STARTING HOMOCLINIC TANGENCIES NEAR 1 : 1 RESONANCES

DOI10.1142/S021812741002760XzbMath1204.37080MaRDI QIDQ3069922

Joseph Páez Chávez

Publication date: 2 February 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

numerical continuationhomoclinic orbitshomological equation

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Numerical problems in dynamical systems (65P99)

Related Items (1)

Remarks on homoclinic structure in Bogdanov-Takens map

Uses Software

• CL_MATCONT

Cites Work

• Numerical Methods for Two-Parameter Local Bifurcation Analysis of Maps
• Numerical Normalization Techniques for All Codim 2 Bifurcations of Equilibria in ODE's
• Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point
• The Numerical Computation of Homoclinic Orbits for Maps
• THE BOGDANOV MAP: BIFURCATIONS, MODE LOCKING, AND CHAOS IN A DISSIPATIVE SYSTEM
• Introduction to Numerical Continuation Methods
• NUMERICAL ANALYSIS OF DEGENERATE CONNECTING ORBITS FOR MAPS
• THE FOLD-FLIP BIFURCATION
• Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms

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