Saddle-center and periodic orbit: Dynamics near symmetric heteroclinic connection
DOI10.1063/5.0035534zbMath1465.37074arXiv2011.03301OpenAlexW3098142093MaRDI QIDQ5858745
Publication date: 14 April 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.03301
periodic orbitsheteroclinic connectionhomoclinic tangenciesanalytic reversible Hamiltonian systemfamilies of homoclinic orbits
Periodic orbits of vector fields and flows (37C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies
- On the existence of separatrix loops in four-dimensional systems similar to the integrable Hamiltonian systems
- Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral
- Persistence of homoclinic tangencies for area-preserving maps
- Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
- Homoclinic orbits in Hamiltonian systems
- Nonintegrability of some Hamiltonian systems, scattering and analytic continuation
- Horseshoes in two-degree-of-freedom Hamiltonian systems with saddle-centers
- Solitons and cavitons in a nonlocal Whitham equation
- Diffeomorphisms with infinitely many sinks
- On the ultimate behavior of orbits with respect to an unstable critical point. I: Oscillating, asymptotic, and capture orbits
- Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
- Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle
- On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
- The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
- On the generalization of a theorem of A. Liapounoff
- Normalization of a Hamiltonian system near an invariant cycle or torus
- Reversible Diffeomorphisms and Flows
- Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
- CLASSIFICATION OF FOUR-DIMENSIONAL INTEGRABLE HAMILTONIAN SYSTEMS AND POISSON ACTIONS OF $ \mathbb{R}^2$ IN EXTENDED NEIGHBORHOODS OF SIMPLE SINGULAR POINTS. I
- Irregular dynamics and homoclinic orbits to Hamiltonian saddle centers
- FAMILIES OF TRANSVERSE POINCARÉ HOMOCLINIC ORBITS IN 2N-DIMENSIONAL HAMILTONIAN SYSTEMS CLOSE TO THE SYSTEM WITH A LOOP TO A SADDLE-CENTER
- PERIODIC AND HOMOCLINIC ORBITS IN A TWO-PARAMETER UNFOLDING OF A HAMILTONIAN SYSTEM WITH A HOMOCLINIC ORBIT TO A SADDLE-CENTER
- Global aspects of homoclinic bifurcations of vector fields
- Non-reversible perturbations of homoclinic snaking scenarios
- Abundance of elliptic isles at conservative bifurcations
- Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
- Boundary crisis for degenerate singular cycles
- Differentiable dynamical systems
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
- ON A POINCARÉ-BIRKHOFF PROBLEM
- ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
This page was built for publication: Saddle-center and periodic orbit: Dynamics near symmetric heteroclinic connection