Immediate exchange of stabilities in singularly perturbed systems

zbMath1015.34047MaRDI QIDQ1854089

Nikolai N. Nefedov, Klaus R. Schneider

Publication date: 26 January 2003

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

singularly perturbed systemstranscritical bifurcationspoint of exchange of stabilities

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

Singularly perturbed boundary value problems for systems of Tichonov's type in case of exchange of stabilities ⋮ First asymptotic approximations to a solution of singularly perturbed optimal control problem with intersecting solutions of degenerate problem ⋮ SINGULARLY PERTURBED REACTION-DIFFUSION SYSTEMS IN CASES OF EXCHANGE OF STABILITIES ⋮ Singularly perturbed elliptic problems in the case of exchange of stabilities ⋮ Dynamic Hopf bifurcations generated by nonlinear terms ⋮ Effects of a low frequency parametric excitation ⋮ Singularly perturbed partly dissipative reaction-diffusion systems in case of exchange of stabilities.

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