Circadian Rhythms. 안용열 (물리학과). Index. Intro - What is the circadian rhythm? Mechanism in reality How can we understand it? Nonlinear dynamics Limit cycle Linearization and stability Stochastic resonance Coupled nonlinear oscillators Summary - What have we learned?.
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‘About-a-day-period behavioral rhythm’
A trap!-Two short period oscillator model
long period is extremely sensitive to changes in the short period.
aging, female endocrine cycle, replacement of membrane phospholipids
Find “Geometry” of phase space
reduction of number of variables
There exist limit cycles
pick up two slowest variable : R, C
stability analysis of fixed point and application of poincare-bendixon theorem
- pendulum clock
2nd edition published in 2001