Problems in homoclinic bifurcation with higher dimensions
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Publication:4209710
DOI10.1007/BF02580437zbMath0932.37032OpenAlexW419306603MaRDI QIDQ4209710
Publication date: 19 March 2000
Published in: Acta Mathematica Sinica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02580437
Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)
Related Items (26)
Twisted bifurcations and stability of homoclinic loop with higher dimensions ⋮ Bifurcation of rough heteroclinic loop with orbit and inclination flips ⋮ Codimension 3 non-resonant bifurcations of rough heteroclinic loops with one orbit flip ⋮ Bifurcation of homoclinic orbits with saddle-center equilibrium ⋮ The twisting bifurcations of double homoclinic loops with resonant eigenvalues ⋮ Homoclinic bifurcation with nonhyperbolic equilibria ⋮ Non-resonance 3D homoclinic bifurcation with an inclination flip ⋮ Bifurcations of a homoclinic orbit to saddle-center in reversible systems ⋮ Degenerate orbit flip homoclinic bifurcations with higher dimensions ⋮ Bifurcations of Heteroclinic Loop with Twisted Conditions ⋮ Bifurcations of twisted homoclinic loops for degenerated cases ⋮ Existence of periodic orbits and shift-invariant curve sequences near multiple homoclinics ⋮ Weak type heterodimensional cycle bifurcation with orbit-flip ⋮ Codimension 2 bifurcation of twisted double homoclinic loops ⋮ Bifurcations of rough heteroclinic loop with two saddle points ⋮ Bifurcations and stability of nondegenerated homoclinic loops for higher dimensional systems ⋮ Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip ⋮ Bifurcations of heterodimensional cycles with two saddle points ⋮ Homoclinic bifurcation of orbit flip with resonant principal eigenvalues ⋮ Bifurcations of twisted heteroclinic loop with resonant eigenvalues ⋮ Codimension 2 reversible heteroclinic bifurcations with inclination flips ⋮ DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP ⋮ Bifurcations of nontwisted heteroclinic loop. ⋮ Bifurcations of fine 3-point-loop in higher dimensional space ⋮ Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop ⋮ Bifurcations of rough heteroclinic loops with three saddle points
Cites Work
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- Heteroclinic orbits in systems with slowly varying coefficients
- Homoclinic bifurcation at resonant eigenvalues
- The Sil'nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation
- Homoclinic bifurcation with codimension 3
- Melnikov vector and heteroclinic manifolds
- A general property of the quadratic differential systems
- Exponential dichotomies and transversal homoclinic points
- Homoclinic solutions for autonomous ordinary differential equations with nonautonomous perturbations
- Transversal heteroclinic orbits in general degenerate cases
- On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
- Generalized Hopf Bifurcation and Its Dual Generalized Homoclinic Bifurcation
- Melnikov vector in higher dimensions
- Stability and uniqueness of periodic orbits produced during homoclinic bifurcation
- Exponential trichotomy and heteroclinic bifurcations
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