A dynamic IS-LM model with delayed taxation revenues

Cesare, L. De; Sportelli, Mario

doi:10.1016/j.chaos.2004.11.044

Cited by 112 publications

(70 citation statements)

References 31 publications

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“…Here, we use the term "Hopf" just to highlight the fact that a fixed point looses stability as the eigenvalues of the Jacobian at the fixed point cross the imaginary axis of the complex plain). De Cesare and Sportelli [13], Neamtu et al [14], Zhou and Li [15], and Sportelli et al [16] provide an interesting study on how limit cycles generated by Hopf bifurcations may arise in inflation models when there exists a finite lag between the accrual and payment of taxes, which implies a qualitative study of delay differential equations.…”

Section: Introductionmentioning

confidence: 99%

Bridging the Gap between Economic Modelling and Simulation: A Simple Dynamic Aggregate Demand-Aggregate Supply Model with Matlab

Gaspar

2018

Journal of Applied Mathematics

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This paper aims to connect the bridge between analytical results and the use of the computer for numerical simulations in economics. We address the analytical properties of a simple dynamic aggregate demand and aggregate supply (AD-AS) model and solve it numerically. The model undergoes a bifurcation as its steady state smoothly interchanges stability depending on the relationship between the impact of real interest rate on demand for liquidity and how fast agents revise their expectations on inflation. Using code embedded into a unique function in Matlab, we plot the numerical solutions of the model and simulate different dynamic adjustments using different parameter values. The same function also accommodates the analysis of the impacts of fiscal and monetary policy and supply side shocks on the steady state and the transition dynamics of the model.

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Section: Introductionmentioning

confidence: 99%

Bridging the Gap between Economic Modelling and Simulation: A Simple Dynamic Aggregate Demand-Aggregate Supply Model with Matlab

Gaspar

2018

Journal of Applied Mathematics

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“…In recent years, study on chaos is one of the most interesting research topics in real and physical systems [1][2][3][4]. In 1985, chaotic behavior was discovered in financial systems [5].…”

Section: Introductionmentioning

confidence: 99%

Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

Yang

Cao

2017

Discrete Dynamics in Nature and Society

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This paper investigates the modified function projective synchronization between fractional-order chaotic systems, which are partially linear financial systems with uncertain parameters. Based on the stability theory of fractional-order systems and the Lyapunov matrix equation, a controller is obtained for the synchronization between fractional-order financial chaotic systems. Using the controller, the error systems converged to zero as time tends to infinity, and the uncertain parameters were also estimated so that the phenomenon of parameter distortion was effectively avoided. Numerical simulations demonstrate the validity and feasibility of the proposed method.

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“…The features of economic data were presented in view of the dynamical behaviors of systems. Many nonlinear continuous models have been introduced to study complex economic dynamics, such as the IS-LM model [2], Goodwin's accelerate model [3], the forced Vander-Pol model [4], and Behrens-Feichtinger model [5]. And the same as the other systems in world, financial system, as a nonlinear system, displays many complex dynamical behaviors, such as depending on initial value sensitivity, the complex phase portraits, positive Lyapunov exponents, and fractal properties.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of Time Delayed Fractional Order Chaotic Financial System

Zhang

Cao

Alsaedi

et al. 2017

Discrete Dynamics in Nature and Society

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The research on a time delayed fractional order financial chaotic system is a hot issue. In this paper, synchronization of time delayed fractional order financial chaotic system is studied. Based on comparison principle of linear fractional equation with delay, by using a fractional order inequality, a sufficient condition is obtained to guarantee the synchronization of master-slave systems. An example is exploited to show the feasibility of the theoretical results.

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A dynamic IS-LM model with delayed taxation revenues

Cited by 112 publications

References 31 publications

Bridging the Gap between Economic Modelling and Simulation: A Simple Dynamic Aggregate Demand-Aggregate Supply Model with Matlab

Bridging the Gap between Economic Modelling and Simulation: A Simple Dynamic Aggregate Demand-Aggregate Supply Model with Matlab

Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

Synchronization of Time Delayed Fractional Order Chaotic Financial System

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