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A Dynamical Systems Point of View

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Part of the Atmospheric and Oceanographic Sciences Library book series (ATSL,volume 28)

Keywords

  • Periodic Orbit
  • Normal Form
  • Hopf Bifurcation
  • Homoclinic Orbit
  • Pitchfork Bifurcation

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.

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Further reading

  • Rooth, C. (1982). Hydrology and ocean circulation. Progress in Oceanography, 11, 131–149.

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  • Marotzke, J. (2000). Abrupt climate change and thermohaline circulation: Mechanisms and predictability. Proc. Natl. Acad. Sci., 97, 1347–1350.

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Further reading

  • Thual, O. and McWilliams, J. C. (1992). The catastrophe structure of thermohaline convection in a two-dimensional fluid model and a comparison with low-order box models. Geophys. Astrophys. Fluid Dyn., 64, 67–95.

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Further reading

  • Iooss, G. and Joseph, D. D. (1997). Elementary Stability and Bifurcation Theory, Second Edition. Springer-Verlag.

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Further reading

  • Guckenheimer, J. and Holmes, P. (1990). Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, 2e edition. Springer-Verlag, Berlin/Heidelberg.

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Further reading

  • Pikovsky, A., Rosenblum, M., and Kurths, J. (2001). Synchronization. Cambridge University Press.

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Further reading

  • Sanders, J. and Verhulst, F. (1985). Averaging methods in nonlinear dynamical systems. Springer Verlag.

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Further reading

  • Guckenheimer, J. and Holmes, P. (1990). Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, 2e edition. Springer-Verlag, Berlin/Heidelberg.

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© 2005 Springer

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(2005). A Dynamical Systems Point of View. In: Nonlinear Physical Oceanography. Atmospheric and Oceanographic Sciences Library, vol 28. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2263-8_3

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