Oscillation and chaos in physiological control systems. (English) Zbl 1383.92036

Summary: First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of dynamical behavior including limit cycle oscillations, with a variety of wave forms, and apparently aperiodic or “chaotic” solutions. These results are discussed in relation to dynamical respiratory and hematopoietic diseases.


92C50 Medical applications (general)
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37N25 Dynamical systems in biology
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