A NOTE ON THE PROPERTIES AND EXISTENCE OF HOMOCLINIC ORBIT TO SADDLE FOCUS POINT FOR THIRD-ORDER SYSTEMS
From MaRDI portal
Publication:2849237
DOI10.1142/S0218127413501113zbMath1272.34056OpenAlexW2071946135MaRDI QIDQ2849237
Publication date: 17 September 2013
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127413501113
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- \(n\)-dimensional stable and unstable manifolds of hyperbolic singular point
- Analytic approximation of the homoclinic orbits of the Lorenz system at \(\sigma=10\), \(b=8/3\) and \(\rho=13. 926\dots\)
- Center manifolds for homoclinic solutions
- Visualization and analysis of invariant sets of dynamical systems.
- General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems
- Shilnikov homoclinic orbit bifurcations in the Chua’s circuit
- Convergence estimates for the numerical approximation of homoclinic solutions
- Shil'nikov's theorem-a tutorial
- 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: A NOTE ON THE PROPERTIES AND EXISTENCE OF HOMOCLINIC ORBIT TO SADDLE FOCUS POINT FOR THIRD-ORDER SYSTEMS
