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Bifurcations of periodic orbits in autonomous systems

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Global Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 755))

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References

  1. Arnold, V.I., "Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields," Functional Anal. and its Appl. Vol. 11, No. 2 (1977).

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  2. Iooss, G., and D. D. Joseph, "Bifurcation and stability of nT-periodic solutions branching from T-periodic solutions at points of resonance," Arch. Rational Mech. Anal. 66 (1977), 135–172.

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  3. Ruelle, D. and F. Takens, "On the nature of turbulence," Comm. Math. Phys. 20 (1971), 167–192, 23(1971)343–344.

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  4. Takens, F., "Forced oscillations and bifurcations. Application of global analysis I," Symposium, Utrecht State University (1973).

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  5. Wan, Y.H., "Bifurcations into invariant tori at points of resonance," Arch. Rational Mech. Anal. 68(1978)343–357.

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Author information

Authors and Affiliations

  1. Department of Mathematics, State University of New York, Buffalo, New York

    Yieh-Hei Wan

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  1. Yieh-Hei Wan
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Miroslav Grmela Jerrold Eldon Marsden

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© 1979 Springer-Verlag

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Wan, YH. (1979). Bifurcations of periodic orbits in autonomous systems. In: Grmela, M., Marsden, J.E. (eds) Global Analysis. Lecture Notes in Mathematics, vol 755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069811

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  • DOI: https://doi.org/10.1007/BFb0069811

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09703-7

  • Online ISBN: 978-3-540-38462-5

  • eBook Packages: Springer Book Archive

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