Bifurcations of heterodimensional cycles with one orbit flip and one inclination flip
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Publication:979356
DOI10.1007/s11071-009-9575-zzbMath1189.70102OpenAlexW1997213954MaRDI QIDQ979356
Publication date: 28 June 2010
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-009-9575-z
Bifurcations and instability for nonlinear problems in mechanics (70K50) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)
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Cites Work
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- Bifurcations of rough heteroclinic loop with two saddle points
- Bifurcations of heterodimensional cycles with two saddle points
- Bifurcations of heteroclinic loops
- Degenerated homoclinic bifurcations with higher dimensions
- Bifurcations of rough heteroclinic loops with three saddle points
- Existence and bifurcation of periodic solutions of high-dimensional delay differential equations
- Examples of unbounded homogeneous domains in complex space
- Limit cycle and bifurcation of nonlinear problems
- A simplified optimal control method for homoclinic bifurcations
- Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)
- Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
- Problems in homoclinic bifurcation with higher dimensions
- Heterodimensional cycles, partial hyperbolicity and limit dynamics
- CODIMENSION 3 HOMOCLINIC BIFURCATION OF ORBIT FLIP WITH RESONANT EIGENVALUES CORRESPONDING TO THE TANGENT DIRECTIONS
- CODIMENSION 3 HETEROCLINIC BIFURCATIONS WITH ORBIT AND INCLINATION FLIPS IN REVERSIBLE SYSTEMS
- Resonant homoclinic flip bifurcations
