LIOUVILLIAN INTEGRABILITY OF A DETERMINISTIC BUSINESS CYCLE MODEL

DOI10.1142/S0219530513500322zbMath1290.34005OpenAlexW1991547428MaRDI QIDQ2867063

Claudia Valls

Publication date: 10 December 2013

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530513500322

zbMATH Keywords

Liouvillian first integralDarboux polynomialexponential factordeterministic business model

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Liouvillian integrability of the FitzHugh-Nagumo systems
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Chaos in business cycles
• A business cycle model with cubic nonlinearity
• Liouvillian integration of the Lotka-Volterra system
• Rational integration of the Lotka-Volterra system
• Liouvillian first integrals of quadratic-linear polynomial differential systems
• Liouvillian first integrals for the planar Lotka-Volterra system
• On the local analytic integrability at the singular point of a class of Liénard analytic differential systems
• Global analytic first integrals for the real planar Lotka-Volterra system
• Liouvillian First Integrals of Differential Equations
• On the polynomial first integrals of the (a,b,c) Lotka–Volterra system
• Liouvillian first integrals for Liénard polynomial differential systems
• Global Analytic First Integrals for the Simplified Multistrain/Two-Stream Model for Tuberculosis and Dengue Fever

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