On the global dynamics of a finance model

DOI10.1016/j.chaos.2017.10.026zbMath1392.34029OpenAlexW2770971240MaRDI QIDQ722906

Claudia Valls, Jaume Llibre

Publication date: 30 July 2018

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

Full work available at URL: http://ddd.uab.cat/record/182540

zbMATH Keywords

global dynamicsPoincaré compactificationDarboux invariantfinance model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Microeconomic theory (price theory and economic markets) (91B24) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (3)

Dynamics of the Shapovalov mid-size firm model ⋮ Chaos in integer order and fractional order financial systems and their synchronization ⋮ Phase portraits of continuous piecewise linear Liénard differential systems with three zones

Cites Work

• Solution of fractional integro-differential equations by using fractional differential transform method
• A fractional state space realization method with block pulse basis
• Numerical methods for fourth-order fractional integro-differential equations
• A new set of orthogonal functions and its application to the analysis of dynamic systems
• National economies in state-space of fractional-order financial system
• Qualitative theory of planar differential systems

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