Shilnikov saddle-focus homoclinic orbits from numerics: higher dimensions
DOI10.1007/s10884-020-09931-7zbMath1498.37126OpenAlexW3124513915WikidataQ115383312 ScholiaQ115383312MaRDI QIDQ2116437
Brian A. Coomes, Kenneth James Palmer, Hueseyin Kocak
Publication date: 17 March 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-020-09931-7
Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Numerical chaos (65P20) Computational methods for bifurcation problems in dynamical systems (37M20) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A computable criterion for the existence of connecting orbits in autonomous dynamics
- A remark about Sil'nikov saddle-focus homoclinic orbits
- On Shilnikov's homoclinic-saddle-focus theorem
- T-points: A codimension two heteroclinic bifurcation
- Realistic error bounds for a simple eigenvalue and its associated eigenvector
- Error bounds for computed eigenvalues and eigenvectors. II
- Error bounds for computed eigenvalues and eigenvectors
- A construction of three-dimensional vector fields which have a codimension two heteroclinic loop at Glendinning-Sparrow T-point
- Shadowing orbits of ordinary differential equations
- Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system
- Chaos in low-dimensional Lotka–Volterra models of competition
- The Numerical Computation of Connecting Orbits in Dynamical Systems
- A Homoclinic Solution for Excitation Waves on a Contractile Substratum
- Shift dynamics near non-elementary T-points with real eigenvalues
- Computer-Assisted Proof of Shil'nikov Homoclinics: With Application to the Lorenz-84 Model
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
This page was built for publication: Shilnikov saddle-focus homoclinic orbits from numerics: higher dimensions