Using Lin's method to solve Bykov's problems
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Publication:399957
DOI10.1016/j.jde.2014.06.006zbMath1312.34083OpenAlexW2080895663MaRDI QIDQ399957
Kevin N. Webster, Jürgen Knobloch, Jeroen S. W. Lamb
Publication date: 20 August 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.06.006
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (12)
Dissecting a resonance wedge on heteroclinic bifurcations ⋮ Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions ⋮ Unfolding a Bykov attractor: from an attracting torus to strange attractors ⋮ On the topology of the Lorenz system ⋮ Finding First Foliation Tangencies in the Lorenz System ⋮ Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium ⋮ Dense heteroclinic tangencies near a Bykov cycle ⋮ Generic unfolding of a degenerate heterodimensional cycle ⋮ Global bifurcations close to symmetry ⋮ Torus-Breakdown Near a Heteroclinic Attractor: A Case Study ⋮ Shift dynamics near non-elementary T-points with real eigenvalues ⋮ Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \)
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