Periodic Cycles and Bifurcation Curves for One-Dimensional Maps with Two Discontinuities

DOI10.1080/1726037X.2009.10698567zbMath1183.37095OpenAlexW2315154991MaRDI QIDQ3656162

Gian-Italo Bischi, Ugo Merlone, Laura Gardini

Publication date: 13 January 2010

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2009.10698567

zbMATH Keywords

piecewise linear mapdiscrete dynamical systemsborder collision bifurcationperiodicity tongues

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in optimization and economics (37N40) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (10)

Dynamics of a 2D Piecewise Linear Braess Paradox Model: Effect of the Third Partition ⋮ Ternary choices in repeated games and border collision bifurcations ⋮ A hard day's night: a dynamical model of artistic career choice ⋮ Complexity analysis of a Cournot-Bertrand duopoly game model with limited information ⋮ Reference group influence on binary choices dynamics ⋮ Dynamics in braess paradox with nonimpulsive commuters ⋮ Border-collision bifurcations in a model of Braess paradox ⋮ Heterogeneous society in binary choices with externalities ⋮ Border collision bifurcations and power spectral density of chaotic signals generated by one-dimensional discontinuous piecewise linear maps ⋮ Impulsivity in binary choices and the emergence of periodicity

Cites Work

• Quasiperiodicity and torus breakdown in a power electronic dc/dc converter
• Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves
• The Hicksian trade cycle with floor and ceiling dependent on capital stock
• Growing through chaotic intervals
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• ``Period three to period two bifurcation for piecewise linear models
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Cycles and chaos in a socialist economy
• Hicks' trade cycle revisited: cycles and bifurcations.
• The Hicksian floor-roof model for two regions linked by interregional trade
• \(C\)-bifurcations and period-adding in one-dimensional piecewise-smooth maps
• Lowpass sigma-delta modulation: an analysis by means of the critical lines tool.
• Tongues of periodicity in a family of two-dimensional discontinuous maps of real Möbius type
• On period-adding sequences of attracting cycles in piecewise linear maps
• Cournot duopoly when the competitors operate multiple production plants
• Piecewise-smooth dynamical systems. Theory and applications
• Bistability and border-collision bifurcations for a family of unimodal piecewise smooth maps
• 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
• On multi-parametric bifurcations in a scalar piecewise-linear map
• Multi-parametric bifurcations in a piecewise–linear discontinuous map
• Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation
• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• CYCLES OF CHAOTIC INTERVALS IN A TIME-DELAYED CHUA'S CIRCUIT
• BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Periodic Cycles and Bifurcation Curves for One-Dimensional Maps with Two Discontinuities