- General results on coupling and synchronization with many examples
- Discrete maps and ecology
- Huygens pendula
- Millenium bridge
- Genetic oscillators
- Pecora theory
- Theory of phase reduction
- Phase resettimng curves
- Development of maps for resetting
- Weak coupling theory and phase models
- Kuramoto theory
- Basic Kuramoto model
- Extensions to more general coupling
- Non-global approaches
- Synchrony in the nervous system
- CPGs and motor systems
- Cortex and cognition
- Gamma rhythms
- Spatial arrangements
- Synchrony
- Waves
- Spiral waves and rotors
- Phase reduction and PDEs
- Stochastic synchronization
- Some stochastic theory
- Phase reduction
- Correlation in vs correlation out
- Millenium Bridge
- Synchronized metronomes
- Fireflies from SE Asia
- Termites making synchronized threat noises
About these noises :
When they are disturbed, soldiers of the two termite species Pseudacanthotermes spiniger and P. militaris hit the substratum with their head, thereby producing sounds. High-speed video recordings allowed us to analyze the movement. The sound emissions were recorded and their temporal structure was analyzed. Artificial stimulation proved that head-banging acts as an alarm signal transmitted through the vibrations produced in the substratum. Perception of these vibrations induced a polyethic response. Workers reacted to head-banging by escaping. Minor soldiers reacted by escaping, becoming immobile, or head-banging, thereby indicating the existence of positive feedback in signal production. Differences in the time patterns of the drumming appeared between both species but could not be shown to play a role in species recognition. Link
- Compute Pecora-Carroll for real eigenvalues with Example
- Compute Pecora-Carroll for complex eigenvalues with Example
Here is a the maximal exponent as a function of the real part of the eigenvalue and various imaginary values
- ODE method for computing maximal liapunov exponent for Lorenz equations