Qualitative study of a second order difference equation
Messaoud Berkal, JUAN FRANCISCO NAVARRO
Abstract
In this paper, we study a second order rational difference equation. We analyze the stability of the unique positive equilibrium of the equation and prove the existence of a Neimark-Sacker bifurcation, validating our theoretical analysis via a numerical exploration of the system.
Topics & Concepts
MathematicsBifurcationOrder (exchange)Stability (learning theory)Matrix difference equationApplied mathematicsMathematical analysisDifferential equationRiccati equationNonlinear systemComputer scienceFinanceMachine learningQuantum mechanicsPhysicsEconomicsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Differential Equations and Dynamical SystemsNonlinear Differential Equations Analysis