Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model

DOI10.1142/S021812741850150XzbMath1404.34056OpenAlexW2900934891WikidataQ128920557 ScholiaQ128920557MaRDI QIDQ4560147

Jaume Llibre, Claudia Valls, Murilo R. Cândido

Publication date: 5 December 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741850150x

zbMATH Keywords

Hopf bifurcationLyapunov constantDarboux integrabilityaveraging theoryinvariant algebraic surface

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Actuarial science and mathematical finance (91G99)

Related Items

On a simple model for describing convection of the rotating fluid: integrability, bifurcations and global dynamics, Dynamical Analysis on a Finance System with Nonconstant Elasticity of Demand

Cites Work

• Unnamed Item
• Unnamed Item
• Invariant algebraic surfaces for a virus dynamics
• Solution of fractional integro-differential equations by using fractional differential transform method
• A fractional state space realization method with block pulse basis
• Invariant algebraic surfaces for generalized Raychaudhuri equations
• 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
• GLOBAL DYNAMICS IN THE POINCARÉ BALL OF THE CHEN SYSTEM HAVING INVARIANT ALGEBRAIC SURFACES
• Invariant algebraic surfaces for the reduced three-wave interaction system
• GLOBAL DYNAMICS OF THE LORENZ SYSTEM WITH INVARIANT ALGEBRAIC SURFACES
• Boundedness, invariant algebraic surfaces and global dynamics for a spectral model of large-scale atmospheric circulation
• Darboux integrability and algebraic invariant surfaces for the Rikitake system
• On the invariant hyperplanes ford-dimensional polynomial vector fields
• Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems
• Invariant algebraic surfaces of the Lorenz system
• Normal Forms for Polynomial Differential Systems in ℝ³ Having an Invariant Quadric and a Darboux Invariant
• The topological structure of the Rabinovich system having an invariant algebraic surface
• Averaging methods in nonlinear dynamical systems