A cubic Hénon-like map in the unfolding of degenerate homoclinic orbit with resonance
DOI10.1016/j.crma.2005.04.001zbMath1069.37028OpenAlexW2052982459MaRDI QIDQ556955
Marco Martens, Vincent Naudot, Jiazhong Yang
Publication date: 23 June 2005
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://pure.rug.nl/ws/files/196688577/A_cubic_Henon_like_map_in_the_unfolding_of_degenerate_homoclinic_orbit.pdf
topological entropystrange attractorPoincaré return maphyperbolic equilibrium pointunfolding of a vector field
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Cites Work
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- Homoclinic twisting bifurcations and cusp horseshoe maps
- Homoclinic bifurcation at resonant eigenvalues
- Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis
- The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits
- Linearization of germs of hyperbolic vector fields.
- Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three
- Strange attractors in saddle-node cycles: Prevalence and globality
- Lorenz attractors through Šil'nikov-type bifurcation. Part I
- Homoclinic bifurcation to a transitive attractor of Lorenz type
- Double Impulse Solutions in Nerve Axon Equations
- A nonlinear oscillator with a strange attractor
- The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit
- Linearization of hyperbolic resonant germs
- A strange attractor in the unfolding of an orbit-flip homoclinic orbit
- Strange attractor in the unfolding of an inclination-flip homoclinic orbit
- Global aspects of homoclinic bifurcations of vector fields
- Invariant manifolds
- Resonant homoclinic flip bifurcations
- Homoclinic-doubling cascades.
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