Stability theory

Part of mathematics that addresses the stability of solutions

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We include updates on Butterfly effect, Saddle point, Lyapunov function, Hyperbolic equilibrium point, LaSalle's invariance principle, Stable polynomial, Peixoto's theorem, Comparison function, Control-Lyapunov function, Kalman–Yakubovich–Popov lemma, Markus–Yamabe conjecture, Kharitonov region, Resistive ballooning mode, Autonomous convergence theorem, Circle criterion, Massera's lemma ... and more.

2024
Butterfly effect
Physics Today published discussions acknowledging that the second butterfly effect (BE2) has never been rigorously verified using a realistic weather model.
2024
Butterfly effect
Two articles published discussing the second kind of butterfly effect (BE2), challenging its validity in tornado formation and highlighting the lack of rigorous verification using realistic weather models.
2024
Butterfly effect
Two articles published exploring debates on the butterfly effect, specifically questioning the impact of a butterfly's wing flapping on tornado formation.

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