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Titlebook: Bifurcation and Chaos: Analysis, Algorithms, Applications; R. Seydel,F. W. Schneider,H. Troger Book 1991 Springer Basel AG 1991 Eigenvalue

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https://doi.org/10.1007/978-1-4020-4678-0d denote the dual operator corresponding to T: H. → H by T’:H → H.. Since H. is dense in H, we may view H as a subspace of H., and then the scalar product (·,·) on H and the dual pairing <·,·> on H. × H. coincide on H. × H.
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Examples of Boundary Crisis Phenomenon in Structural Dynamics,, or its stable manifold. This collision may result in i) sudden changes in the size of chaotic attractors, ii) sudden appearances of chaotic attractors, or iii) sudden destructions of chaotic attractors along with their basins.
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Lacunary Bifurcation of Multiple Solutions of Nonlinear Eigenvalue Problems,d denote the dual operator corresponding to T: H. → H by T’:H → H.. Since H. is dense in H, we may view H as a subspace of H., and then the scalar product (·,·) on H and the dual pairing <·,·> on H. × H. coincide on H. × H.
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The Effect of Fluctuations on the Transition Behavior of a Nonlinear Chemical Oscillator, small amplitude oscillations changes dramatically as a function of the noise frequency at constant noise amplitude. The simulated behavior is explained on the basis of a bifurcation analysis. The present calculations serve as an interpretation for the dramatic stirring effects observed in the oscillatory chemiluminescence of luminol in a CSTR.
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