Codimension-two border collision bifurcation in a two-class growth model with optimal saving and switch in behavior

DOI10.1007/s11071-020-05782-5zbMath1517.34053OpenAlexW3042831806MaRDI QIDQ6132331

Ingrid Kubin, Iryna Sushko, Pasquale Commendatore

Publication date: 16 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05782-5

zbMATH Keywords

border collision bifurcationpiecewise smooth discontinuous mapperiod adding bifurcation structuretwo-class growth model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Cites Work

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• Period adding structure in a 2D discontinuous model of economic growth
• Nonlinear dynamics in a business-cycle model with logistic population growth
• On the existence of low-period orbits in \(n\)-dimensional piecewise linear discontinuous maps
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Substitutability between production factors and growth. An analysis using VES production functions.
• Local and global dynamics in a discrete time growth model with nonconcave production function
• Differential savings, factor shares, and endogenous growth cycles
• Piecewise-smooth dynamical systems. Theory and applications
• Variable elasticity of substituition in a discrete time Solow-Swan growth model with differential saving
• Corner bifurcations in nonsmoothly forced impact oscillators
• Modeling of spiking-bursting neural behavior using two-dimensional map
• Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps
• CALCULATION OF BIFURCATION CURVES BY MAP REPLACEMENT
• Bifurcations and Chaos for 2D Discontinuous Dynamical Model of Financial Markets
• Embedding of a Dim1 Piecewise Continuous and Linear Leonov Map into a Dim2 Invertible Map
• Chaotic Behavior in Piecewise Continuous Difference Equations
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• 2D discontinuous piecewise linear map: Emergence of fashion cycles
• Wealth Inequality and Intergenerational Links
• Global aspects of homoclinic bifurcations of vector fields
• Bifurcation structure in the skew tent map and its application as a border collision normal form
• Bifurcation phenomena in two-dimensional piecewise smooth discontinuous maps
• Local and Global Dynamics in a Neoclassical Growth Model with Nonconcave Production Function and Nonconstant Population Growth Rate
• Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps
• Complex Dynamics in the Neoclassical Growth Model with Differential Savings and Non-Constant Labor Force Growth

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