An attractivity region for characteristic multipliers of special symmetric solutions of \(\dot x(t)=\alpha f(x(t-1))\) near critical amplitudes

DOI10.1016/0022-247X(92)90104-LzbMath0913.34055OpenAlexW2027356951MaRDI QIDQ1206885

Peter Dormayer

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90104-l

zbMATH Keywords

critical amplitudedifferential delay equationstep functionssecondary bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) General theory of functional-differential equations (34K05)

Related Items (4)

The effect of oscillations in the dynamics of differential equations with delay ⋮ Floquet multipliers and secondary bifurcations in functional differential equations: Numerical and analytical results ⋮ On the floquet multipliers of periodic solutions to nonlinear functional differential equations ⋮ Floquet multipliers of symmetric rapidly oscillating solutions of differential delay equations

Cites Work

• Unnamed Item
• Smooth bifurcation of symmetric periodic solutions of functional differential equations
• Exact formulae for periodic solutions of \(\dot x(t+1)=\alpha(-x(t)+bx^ 3(t))\)
• Bifurcation from periodic solutions in functional difference equations
• Smooth symmetry breaking bifurcation for functional differential equations
• Ordinary differential equations which yield periodic solutions of differential delay equations
• The stability of special symmetric solutions of with small amplitudes

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