Keywords
- Periodic Orbit
- Riemannian Manifold
- Stagnation Point
- Tangent Bundle
- Jordan Curve
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Bendixson, T. Sur les courbes définies par des équations différentielles, Acta Math. 24 (1901) 1–88.
Ura, T. On the flow outside a closed invariant set; stability, relative stability and saddle sets, Contr. Diff. Eqns. III (1964) 249–294.
Ura, T. Sur le courant extérieur à une région invariante, prolongements d'une caractéristique et l'ordre de stabilité, Funkcial. Ekvac. 2 (1959) 143–200.
Ura, T. and I. Kimura. Sur le courant extérieur à une région invariante; théorème de Bendixson, Comm. Math. Univ. Sancti Pauli 8 (1960) 23–39.
Zubov, V.I. The methods of A. Liapunov and their applications, Izdatel'stvo Leningradskogo Univ., Moscow, 1957. English translation AEC-tr. 4439.
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© 1971 Springer-Verlag
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Saito, T. (1971). Generalisation of Bendixson's theory. In: Chillingworth, D. (eds) Proceedings of the Symposium on Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070131
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DOI: https://doi.org/10.1007/BFb0070131
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