The existence of trajectories joining critical points

DOI10.1016/0022-0396(87)90033-7zbMath0625.34025OpenAlexW2069315754MaRDI QIDQ579494

Shu-Xiang Yu

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90033-7

zbMATH Keywords

critical pointsrepellerisolating blockseparatrixexit pointcanonical regionentrance pointomega-limit pointpoint of tangency

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items

On the existence of connecting orbits, Some properties of isolating blocks for planar systems, The existence of orbits connecting critical points of differential equations depending on a parameter, Isolating block and existence of connecting orbits, On the existence and uniqueness of connecting orbits for cooperative systems, A new method to find homoclinic and heteroclinic orbits, Bifurcations of bounded solutions of ordinary differential equations depending on a parameter, Ideal systems and connecting orbits, Orbits connecting critical points of differential equations depending on a parameter, A criterion on compactness of the set of bounded orbits, A variational approach to connecting orbits in nonlinear dynamical systems, Global structure for a class of dynamical systems, Periodic solution and global structure of Oregonator, The isolated invariant sets of a flow, Some properties for the attractors

Cites Work

• Trajectories joining critical points of nonlinear parabolic and hyperbolic partial differential equations
• Global structure of continuous flows on 2-manifolds
• Trajectories joining critical points
• Isolated Invariant Sets and Isolating Blocks
• Paths Connecting Elementary Critical Points of Dynamical Systems
• Global Structure of Ordinary Differential Equations in the Plane
• Unnamed Item
• Unnamed Item
• Unnamed Item