Nonlinear dynamical systems, strange attractors and economic cycles: Towards a chaotic modeling of macroeconomic fluctuations

Nonlinear dynamical systems, strange attractors and economic cycles: Towards a chaotic modeling of macroeconomic fluctuations | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Nonlinear dynamical systems, strange attractors and economic cycles: Towards a chaotic modeling of macroeconomic fluctuations Hugo Spring-Ragain This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7858725/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper examines the role of bifurcations and chaotic dynamics in economic systems, focusing on how nonlinearities shape the long-term behavior of macroeconomic variables. By employing numerical simulations and analytical methods, we analyze the stability and instability regions of the system, characterize phase space trajectories, and estimate Lyapunov exponents to assess the sensitivity to initial conditions. The study further investigates the impact of parameter variations on bifurcation patterns and the emergence of chaotic regimes. The findings provide insights into the transition from stable equilibria to complex, unpredictable dynamics, with significant implications for economic modeling and policy interventions . uncertainty economics stochastic dynamics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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