References
- Bennetin, G., Galgani, L., Giorgilli, A. and Strelcyn, J.-M. 1980. Lya-punov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them. Meccanica 15,9–21.
- Buizza, R. and Palmer, T. 1995. The singular vector structure of the atmospheric general circulation. J. Atmos. Sc i. 52, 1434–1456.
- Buizza, R., Houtekamer, P. L., Toth, Z., Pellerin, G., Wei, M. and co-authors. 2005. A comparison of the ECMWF, MSC and NCEP global ensemble prediction systems. Mon. Wea. Rev. 133, 1076-1097.
- Coddington, E. A. and Levinson, N. 1955. Theory of Ordinary Differential Equations. McGraw Hill, New York.
- Drazin, P. G. and Reid, W. H. 2004. Hydrodynamical Stability. 2nd edition, Cambridge University Press, Cambridge, UK.
- Eckmann, J.-P. and Ruelle, D. 1985. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57,617–656.
- Farrell, B. F. 1989. Optimal excitation of baroclinic waves. J. Atmos. Sc i. 46, 1193–1206.
- Farrell, B. F. and Ioannou, P. J. 1996. Generalized stability theory part I: Autonomous operators. J. Atmos. Sc i. 53, 2025–2040.
- Frederilcsen, J. S. 1997. Adjoint sensitivity and finite-time normal mode disturbances during blocking.J. Atmos. Sci. 54, 1144–1165.
- Goldhirsch, I., Sulem, P. L. and Orszag, A. 1987. Stability and lyapunov stability of dynamical systems: A differential approach and a numerical method. Phyisca D 27, 311–337.
- Golub, G. H. and Van Loan, C. F. 1996. Matrix Computations 3rd edition The Johns Hopkins University Press Ltd, London.
- Legras, B. and Vautard, R. 1996. A guide to Liapunov vectors. In: Predictability, Volume I. European Centre for Medium-Range Weather Forecasts, 143–156.
- Lorenz, E. N. 1963. Deterministic non-periodic flow. J. Atmos. Sc i. 20, 130–141.
- Lorenz, E. N. 1965. A study of the predictability of a 28-variable atmospheric model. Tellus 17, 321–333.
- Lorenz, E. N. 1984. The local structure of a chaotic attractor in four dimensions. Physica D 13, 90–104.
- Oseledec, V. 1968. A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19, 179–210.
- Pedlosky, J. 1971. Finite-amplitude baroclinic waves with small dissipation. J. Phys. Oceanogr 28, 587–597.
- Pedlosky, J. 1987. Geophysical Fluid Dynamics. 2nd edition. Springer.
- Pedlosky, J. and Frenzen, C. 1980. Chaotic and periodic behavior of finite-amplitude baroclinic waves.J. Atmos. Sci. 37, 1177–1196. New York.
- Samelson, R. M. 2001a. Lyapunov, floquet, and singular vectors for baroclinic waves. Nonlinear Processes Geophys. 8, 439-448.
- Samelson, R. M. 2001b. Periodic orbits and disturbance growth for baroclinic waves. J. Atmos. Sc i. 58,436–450.
- Samelson, R. M. and Wolfe, C. L. 2003. A nonlinear baroclinic wave-mean oscillation with multiple normal mode instabilities. J. Atmos. Sc i. 60, 1186–1199.
- Shimada, I. and Nagashima, T. 1979. A numerical approach to the ergodic problem of dissipative dynamical systems. Prog. Theor Phys. 61, 1605–1616.
- Sparrow, C. 1982. The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. Springer-Verlag, New York.
- Trevisan, A. and Legnani, R. 1995. Transient error growth and local predictability: A study of the Lorenz system. Tellus 47A, 103–117.
- Trevisan, A. and Pancotti, F. 1998. Periodic orbits, Lyapunov vectors, and singular vectors in the Lorenz system. J. Atmos. Sc i. 55, 390–398.
- Vannitsem, S. and Nicolis, C. 1997. Lyapunov vectors and error growth patterns in a T21L3 quasigeostrophic model. J. Atmos. Sc i. 54, 357–361.
- Vastano, J. A. and Moser, R. D. 1991. Short-time Lyapunov exponent analysis and the transition to chaos in Taylor-Couette flow. J. Fluid Mech. 233, 83–118.
- Wei, M. and Frederilcsen, J. S. 2004. Error growth and dynamical vectors during southern hemisphere blocking. Nonlinear Processes Geophys. 11,99–118.
- Wolfe, C. L. and Samelson, R. M. 2006. Normal-mode analysis of a baroclinic wave-mean oscillation. J. Atmos. Sc i. 63, 2795–2812.
- Yoden, S. and Nomura, M. 1993. Finite time lyapunov stability analysis and its application to atmospheric predictability. J. Atmos. Sc i. 50, 1531–1543.