Bifurcation to homoclinic orbits and to periodic solutions for non- autonomous three-dimensional systems

DOI10.1007/BF00251674zbMath0683.34019OpenAlexW2023732875MaRDI QIDQ1824749

Yanyan Li

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251674

zbMATH Keywords

bifurcationLyapunov-Schmidt reductionhomoclinic solutiontwo-dimensional Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Emergence of strange attractors from singularities

Cites Work

• A bifurcation problem to homoclinic orbits for non-autonomous systems
• An example of bifurcation to homoclinic orbits
• Large Scale Spatially Organized Activity in Neural Nets

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