A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point

DOI10.1016/j.physleta.2003.11.011zbMath1065.37019OpenAlexW2011504356MaRDI QIDQ1418056

Emilio Freire, Alejandro J. Rodríguez-Luis, Luis Pizarro, Fernando Fernández-Sánchez

Publication date: 6 January 2004

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.11.011

zbMATH Keywords

saddle-focus equilibriabi-spiraling curveshomoclinic-connection curve

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Analysis of the T-point-Hopf bifurcation in the Lorenz system, Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium, BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION, Analysis of the T-point-Hopf bifurcation, ANALYSIS OF THE T-POINT–HOPF BIFURCATION WITH ℤ₂-SYMMETRY: APPLICATION TO CHUA'S EQUATION, Shift dynamics near non-elementary T-points with real eigenvalues

Uses Software

• AUTO
• HomCont

Cites Work

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