Presentations Masafumi Oizumi FQXi oizumi

The key point is the concept of a Hamiltonian system, which, contrary to the usual approach, is not re- lated with a single Lagrangian, but rather with an Euler–Lagrange form

Some motivating factors come from the general system theory [8, 18]; one illustrating example below is based on the concept of a general time system. In this connection in [5, 6]

In order to be able to apply the Cartan–K¨ ahler theorem to prove existence of solutions in the real-analytic category, one needs a stronger result than Proposition 2.3; one needs

[2])) and will not be repeated here. As had been mentioned there, the only feasible way in which the problem of a system of charged particles and, in particular, of ionic solutions

Tsutsumi, Uniqueness of solutions for the generalized Korteweg-de Vries equation, SIAM J.. Hormander, Linear Partial Differential Operators, Springer.Verlag, Berlin/Heidelberg/New

The Cauchy problem for the Laplace equation and for other elliptic equations is in general ill-posed in the sense that the solution, if it exists, does not depend con- tinuously on

We mentioned in Section 1 that in our models, the birth and death rates of individuals depend on the population density in such a way that they induce an equilibrating

The set of valid moves gives rise to an asynchronous discrete dynamical system, called the lit-only σ-game on G, and the dynamical behavior of this system is captured by its phase