Complex dynamics of a forced discretized version of the Mackey-Glass delay differential equation

DOI10.3934/dcdsb.2015.20.93zbMath1330.37068OpenAlexW2317198255MaRDI QIDQ480031

Ahmed Elhassanein

Publication date: 8 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.93

zbMATH Keywords

chaosbifurcationsphysiological systemsforced Mackey-Glass discrete systemnoise-induced chaos

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (3)

Quantifying Interactions in Nonlinear Feedback Dynamics: A Time Series Analysis ⋮ On mathematical analysis of a discrete electrical lattice with nonlinear dispersion ⋮ On the complex dynamics of functional-coefficients nonlinear autoregressive time series models

Cites Work

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• Nonresonant Hopf-Hopf bifurcation and a chaotic attractor in neutral functional differential equations
• Controlling the Cournot-Nash chaos
• Periodogram analysis with missing observations
• Adaptive high order differential feedback control for affine nonlinear system
• Analysis of decision-making in economic chaos control
• Time series: theory and methods
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• Is it possible to study chaotic and ARCH behaviour jointly? application of a noisy Mackey-Glass equation with heteroskedastic errors to the Paris Stock exchange returns series
• Nonlinear stiffness, Lyapunov exponents, and attractor dimension
• Chaos, fractals and statistics
• On the theory of continuous time series
• Stability switching and Hopf bifurcation in a multiple-delayed neural network with distributed delay
• Intricate routes to chaos in the Mackey-Glass delayed feedback system
• Bifurcations, chaos and synchronization in ADVP circuit with parallel resistor
• Solution multistability in first‐order nonlinear differential delay equations
• Oscillation and Chaos in Physiological Control Systems
• On the complex dynamics of functional-coefficients nonlinear autoregressive time series models
• Multiscale analysis of economic time series by scale-dependent Lyapunov exponent

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