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Full-Text Articles in Life Sciences
Complex Dynamics And Multistability In A Damped Harmonic Oscillator With Delayed Negative Feedback, Sue Ann Campbell, Jacques Bélair, Toru Ohira, John Milton
Complex Dynamics And Multistability In A Damped Harmonic Oscillator With Delayed Negative Feedback, Sue Ann Campbell, Jacques Bélair, Toru Ohira, John Milton
WM Keck Science Faculty Papers
A center manifold reduction and numerical calculations are used to demonstrate the presence of limit cycles, two-tori, and multistability in the damped harmonic oscillator with delayed negative feedback. This model is the prototype of a mechanical system operating with delayed feedback. Complex dynamics are thus seen to arise in very plausible and commonly occurring mechanical and neuromechanical feedback systems.
Dynamic Diseases In Neurology And Psychiatry, John Milton, Deborah Black
Dynamic Diseases In Neurology And Psychiatry, John Milton, Deborah Black
WM Keck Science Faculty Papers
Thirty-two (32) periodic diseases of the nervous system are identified in which symptoms and/or signs recur. In 10/32, the recurrence of a symptom complex is one of the defining features of the illness, whereas in 22/32 oscillatory signs occur in the setting of an ongoing nervous system disorder. We discuss the possibility that these disorders may be dynamic diseases.
Dynamical Disease: Identification, Temporal Aspects And Treatment Strategies For Human Illness, Jacques Bélair, Leon Glass, Uwe An Der Heiden, John Milton
Dynamical Disease: Identification, Temporal Aspects And Treatment Strategies For Human Illness, Jacques Bélair, Leon Glass, Uwe An Der Heiden, John Milton
WM Keck Science Faculty Papers
Dynamical diseases are characterized by sudden changes in the qualitative dynamics of physiological processes, leading to abnormal dynamics and disease. Thus, there is a natural matching between the mathematical field of nonlinear dynamics and medicine. This paper summarizes advances in the study of dynamical disease with emphasis on a NATO Advanced Research Workshop held in Mont Tremblant, Quebec, Canada in February 1994. We describe the international effort currently underway to identify dynamical diseases and to study these diseases from a perspective of nonlinear dynamics. Linear and nonlinear time series analysis combined with analysis of bifurcations in dynamics are being used …