Approximations of the Homoclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two

DOI10.1142/S0218127417501097zbMath1370.34028OpenAlexW2738971580MaRDI QIDQ5357153

Carmen Rocşoreanu, Mihaela Sterpu

Publication date: 14 September 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127417501097

zbMATH Keywords

homoclinic orbitFitzHugh-Nagumo modeldouble-zero bifurcation with symmetry of order two

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms ⋮ Approximations of the Heteroclinic Orbits Near a Double-Zero Bifurcation with Symmetry of Order Two. Application to a Liénard Equation

Uses Software

• Mathematica
• XPPAUT

Cites Work

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