introduction to dynamical systems for students

Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution.. In particular, for the

We show how they apply to the higher index theory for coverings and to flat foliated bundles, and prove an index theorem for C ∗ -dynamical systems associ- ated to actions of compact

T. In this paper we consider one-dimensional two-phase Stefan problems for a class of parabolic equations with nonlinear heat source terms and with nonlinear flux conditions on the

We present a novel approach to study the local and global stability of fam- ilies of one-dimensional discrete dynamical systems, which is especially suitable for difference

Specifically, using compartmental dynamical system theory, we develop energy flow mod- els possessing energy conservation, energy equipartition, temperature equipartition, and

Specifically, using compartmental dynamical system theory, we develop energy flow mod- els possessing energy conservation, energy equipartition, temperature equipartition, and

Review of Lawson homology and related theories Suslin’s Conjecture Correspondences Beilinson’s Theorem More on Suslin’s (strong) conjeture.. An Introduction to Lawson

— Completely integrable systems, Korteweg-de Vries equations, harmonic maps, anti-self-dual connections, twistors theory.... that, in the best cases, these non linear equations