Stability and direction of Hopf bifurcations of a cyclical growth model with two-time delays and one-delay dependent coefficients

DOI10.1016/j.chaos.2020.110125zbMath1495.91069OpenAlexW3044796091MaRDI QIDQ2123601

Mario C. Sportelli, Luigi De Cesare

Publication date: 14 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110125

zbMATH Keywords

limit cycleHopf bifurcationgrowth cycle

Mathematics Subject Classification ID

Economic growth models (91B62) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18)

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Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
• A detailed study of the Beddington-DeAngelis predator-prey model
• Hopf bifurcations of a ratio-dependent predator-prey model involving two discrete maturation time delays
• Dynamics of a delayed business cycle model with general investment function
• Stability and Hopf bifurcation analysis of a prey-predator system with two delays
• Theory of functional differential equations. 2nd ed
• Persistence and stability of a stage-structured predator-prey model with time delays.
• Time to build in dynamics of economic models. II: Models of economic growth
• Time-to-build in dynamics of economic models. I: Kalecki's model
• Stability analysis for a time-delayed nonlinear predator-prey model
• Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters
• Bifurcation analysis for the Kaldor-Kalecki model with two delays
• Nonlinear oscillations in business cycle model with time lags
• A Kolmogoroff generalized predator-prey model of Goodwin's growth cycle
• On local bifurcations in neural field models with transmission delays
• Time-to-build and cycles
• Stability and Hopf bifurcation of controlled complex networks model with two delays
• Fiscal policy delays and the classical growth cycle
• Spatial dynamics of an epidemic model with nonlocal infection
• Stability and Hopf bifurcation of a within-host Chikungunya virus infection model with two delays
• A generalized business cycle model with delays in gross product and capital stock
• A generalized dynamic IS-LM model with delayed time in investment processes
• On stability crossing curves for general systems with two delays
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Predator-prey and neo-classical models of cyclical growth
• Some stability properties of Goodwin's growth cycle a critical elaboration
• Time to Build and Aggregate Fluctuations
• Fiscal policy and the classical growth cycle
• A numerical method for solutions of Lotka–Volterra predator–prey model with time-delay
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Elements of applied bifurcation theory

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