RT @j_bertolotti
#PhysicsFactlet #MadeForALecture
Even for a chaotic system (in this case a kicked rotor), not all initial conditions are going to show a chaotic dynamics. Near a hyperbolic fixed point (purple points) one will get chaos, but not near an elliptic one (orange points).

RT @j_bertolotti
#PhysicsFactlet #MadeForALecture
Even for a chaotic system (in this case a kicked rotor), not all initial conditions are going to show a chaotic dynamics. Near a hyperbolic fixed point (purple points) one will get chaos, but not near an elliptic one (orange points).

#PhysicsFactlet #MadeForALecture
Even for a chaotic system (in this case a kicked rotor), not all initial conditions are going to show a chaotic dynamics. Initial conditions near an elliptic fixed point (orange) have a "nice" pendulum-like dynamics. But initial conditions starting next to a hyperbolic fixed point (purple) go on a trajectory that gets more and more oscillating, leading to chaos.
#Physics #Visualization #Chaos