n:m Phase-locking of weakly coupled oscillators
暂无分享,去创建一个
[1] M. L. Cartwright. On non-linear differential equations of the second order , 1949 .
[2] N. Levinson,et al. Small Periodic Pertubations of an Autonomous System with a Stable Orbit , 1950 .
[3] J. E. Littlewood,et al. On non-linear differential equations of the second order: III. The equation $$\ddot y - k(1 - y^2 )\dot y + y = b \mu k cos (\mu t + \alpha )$$ for largek, and its generalizationsfor largek, and its generalizations , 1957 .
[4] G. P. Moore,et al. Pacemaker Neurons: Effects of Regularly Spaced Synaptic Input , 1964, Science.
[5] J. Reid,et al. The cardiac pacemaker: effects of regularly spaced nervous input. , 1969, American heart journal.
[6] Neil Fenichel. Persistence and Smoothness of Invariant Manifolds for Flows , 1971 .
[7] J. Hale,et al. Ordinary Differential Equations , 2019, Fundamentals of Numerical Mathematics for Physicists and Engineers.
[8] J. Grasman,et al. Relaxation Oscillations Governed by a Van der Pol Equation with Periodic Forcing Term , 1976 .
[9] A. Goldbeter,et al. Control of oscillating glycolysis of yeast by stochastic, periodic, and steady source of substrate: a model and experimental study. , 1975, Proceedings of the National Academy of Sciences of the United States of America.
[10] Stein Ps. Application of the mathematics of coupled oscillator systems to the analysis of the neural control of locomotion. , 1977 .
[11] J. Flaherty,et al. Frequency Entrainment of a Forced van der pol Oscillator. , 1977 .
[12] Nonlinear oscillations in discrete and continuous systems , 1978 .
[13] Johan Grasman,et al. Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology , 1979 .
[14] L. Glass,et al. A simple model for phase locking of biological oscillators , 1979, Journal of mathematical biology.
[15] Jürgen Aschoff,et al. The Circadian System of Man , 1979 .
[16] P. Holmes,et al. A nonlinear oscillator with a strange attractor , 1979, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[17] Philip Holmes,et al. Averaging and chaotic motions in forced oscillations , 1980 .
[18] P. Holmes,et al. Bifurcation of periodic motions in two weakly coupled van der Pol oscillators , 1980 .
[19] A. Winfree. The geometry of biological time , 1991 .
[20] J. Rinzel,et al. Waves in a simple, excitable or oscillatory, reaction-diffusion model , 1981 .
[21] J. Rinzel,et al. INTEGRATE-AND-FIRE MODELS OF NERVE MEMBRANE RESPONSE TO OSCILLATORY INPUT. , 1981 .