Chaos prediction and control of Goodwin's nonlinear accelerator model

DOI10.1016/j.nonrwa.2010.12.011zbMath1228.34094OpenAlexW1980369446MaRDI QIDQ546144

Jinqian Feng, Jiaorui Li, Qian Li, Shuang Li

Publication date: 24 June 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.12.011

zbMATH Keywords

noisecontrolchaosLyapunov exponentsPoincaré sectionphase portraitGoddwin's modelMelnikov

Mathematics Subject Classification ID

Chaos control for problems involving ordinary differential equations (34H10)

Related Items

Complex interplay between monetary and fiscal policies in a real economy model, Confidence Domains in the Analysis of Noise-Induced Transition to Chaos for Goodwin Model of Business Cycles, Chaos analysis and control of relative rotation system with Mathieu-Duffing oscillator, Dynamics of a multiplier-accelerator model with nonlinear investment function, On growth cycles in a stochastic post-Keynesian model, Stochastic chaos induced by diffusion processes with identical spectral density but different probability density functions, Effect of the policy and consumption delay on the amplitude and length of business cycle, On a business cycle model with fractional derivative under narrow-band random excitation, Chaos and Chaos Control of the Frenkel–Kontorova Model with Dichotomous Noise

Uses Software

• Dynamics

Cites Work

• Unnamed Item
• The business cycle model with a unique stable limit cycle
• Stability and Hopf bifurcations in a business cycle model with delay
• Complex economic dynamics: Chaotic saddle, crisis and intermittency
• Influences of time delay and noise on the chaotic motion of a bistable system
• Determining Lyapunov exponents from a time series
• Goodwin's nonlinear accelerator and chaotic motion
• Global bifurcations and chaos. Analytical methods
• Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2 DOS Diskette.
• Chaotic attractors, chaotic saddles, and fractal basin boundaries: Goodwin's nonlinear accelerator model reconsidered
• Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
• Note on Goodwin's 1951 nonlinear accelerator model with an investment delay
• Noise-induced chaos and basin erosion in softening Duffing oscillator
• Chaos in Dynamical Systems
• The Nonlinear Accelerator and the Persistence of Business Cycles