Journal ArticleDOI
A dynamic IS-LM model with delayed taxation revenues
Luigi De Cesare,Mario Sportelli +1 more
TLDR
In this article, the authors considered the problem of the existence of a finite lag between the accrual and the payment of taxes in a framework where never this type of lag has been considered: the well known IS-LM model.Abstract:
Some recent contributions to Economic Dynamics have shown a new interest for delay differential equations. In line with these approaches, we re-proposed the problem of the existence of a finite lag between the accrual and the payment of taxes in a framework where never this type of lag has been considered: the well known IS-LM model. The qualitative study of the system of functional (delay) differential equations shows that the finite lag may give rise to a wide variety of dynamic behaviours. Specifically, varying the length of the lag and applying the “stability switch criteria”, we prove that the equilibrium point may lose or gain its local stability, so that a sequence of alternated stability/instability regions can be observed if some conditions hold. An important scenario arising from the analysis is the existence of limit cycles generated by sub-critical and supercritical Hopf bifurcations. As numerical simulations confirm, if multiple cycles exist, the so called “crater bifurcation” can also be detected. Economic considerations about a stylized policy analysis stand by qualitative and numerical results in the paper.read more
Citations
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Journal ArticleDOI
Nonlinear dynamics and chaos in a fractional-order financial system
TL;DR: A fractional-order financial system is proposed, a generalization of a dynamic financial model recently reported in the literature, that displays many interesting dynamic behaviors, such as fixed points, periodic motions, and chaotic motions.
Journal ArticleDOI
Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
Zhen Wang,Xia Huang,Guodong Shi +2 more
TL;DR: It is found that an approximate time delay can enhance or suppress the emergence of chaos, and the lowest orders for chaos to exist in the delayed fractional order financial systems are determined, respectively.
Journal ArticleDOI
Control of an uncertain fractional order economic system via adaptive sliding mode
Zhen Wang,Xia Huang,Hao Shen +2 more
TL;DR: This paper addresses the design of sliding mode controller (SMC) for an uncertain chaotic fractional order economic system and an adaptive SMC is designed in the case that the upper bound of the uncertainties is unknown.
Journal ArticleDOI
Analysis, adaptive control and circuit simulation of a novel nonlinear finance system
O. I. Tacha,Ch. K. Volos,Ioannis M. Kyprianidis,Ioannis N. Stouboulos,Sundarapandian Vaidyanathan,Viet-Thanh Pham +5 more
TL;DR: A novel 3-D nonlinear finance chaotic system consisting of two nonlinearities is presented and its dynamical behavior is studied by using the electronic simulation package Cadence OrCAD in order to confirm the feasibility of the theoretical model.
Journal ArticleDOI
Dynamics and control of a financial system with time-delayed feedbacks
TL;DR: The system shows complex dynamics such as periodic, quasi-periodic, and chaotic behaviors and shows that the attractor merging crisis is a fundamental feature of nonlinear financial systems with time-delayed feedbacks.
References
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Book
Theory of Functional Differential Equations
TL;DR: In this paper, Liapunov functional for autonomous systems is used to define the saddle point property near equilibrium and periodic orbits for linear systems, which is a generalization of the notion of stable D operators.
Journal ArticleDOI
Geometric stability switch criteria in delay differential systems with delay dependent parameters
Edoardo Beretta,Yang Kuang +1 more
TL;DR: The main objective of this paper is to provide practical guidelines that combine graphical information with analytical work to effectively study the local stability of some models involving delay dependent parameters.
Posted Content
Effective Demand Failures
TL;DR: In this paper, the authors discuss the relation between the magnitude of the shock or shocks to which the system is exposed and the size of the buffer stocks, particularly of liquid assets, that transactors maintain as critical to whether effective demand failures of major consequence will emerge or not.
Journal ArticleDOI
Effective Demand Failures
TL;DR: In this article, the authors discuss the relation between the magnitude of the shock or shocks to which the system is exposed and the size of the buffer stocks, particularly of liquid assets, that transactors maintain as critical to whether effective demand failures of major consequence will emerge or not.
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