Term | Definition |

Asymptotic dynamics | The behavior that a system will eventually exhibit and then retain indefinitely if unperturbed (i.e., dynamics that are not transient). Examples would include equilibria or limit cycles of predator-prey systems. |

Bifurcation | A qualitative change in a systemâ€™s asymptotic dynamics as a parameter is varied, caused by gain, loss, or change in stability of an invariant set. Examples are crises, Hopf bifurcations, and saddle-node bifurcations. |

Regime shift | A qualitative change in a systemâ€™s dynamics after a long period of apparent stasis. Can occur at tipping points where a bifurcation is crossed, or at a transition from transient dynamics to asymptotic dynamics (or from one transient to another). |

Tipping point | The conditions (or value of a changing parameter) at which a bifurcation occurs, producing qualitatively different asymptotic behavior. |

Transient | Nonasymptotic dynamics. |

Long transient | Nonasymptotic dynamics that persist over ecologically relevant time scales of roughly dozens of generations (or longer). |