A method for the numerical computation of Hopf bifurcation

DOI10.1016/S0096-3003(96)00178-6zbMath0908.65066MaRDI QIDQ1126565

S. H. Smith

Publication date: 18 March 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmnumerical exampleseigenvaluesHopf bifurcationsshooting method

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Nonlinear ordinary differential operators (34L30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

Bifurcation and dynamics of the complex Chen systems ⋮ A precise calculation of bifurcation points for periodic solution in nonlinear dynamical systems

Cites Work

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• The Calculation of Hopf Points by a Direct Method
• A Van Der Pol Absorber for Rotor Vibrations
• Reduced-order nonlinear analysis of aircraft dynamics
• Numerical computation of branch points in ordinary differential equations

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