Dynamics of fractional-order chaotic Rocard relaxation econometric system

DOI10.1142/s0218127422501954zbMATH Open1544.37104MaRDI QIDQ6537519

Zhao Yao, Kehui Sun, Shaobo He

Publication date: 14 May 2024

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

zbMATH Keywords

stability analysisbifurcationfractional calculusLyapunov exponentRocard system

Mathematics Subject Classification ID

Economic growth models (91B62) Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in optimization and economics (37N40) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• On the nonexistence of non-constant exact periodic solutions in a class of the Caputo fractional-order dynamical systems
• Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
• Chaos control in an economic model via minimum entropy strategy
• Dynamic analysis of a fractional-order Lorenz chaotic system
• On the existence of periodic solutions in time-invariant fractional order systems
• A note on the fractional-order Chen system
• Limitations of frequency domain approximation for detecting chaos in fractional order systems
• A proof for non existence of periodic solutions in time invariant fractional order systems
• A note on fractional-order derivatives of periodic functions
• The dynamics of monopoly.
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Chaos, Hopf bifurcation and control of a fractional-order delay financial system
• Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents
• An equation for continuous chaos
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• NEW 3D-SCROLL ATTRACTORS IN HYPERCHAOTIC CHUA'S CIRCUITS FORMING A RING
• GENERALIZED SYNCHRONIZATION AND PARAMETERS IDENTIFICATION OF DIFFERENT-DIMENSIONAL CHAOTIC SYSTEMS IN THE COMPLEX FIELD
• Transition to Chaos in Five-Dimensional Porous-Medium Thermal-Hydrodynamic Model with Low Prandtl Number
• Rocard’s 1941 Chaotic Relaxation Econometric Oscillator
• Application of the 0-1 Test for Chaos to Experimental Data
• Law of Conservation of the Capital-Output Ratio

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