Linear systems -- Linearization of trajectories -- Invariant manifolds -- Periodic orbits -- Bifurcations and chaos -- Differentiable manifolds -- Lagrangian mechanics -- Hamiltonian mechanics -- Lie groups and rigid body mechanics -- Moving frames and nonholonomic mechanics -- Fiber bundles and nonholonomic mechanics.
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SUMMARY OR ABSTRACT
Text of Note
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer.