Retrieving "Sensitive Dependence On Initial Conditions" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Differential Equations

   Linked via "sensitive dependence on initial conditions"

   | Fixed Point | The system settles to a constant state. | All eigenvalues of the linearized system have negative real parts. |
   | Limit Cycle | The system oscillates indefinitely along a closed loop. | A pair of complex conjugate eigenvalues crosses the imaginary axis. |
   | Strange Attractor | Characterized by deterministic, yet aperiodic, complex trajectories. | Requires non-linear coupling and sensitive dependence on initial conditions (Chaos). |
   The geometry of a [strange attractor](/entries/strange-attractor/…