Bifurcation Analysis and Chaos Switchover Phenomenon in a Nonlinear Financial System with Delay Feedback

DOI10.1142/S0218127415501655zbMath1328.34082MaRDI QIDQ3462291

Yuting Ding, Jun Cao

Publication date: 5 January 2016

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

zbMATH Keywords

Hopf bifurcationnormal formdouble Hopf bifurcationchaos switchoverdelayed nonlinear financial system

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Financial applications of other theories (91G80) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (4)

Hopf bifurcation and dynamic analysis of an improved financial system with two delays ⋮ \(PD^\vartheta\) control strategy for a fractional-order chaotic financial model ⋮ Hopf bifurcation, positively invariant set, and physical realization of a new four-dimensional hyperchaotic financial system ⋮ Hopf bifurcation and chaos control for a Leslie-Gower type generalist predator model

Uses Software

• Matlab

Cites Work

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• Hopf bifurcation and topological horseshoe of a novel finance chaotic system
• Hopf bifurcation and chaos of financial system on condition of specific combination of parameters
• Synchronization of a chaotic finance system
• Delayed feedback on the dynamical model of a financial system
• Hopf-transcritical bifurcation in retarded functional differential equations
• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• Dynamics and control of a financial system with time-delayed feedbacks
• Complex economic dynamics: Chaotic saddle, crisis and intermittency
• Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Study on the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system. II.
• Chaotic attractors, chaotic saddles, and fractal basin boundaries: Goodwin's nonlinear accelerator model reconsidered
• Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Hopf-pitchfork bifurcation and periodic phenomena in nonlinear financial system with delay
• Two-parameter bifurcations in a network of two neurons with multiple delays
• Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control
• A dynamic IS-LM model with delayed taxation revenues
• DOUBLE HOPF BIFURCATION IN DELAYED VAN DER POL–DUFFING EQUATION
• DOUBLE-HOPF BIFURCATION IN AN OSCILLATOR WITH EXTERNAL FORCING AND TIME-DELAYED FEEDBACK CONTROL

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