Modelling autonomous oscillations in the human pupil light reflex using nonlinear delay-differential equations
From MaRDI portal
Publication:1121820
DOI10.1007/BF02459969zbMath0674.92005WikidataQ43653849 ScholiaQ43653849MaRDI QIDQ1121820
Publication date: 1989
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
stable fixed pointpupil light reflexnegative feedbacksupercritical Hopf bifurcationnonlinear delay-differential equationedge-light pupil cyclingstable limit cycle oscillation
Related Items
Boundary layer phenomena for differential-delay equations with state-dependent time lags: III., Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback, ALMOST SURE ASYMPTOTIC STABILITY OF SCALAR STOCHASTIC DELAY EQUATIONS: FINITE STATE MARKOV PROCESS, Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback, Multiple positive periodic solutions for a class of nonlinear functional differential equations, Existence of multiple positive periodic solutions for differential equation with state-dependent delays, Dynamics of Deterministic and Stochastic Paired Excitatory—Inhibitory Delayed Feedback, Quantization improves stabilization of dynamical systems with delayed feedback, A nonlinear delay model for metabolic oscillations in yeast cells, Conditions for stabilizability of time‐delay systems with real‐rooted plant, A parameter-uniform numerical scheme for solving singularly perturbed parabolic reaction-diffusion problems with delay in the spatial variable, Quasi‐periodic traveling waves for a class of damped beams on rectangular tori, Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations, Versal unfoldings for linear retarded functional differential equations., Metastable periodic patterns in singularly perturbed state-dependent delayed equations, Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation, Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback, Boundary layer phenomena for differential-delay equations with state- dependent time lags. I, Quasi-periodic self-excited travelling waves for damped beam equations, Convergence of solutions for an equation with state-dependent delay, Periodic solutions of delay-differential equations with a restorative condition, Toroidal normal forms for bifurcations in retarded functional differential equations. I: Multiple Hopf and transcritical/multiple Hopf interaction, Modified method of simplest equation and its application to nonlinear PDEs, Oscillatory modes in a nonlinear second-order differential equation with delay, Positive periodic solutions of a class of non-autonomous single species population models with delays and feedback control, Chaos proved for a second-order difference differential equation, A degenerate Hopf bifurcation in retarded functional differential equations, and applications to endemic bubbles, An efficient numerical method for coupled systems of singularly perturbed parabolic delay problems, Quasi-periodic travelling waves for beam equations with damping on 3-dimensional rectangular tori
Cites Work
- Unnamed Item
- Unnamed Item
- The dynamics of production and destruction: Analytic insight into complex behavior
- Periodic auto-immune hemolytic anemia: An induced dynamical disease
- The dynamics of recurrent inhibition
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Hopf bifurcation calculations for functional differential equations
- Insight into the transfer function, gain, and oscillation onset for the pupil light reflex using nonlinear delay-differential equations
- A simulation model of the human pupil light reflex
- Chaos in neurobiology
- Oscillation and Chaos in Physiological Control Systems
- Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
