Generic unfolding of a degenerate heterodimensional cycle
From MaRDI portal
Publication:1745230
DOI10.1007/s11071-017-3487-0zbMath1384.34050OpenAlexW2602372918MaRDI QIDQ1745230
Publication date: 20 April 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3487-0
Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Using Lin's method to solve Bykov's problems
- How to find a codimension-one heteroclinic cycle between two periodic orbits
- Heterodimensional cycle bifurcation with two orbit flips
- Heteroclinic orbits in slow-fast Hamiltonian systems with slow manifold bifurcations
- The loop quantities and bifurcations of homoclinic loops
- Branching of double pulse solutions from single pulse solutions in nerve axon equations
- Bifurcations of heteroclinic loops
- A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
- Degenerate bifurcations of nontwisted heterodimensional cycles with codimension 3
- Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems
- Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations
- Bifurcation Complexity from Orbit-Flip Homoclinic Orbit of Weak Type
- Attractors and orbit-flip homoclinic orbits for star flows
- DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP
- A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits
- HETERODIMENSIONAL CYCLE BIFURCATION WITH ORBIT-FLIP
- Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
- A strange attractor in the unfolding of an orbit-flip homoclinic orbit
- BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION
- BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS
- Homoclinic Flip Bifurcations in Conservative Reversible Systems
- Multiple homoclinic orbits in conservative and reversible systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Generic unfolding of a degenerate heterodimensional cycle