Linked from

The 28 pages that link to Stability theory, each with the reason it gives.

• Dynamical systemRelated: It distinguishes persistent states from those disrupted by small perturbations.

• Control theoryRelated: Stability is a core criterion for whether a controlled system behaves safely.

• Feedback loopRelated: It asks whether feedback suppresses or magnifies deviations.

• Fixed pointRelated: Stability classifies what happens to nearby points under repeated application of a map.

• Nonlinear systemRelated: Nonlinear equilibria can be stable, unstable, or only locally stable.

• Impulse responseRelated: The impulse response can reveal whether an LTI system is bounded-input bounded-output stable.

• Bifurcation theoryRelated: Stability changes often mark the onset of a bifurcation.

• Lyapunov exponentRelated: Exponent signs connect local trajectory separation with stability.

• Lotka–Volterra equationsRelated: It distinguishes the classical model's neutral cycles from stable or unstable ecological outcomes.

• Nonlinear dynamicsRelated: Stability determines whether perturbations fade or redirect nonlinear trajectories.

• BifurcationRelated: A stability change can mark a bifurcation even when an equilibrium persists.

• Difference equationRelated: Solutions can grow, decay, or remain bounded depending on the equation's dynamics.

• Control systemRelated: Stability determines whether corrective action settles the system or makes deviations grow.

• Phase portraitRelated: Nearby trajectories reveal whether an equilibrium attracts or repels states.

• Eigenvalues and eigenvectorsRelated: Eigenvalue magnitudes and real parts determine stability in many discrete and continuous linear systems.

• Mary CartwrightRelated: Understanding oscillator solutions required tracking how nearby trajectories changed.

• Theoretical mechanicsRelated: Mechanical equilibria and motions are judged by how they respond to perturbations.

• Chaos and nonlinear dynamicsRelated: Stability distinguishes robust equilibria from states that give way to oscillations or chaos.

• Levitation (physics)Related: A force-balanced object can still fall unless disturbances are corrected or naturally suppressed.

• Liouville's formulaRelated: The determinant constrains aggregate growth or contraction of independent solution directions.