BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
From MaRDI portal
Publication:4655533
DOI10.1142/S0218127403008533zbMath1057.37050MaRDI QIDQ4655533
Publication date: 8 March 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Computing methodologies and applications (68U99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05)
Related Items (37)
Chaotifying 2-D piecewise-linear maps via a piecewise-linear controller function ⋮ Breaking the continuity of a piecewise linear map ⋮ On the existence of low-period orbits in \(n\)-dimensional piecewise linear discontinuous maps ⋮ BIFURCATION ANALYSIS OF AN IMPACT MODEL FOR FOREST FIRE PREDICTION ⋮ Quasiperiodicity and torus breakdown in a power electronic dc/dc converter ⋮ Synchronizability of coupled PWL maps ⋮ Bifurcations and chaos produced by the modulation signal in a PWM buck converter ⋮ Updating wealth in an asset pricing model with heterogeneous agents ⋮ Analysis of stable periodic orbits in the one dimensional linear piecewise-smooth discontinuous map ⋮ Nondeterministic basin of attraction ⋮ Synchronized states and multistability in a random network of coupled discontinuous maps ⋮ Analysis of unstable periodic orbits and chaotic orbits in the one-dimensional linear piecewise-smooth discontinuous map ⋮ Effect of stochastically moving border on basins of attraction in a class of piecewise smooth maps ⋮ Analysis of atypical orbits in one-dimensional piecewise-linear discontinuous maps ⋮ Existence of \(n\)-cycles and border-collision bifurcations in piecewise-linear continuous maps with applications to recurrent neural networks ⋮ The hidden unstable orbits of maps with gaps ⋮ Bifurcations of non-smooth systems ⋮ On the price dynamics of a two-dimensional financial market model with entry levels ⋮ Bifurcation analysis of dynamic pricing processes with nonlinear external reference effects ⋮ Coexistence of the bandcount-adding and bandcount-increment scenarios ⋮ BCB Curves and Contact Bifurcations in Piecewise Linear Discontinuous Map Arising in a Financial Market ⋮ Robust chaos in piecewise nonsmooth map of the plane ⋮ Dynamics of a piecewise smooth map with singularity ⋮ Dynamics of a piecewise linear map with a gap ⋮ On detection of multi-band chaotic attractors ⋮ Corner bifurcations in nonsmoothly forced impact oscillators ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Technical Note—Dynamic Pricing with Gain-Seeking Reference Price Effects ⋮ A Study of the Dynamics of a New Piecewise Smooth Map ⋮ Dynamics of a discontinuous discrete Beverton–Holt model ⋮ Local and global bifurcations in 3D piecewise smooth discontinuous maps ⋮ Periodic Cycles and Bifurcation Curves for One-Dimensional Maps with Two Discontinuities ⋮ ONE-DIMENSIONAL DISCONTINUOUS MAP ANALYSIS OF DC–DC CONVERTERS UNDER VOLTAGE CONTROLLED PULSE SKIPPING MODULATION ⋮ Critical itineraries of maps with constant slope and one discontinuity ⋮ Analysis of Discontinuity Induced Bifurcations in a Dual Input DC-DC Converter ⋮ Bifurcation phenomena in two-dimensional piecewise smooth discontinuous maps ⋮ Bifurcations and Chaos for 2D Discontinuous Dynamical Model of Financial Markets
Cites Work
- Border-collision bifurcations including ``period two to period three for piecewise smooth systems
- Universal behavior of impact oscillators near grazing incidence
- Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
- Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
- Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
- Chattering and related behaviour in impact oscillators
- BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
- Border-collision bifurcations in the buck converter
This page was built for publication: BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
