Time delays, oscillations, and chaos in physiological control systems

DOI10.1016/0025-5564(88)90060-0zbMath0649.92008OpenAlexW1981626449MaRDI QIDQ1106128

David Larocque, Anne Beuter, Leon Glass

Publication date: 1988

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(88)90060-0

zbMATH Keywords

chaotic dynamicstime delaysfeedback loopsphysiological systemsinteraction of multiple feedback loopsphysiological response

Mathematics Subject Classification ID

Physiology (general) (92C30)

Related Items (15)

An overview of bifurcation, chaos and nonlinear dynamics in control systems ⋮ The dynamics of some discrete population models ⋮ Analyzing Oscillatory Behavior with Formal Methods ⋮ Existence and multiplicity of periodic solutions for a generalized hematopoiesis model ⋮ Reduced dynamics for delayed systems with harmonic or stochastic forcing ⋮ Time delay in physiological systems: analyzing and modeling its impact ⋮ The effect of integral control in oscillatory and chaotic reaction kinetic networks ⋮ Stable steady state of some population models ⋮ Dynamics of sleep/wake determination—Normal and abnormal ⋮ Oscillatory modes in a nonlinear second-order differential equation with delay ⋮ Delays and Oscillations in Networks of Spiking Neurons: A Two-Timescale Analysis ⋮ Instabilities in threshold-diffusion equations with delay ⋮ Ergodicity Analysis and Antithetic Integral Control of a Class of Stochastic Reaction Networks with Delays ⋮ A model of the dynamics of intramolluscan trematode populations: some problems concerning oscillatory behavior ⋮ Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays

Cites Work

• The dynamics of production and destruction: Analytic insight into complex behavior
• Periodic auto-immune hemolytic anemia: An induced dynamical disease
• Chaotic attractors of an infinite-dimensional dynamical system
• Measuring the strangeness of strange attractors
• Statistical description of chaotic attractors: the dimension function
• Oscillation and Chaos in Physiological Control Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Time delays, oscillations, and chaos in physiological control systems