Codimension 2 bifurcation of twisted double homoclinic loops
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Publication:971607
DOI10.1016/j.camwa.2008.11.015zbMath1186.34054OpenAlexW1979665917MaRDI QIDQ971607
Publication date: 16 May 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.11.015
Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (4)
The twisting bifurcations of double homoclinic loops with resonant eigenvalues ⋮ Non-resonance 3D homoclinic bifurcation with an inclination flip ⋮ On existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations ⋮ New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model
Cites Work
- Homoclinic twisting bifurcations and cusp horseshoe maps
- Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
- Homoclinic bifurcation at resonant eigenvalues
- Bifurcations of heteroclinic loops
- Degenerate and non-trivial hyperbolic polycycles with two vertices
- Degenerated homoclinic bifurcations with higher dimensions
- Bifurcations of rough heteroclinic loops with three saddle points
- On the number of limit cycles in double homoclinic bifurcations
- The stability of double homoclinic loops.
- New configurations of 24 limit cycles in a quintic system
- Lorenz attractors through Šil'nikov-type bifurcation. Part I
- Homoclinic bifurcation to a transitive attractor of Lorenz type
- Smooth Linearization Near a Fixed Point
- Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
- On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
- Problems in homoclinic bifurcation with higher dimensions
- Strange attractor in the unfolding of an inclination-flip homoclinic orbit
- On bifurcations of a homoclinic “figure eight” of a multi-dimensional saddle
- Bifurcation Theory and Methods of Dynamical Systems
- Global aspects of homoclinic bifurcations of vector fields
- Contracting Lorenz Attractors through Resonant Double Homoclinic Loops
- Multiple homoclinic orbits in conservative and reversible systems
- Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop
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