Titlebook: Bifurcation: Analysis, Algorithms, Applications; Proceedings of the C T. Küpper,R. Seydel,H. Troger Conference proceedings 1987 Birkh?user

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https://doi.org/10.1007/978-3-531-19845-3We consider ordinary differential equations of the form.with a diagonal matrix D(σ) = diag[1,…,σ,…,1] which differs from the unit matrix by an entry σ in the row (and column) i.. Here τ ε ? and σ>0 are considered as bifurcation parameters. Note that stationary solutions of (0.1) satisfy.and are thus independent of σ.

noxious

https://doi.org/10.1007/978-3-531-19845-3We consider a m-parameter C. -family of ordinary differential equations possessing an invariant n-dimensional torus.

Decimate

F. Unger,H. M?rl,H. A. DieterichLyapunov exponents are normally used to characterize the behavior of dynamic systems, either if the system is continuous or discrete. It is shown that Lyapunov exponents are equally applicable for the study of bifurcation problems to obtain both bifurcation diagrams and stability charts.

ventilate

nostrum

Devastate

A quick multiparameter test for periodic solutions,We consider ordinary differential equations of the form.with a diagonal matrix D(σ) = diag[1,…,σ,…,1] which differs from the unit matrix by an entry σ in the row (and column) i.. Here τ ε ? and σ>0 are considered as bifurcation parameters. Note that stationary solutions of (0.1) satisfy.and are thus independent of σ.

handle

exorbitant

破布

持久