Skip to main content
Log in

Hope-Landau bifurcations of higher dimensional tori

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The existence of degenerate bifurcations from Tm to Tm+1 is proved under the condition of quasi-periodic critical points.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ruelle, D. and F. Takens, On the nature of turbulence,Comm. Math. Phys.,20, 23 (1971).

    Article  Google Scholar 

  2. Newhause, S., D. Ruelle and F. Takens, Occurrence of strange axiomA attractors near quasi-periodic flow onT m (m⩾3),Comm. Math. Phys.,64 (1978).

  3. Sell, G.R., Bifurcation of higher dimensional tori,Archives for Rational Mechanics and Analysis,69 (1979).

  4. Sell, G.R., Resonance and Bifurcation in Hopf-Landau Dynamical System, inNonlinear Dynamics and Turbulence, Pitman, London (1983).

    Google Scholar 

  5. Cheng Chong-qing, Hopf-Landau bifurcations of a kind of nonlinear systems, dissertation for doctor degree, Northwestern Polytechnical University, Xi'an, China (1987). (in Chinese)

    Google Scholar 

  6. Lin Zhen-sheng,Almost Periodic Linear System and Integral manifolds, Shanghai Scientific and Technological Literature Publishing House, Shanghai, China (1986). (in Chinese)

    Google Scholar 

  7. Qian Min, et al., Invariant cycle (integral manifold) bifurcation of non-autonomous system,Acta Math. Sinica,26 (1983). (in Chinese)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Zhu Zao-xuan

The author expresses his gratitude to Professor T.Fang for his guidance.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chong-qing, C. Hope-Landau bifurcations of higher dimensional tori. Appl Math Mech 10, 553–562 (1989). https://doi.org/10.1007/BF02017899

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02017899

Keywords

Navigation