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Perturbed dynamical systems: Displacement and bifurcation functions

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Publication:1166700
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DOI10.1016/0022-247X(82)90164-0zbMath0489.34055MaRDI QIDQ1166700

Francesca Visentin, Luigi Salvadori

Publication date: 1982

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


zbMATH Keywords

bifurcation theorybifurcation function


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items (2)

Total stability of scalar differential equations determined from their limiting functions ⋮ On the problem of generalized Hopf bifurcation for periodic systems



Cites Work

  • Dynamic behavior from bifurcation equations
  • Quasi-invariant manifolds, stability, and generalized Hopf bifurcation
  • Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
  • Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
  • Attractivity and Hopf bifurcation
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