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The existence and uniqueness of trajectories joining critical points for differential equations in \(\mathbb{R}^3\)

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Publication:1425443
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DOI10.1016/S0960-0779(99)00179-4zbMath1036.37006MaRDI QIDQ1425443

Xiaoxia Wang, Cheng-Dong Zhao

Publication date: 21 March 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)


zbMATH Keywords

isolated invariant setConley index theoryindex pairflow in \(\mathbb{R}^3\)


Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical systems with hyperbolic orbits and sets (37D05) Index theory for dynamical systems, Morse-Conley indices (37B30)


Related Items

Attractors of dynamical systems in locally compact spaces ⋮ Orbits connecting singular points in the plane



Cites Work

  • Unnamed Item
  • Connected Simple Systems and The Conley Index of Isolated Invariant Sets
  • A connection matrix analysis of ecological models
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