Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 12 of 12 for “"center manifold"”.
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Center Manifold Dynamics in Randomly Coupled Oscillators and in Cochlea
… at least one eigenvalue with zero real part. The center manifold existence theorem guarantees the local existence of an invariant subspace of the activity, known as a center manifold, around nonhyperbolic fixed points. A growing number of theoretical and experimental studies suggest that neural …
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Periodic Delay Effects on Cutting Tool Dynamics
… perturbation is 1:2. Our anaylsis is based on center manifold reduction theory.
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Método da forma normal e suas aplicações em oscilações e estabilidade
… and it is based in the Normal Form Theory and Center Manifold Theory. We derive recursive normalization formulae for the study of some important cases. We also present the results achieved from the solution of some example obtained by programming these formulae. Two theorems allowing …
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Existence of smooth shock profiles for hyperbolic systems with relaxation
… allow the construction of a locally invariant manifold M, where the vector field to this ODE system has a smooth extenstion from a dense subset of M throughout M and the classical center manifold theorem applies. We apply our results to exponentially based moment closure systems.
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Aircraft wing rock dynamics and control
… combining the Multiple Time Scales method, Center Manifold Reduction principle, and bifurcation theory. The technique yields solutions in parametric forms and leads to the separation of fast and slow dynamics, and a great insight into the system behavior. Further, a unified framework for the …
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Hopf bifurcations in magnetoconvection in the presence of sidewalls
… have two reflection symmetries. We use center manifold theory to reduce the partial differential equations to a two-parameter family of four-dimensional ordinary differential equations. We show that two different normal forms are appropriate-ate, depending on the sizes of certain …
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Machine tool chatter suppression using spindle speed variation
… imaginary eigenvalues without resonance. The center manifold and normal form methods are then used to obtain an approximate and simpler four dimensional system. Analysis of this simpler system shows that periodic variations in the delay lead to larger stability boundaries. In [1], the authors …
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Reduction of periodic systems with partial Floquet transforms
… of interest typically form part of a stable "center manifold," the analysis of which prompts linearization around periodic solutions. The linearization produces linear, time periodic partial differential equations. Discretization in the spatial dimension typically produces large scale linear …
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A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves
… (b,λ) â C₁ where 0< b< b₀ are investigated. A center-manifold reduction technique and a normal form analysis are applied to show that for each case the dynamical system can be reduced to a system of ordinary differential equations with finite dimensions. The dominant system for the case (b₀,1) …
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Dynamics and Stability of Parametrically Excited Gyroscopic Systems
… systems with periodically varying delay. The center manifold and normal form methods are used to obtain an approximate and simpler two dimensional system. Analysis of this simpler system shows that periodic variations in the delay may lead to larger stability boundaries. These results are …
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Bifurcations of maps: numerical algorithms and applications
… computed by a combination of parameter-dependent center manifold reduction and asymptotic expressions for the new emanating curves. We implemented new and improved algorithms for the bifurcation analysis of fixed points and periodic orbits of maps in the {\sc Matlab} software package {\sc …
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Analysis of performance and robustness of biological switches: local tools for non-local dynamical phenomena.
Biological switches are frequently encountered in mathematical modeling of biological systems because binary decisions are at the core of many cellular processes. A bistable switch presents two stable steady-states, each of them corresponding to a distinct decision. These two decisions are assumed …