One-dimensional maps with two discontinuity points and three linear branches: mathematical lessons for understanding the dynamics of financial markets

DOI10.1007/s10203-013-0145-yzbMath1302.91199OpenAlexW1979803022MaRDI QIDQ742458

Laura Gardini, Fabio Tramontana, Frank H. Westerhoff

Publication date: 18 September 2014

Published in: Decisions in Economics and Finance (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10203-013-0145-y

zbMATH Keywords

financial crisesborder collision bifurcationsadding schemebull and bear dynamicsdiscontinuous piecewise linear maps

Mathematics Subject Classification ID

Financial applications of other theories (91G80) Dynamical systems in optimization and economics (37N40) Economic dynamics (91B55)

Related Items (11)

Period adding structure in a 2D discontinuous model of economic growth ⋮ A financial market model with two discontinuities: Bifurcation structures in the chaotic domain ⋮ The inherent law of the unpredictability of financial asset price fluctuations: multistability and chaos ⋮ Bifurcation, chaos and multi-stability regions in an asset pricing model with three subsystems ⋮ On the price dynamics of a two-dimensional financial market model with entry levels ⋮ Poverty trap, boom and bust periods and growth. A nonlinear model for non-developed and developing countries ⋮ BCB Curves and Contact Bifurcations in Piecewise Linear Discontinuous Map Arising in a Financial Market ⋮ Symmetry breaking in a bull and bear financial market model ⋮ The bull and bear market model of Huang and Day: some extensions and new results ⋮ Uncertainty about fundamental, pessimistic and overconfident traders: a piecewise-linear maps approach ⋮ Bifurcations and Chaos for 2D Discontinuous Dynamical Model of Financial Markets

Cites Work

• Financial crises and interacting heterogeneous agents
• The emergence of bull and bear dynamics in a nonlinear model of interacting markets
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• The bull and bear market model of Huang and Day: some extensions and new results
• A simple financial market model with chartists and fundamentalists: market entry levels and discontinuities
• PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES
• BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV'S APPROACH
• BORDER COLLISION BIFURCATIONS IN 1D PWL MAP WITH ONE DISCONTINUITY AND NEGATIVE JUMP: USE OF THE FIRST RETURN MAP
• One-Dimensional Discontinuous Piecewise-Linear Maps and the Dynamics of Financial Markets
• On multi-parametric bifurcations in a scalar piecewise-linear map
• Multi-parametric bifurcations in a piecewise–linear discontinuous map
• Center Bifurcation for a Two-Dimensional Piecewise Linear Map
• Chaotic Behavior in Piecewise Continuous Difference Equations
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS
• Robust Chaos

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