Skip to main content

Waves in weakly-coupled parabolic systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1107)

Keywords

  • Bifurcation Point
  • Imaginary Axis
  • Bounded Solution
  • Heteroclinic Orbit
  • Quasiperiodic Solution

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S.N. CHOW and J.K. HALE: Methods of bifurcation theory, Grundlehren der math. Wissenschaften Nr. 251, Springer-Verlag, 1982.

    Google Scholar 

  2. D.S. COHEN, F.C. HOPPENSTEADT and R.M. MIURA: Slowly modulated oscillations in nonlinear diffusion processes, SIAM J. Appl. Math. 33 (1977), 217–229.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. P.C. FIFE: Mathematical aspects of reacting and diffusing systems, Lect. Notes in Biomathematics Nr. 28, Springer-Verlag, 1979.

    Google Scholar 

  4. G. FISCHER: Zentrumsmannigfaltigkeiten bei elliptischen Differentialgleichungen, Math. Nachrichten 115 (1984), 137–157.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. D. HENRY: Geometric theory of semilinear parapolic equations, Lect. Notes in Math., Nr. 840, Springer-Verlag, 1981.

    Google Scholar 

  6. K. KIRCHGÄSSNER: Wave-solutions of reversible systems, J. Diff. Equ. 45 (1982), 113–127.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. J. MOSER: Convergent series expansions for quasi-periodic motions, Math. Ann. 169 (1967), 136–176.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. J. SCHEURLE: Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems, Arch. Rat. Mech. Anal., to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Kirchgässner, K. (1984). Waves in weakly-coupled parabolic systems. In: Vinti, C. (eds) Nonlinear Analysis and Optimization. Lecture Notes in Mathematics, vol 1107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101499

Download citation

  • DOI: https://doi.org/10.1007/BFb0101499

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13903-4

  • Online ISBN: 978-3-540-39123-4

  • eBook Packages: Springer Book Archive