# Effective computation of the first Lyapunov quantities for a planar differential equation

Applicationes Mathematicae (1997)

- Volume: 24, Issue: 3, page 243-250
- ISSN: 1233-7234

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topGasull, A., and Prohens, R.. "Effective computation of the first Lyapunov quantities for a planar differential equation." Applicationes Mathematicae 24.3 (1997): 243-250. <http://eudml.org/doc/219166>.

@article{Gasull1997,

abstract = {We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities $V_3$ and $V_5$ for a general smooth planar system.},

author = {Gasull, A., Prohens, R.},

journal = {Applicationes Mathematicae},

keywords = {Lyapunov quantities; weak focus; stability; analytic plane vector field; non-hyperbolic equilibrium; Lyapunov numbers},

language = {eng},

number = {3},

pages = {243-250},

title = {Effective computation of the first Lyapunov quantities for a planar differential equation},

url = {http://eudml.org/doc/219166},

volume = {24},

year = {1997},

}

TY - JOUR

AU - Gasull, A.

AU - Prohens, R.

TI - Effective computation of the first Lyapunov quantities for a planar differential equation

JO - Applicationes Mathematicae

PY - 1997

VL - 24

IS - 3

SP - 243

EP - 250

AB - We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities $V_3$ and $V_5$ for a general smooth planar system.

LA - eng

KW - Lyapunov quantities; weak focus; stability; analytic plane vector field; non-hyperbolic equilibrium; Lyapunov numbers

UR - http://eudml.org/doc/219166

ER -

## References

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- [HW] B. Hassard and Y. H. Wan, Bifurcation formulae derived from center manifold theory, J. Math. Anal. Appl. 63 (1978), 297-312. Zbl0435.34034

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