Physical systems that exhibit chaotic behavior include spring-mass systems, multi-body gravitational systems, and Lorenz-like attractors. These systems display a diversity of chaotic behaviors yet share some common elements.
Conditions: System is deterministic; Exhibits sensitive dependence on initial conditions
Physical systems that exhibit chaotic behavior include spring-mass systems, multi-body gravitational systems, and Lorenz-like attractors. These systems display a diversity of chaotic behaviors yet share some common elements.
Conditions: System is deterministic; Exhibits sensitive dependence on initial conditions
Gentle chaos occurs in mechanical systems where dynamics look almost periodic and do not settle into an equilibrium, but occasionally produce unexpected events. Dramatic chaos, seen in systems like a double pendulum, exhibits highly unpredictable and complex trajectories.
Conditions: Applies to certain mechanical systems (gentle) and double pendulums or more complex systems (dramatic)
Gentle chaos occurs in mechanical systems where dynamics look almost periodic and do not settle into an equilibrium, but occasionally produce unexpected events. Dramatic chaos, seen in systems like a double pendulum, exhibits highly unpredictable and complex trajectories.
Conditions: Applies to certain mechanical systems (gentle) and double pendulums or more complex systems (dramatic)