
- Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves
- Bifurcation curves in discontinuous maps
- Fixed point properties of semigroups of nonexpansive mappings
- Small-scale instabilities in dynamical systems with sliding
- Vibro-impact dynamics. Modeling, mapping and applications
- Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
- Border-collision bifurcations including ``period two to period three for piecewise smooth systems
- \(C\)-bifurcations and period-adding in one-dimensional piecewise-smooth maps
- On the scaling properties of the period-increment scenario in dynamical systems
- Non-smooth dynamical systems
- Nonstandard bifurcations in oscillators with multiple discontinuity boundaries
- On the origin and bifurcations of stick-slip oscillations
- Bifurcation analysis of an impact oscillator with a one-sided elastic constraint near grazing
- Piecewise-smooth dynamical systems. Theory and applications
- Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps
- Singularities in soft-impacting systems
- Analysis of a two-dimensional nonsmooth Poincaré-like map
- Continuous and discontinuous grazing bifurcations in impacting oscillators
- Analysis of grazing bifurcations of quasiperiodic system attractors
- PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES
- Discontinuity-induced bifurcations of piecewise smooth dynamical systems
- Dynamics of an impact oscillator near a degenerate graze
- The dynamics of a simplified pinball machine
- Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form
- Influence of a square-root singularity on the behaviour of piecewise smooth maps
- Multi-parametric bifurcations in a piecewise–linear discontinuous map
- BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
- Bifurcation Structures in a Bimodal Piecewise Linear Map: Chaotic Dynamics
- BIFURCATION STRUCTURES IN A BIMODAL PIECEWISE LINEAR MAP: REGULAR DYNAMICS
- Dynamics of a piecewise linear map with a gap
- PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP
- Bifurcations in nonlinear discontinuous systems
- Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
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