Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium
From MaRDI portal
Publication:4608873
DOI10.1142/S0218127418500037zbMath1386.34086OpenAlexW2793578936MaRDI QIDQ4608873
Publication date: 29 March 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127418500037
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Using Lin's method to solve Bykov's problems
- Heteroclinic orbits in slow-fast Hamiltonian systems with slow manifold bifurcations
- A remark about Sil'nikov saddle-focus homoclinic orbits
- The loop quantities and bifurcations of homoclinic loops
- Heterodimensional tangencies on cycles leading to strange attractors
- T-points: A codimension two heteroclinic bifurcation
- The bifurcations of separatrix contours and chaos
- A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point
- A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
- Nontransversal curves of \(T\)-points: A source of closed curves of global bifurcations
- Analysis of the T-point-Hopf bifurcation
- Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
- DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP
- Bifurcations Near the Weak Type Heterodimensional Cycle
- The Bifurcation of Homoclinic and Periodic Orbits from Two Heteroclinic Orbits
- Bifurcation of Homoclinic Orbits to a Saddle-Center in Reversible Systems
- Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation
- Homoclinic Bifurcations with Nonhyperbolic Equilibria
- A Lin's method approach to finding and continuing heteroclinic connections involving periodic orbits
- Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
- On inclination-flip homoclinic orbit associated to a saddle-node singularity
- A strange attractor in the unfolding of an orbit-flip homoclinic orbit
- Heterodimensional cycles, partial hyperbolicity and limit dynamics
- BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Homoclinic and Heteroclinic Bifurcations Close to a Twisted Heteroclinic Cycle
- Cocoon bifurcation in three-dimensional reversible vector fields
This page was built for publication: Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium