Railway Vehicle Dynamics

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Railway Vehicle Dynamics a Challenge in
Mathematics and Numerical Analysis
DTU Informatics, The Technical
University of Denmark
Hans True
TRUE Consult
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Fast numerical implicit Routines for sparse
Matrix problems Robust Routines for the
numerical Calculation of Eigenvalues
of high-dimensional linearized nonlinear dynamic
Systems
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Centre Manifold Theorem for sufficiently
smooth Differential-Algebraic dynamic Systems
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Classification of Bifurcations in non-smooth
dynamic Systems i) combined or not with a loss of
Stability ii) Bifurcations of (multi-) periodic
Solutions or Chaos iii) ......... iv)
......... A quantitative Characterization of
chaotic Attractors in non-smooth dynamic
Systems Invariant Subspaces (Manifolds)
in non-smooth dynamic systems
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Transient Chaos
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Hbbills 311
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Fast implicit solvers for stiff Systems Path
following Routines for sufficiently smooth
Differential-algebraic dynamic Systems Path
following Routines for non-smooth Differential-alg
ebraic dynamic Systems
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Mathematical Theory of 'Set-valued'
Functions Algebra, Analysis and Operations
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Methods and numerical Routines to determine
or just find a 'safe' estimate of - the domains
of Attraction in higher dimensional dynamic
Systems
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Thank you for your attention