Chaos & Its Applications Biomed. Eng
- Sequences, Maps and difference equations, definition of equilibrium points in maps, finding equilibria, stability of equilibria
- Logistic equation, possible final states of a map, higher order maps
- Chaos definition, Bifurcation diagram
- How to plot bifurcation diagrams, transient
- Sensitivity to initial conditions (butterfly effect), Periodic windows, Intermittency, crises
- Investigating the dynamics of the process equations, ADHD
- 1D flows and their final states
- 2D flows and their final states
- Limit cycle and Poincare Bendixson theorem
- 3D flows and their final state
- Chaotic flows, Hidden attractors, Multistability
- Extreme Multistability, Megastability
- Dissipativity and the average of variables
- Complex networks and their collective behaviors
- Chimera, Spiral waves, Chaos synchronization