# Journal of Dynamics and Differential Equations

Journal of Dynamics and Differential Equations > 1998 > 10 > 1 > 151-188

Journal of Dynamics and Differential Equations > 1998 > 10 > 1 > 189-207

Journal of Dynamics and Differential Equations > 1998 > 10 > 1 > 73-108

Journal of Dynamics and Differential Equations > 1998 > 10 > 1 > 1-35

Journal of Dynamics and Differential Equations > 1998 > 10 > 1 > 37-45

Journal of Dynamics and Differential Equations > 1998 > 10 > 1 > 109-149

Journal of Dynamics and Differential Equations > 1998 > 10 > 1 > 47-72

*n*-gon for

*n*≥ 7. For

*n*≥ 4, there are at least 3 pure imaginary characteristic exponents, each of which has multiplicity = 1, a surprising result that makes it possible to apply the Lyapunov center theorem to verify the existence of some periodic perturbations. For sufficiently large

*n*, when the regular...

Journal of Dynamics and Differential Equations > 1998 > 10 > 2 > 209-257

**A**

_{2}be the set of those energies for which the real projective flow admits an invariant linear measure with square integrable density function. On this set we calculate the directional derivative of the Floquet coefficient and prove the existence of a nontangential limit...

Journal of Dynamics and Differential Equations > 1998 > 10 > 2 > 303-326

Journal of Dynamics and Differential Equations > 1998 > 10 > 2 > 327-346

Journal of Dynamics and Differential Equations > 1998 > 10 > 2 > 259-274

Journal of Dynamics and Differential Equations > 1998 > 10 > 2 > 275-302

*T*) can be continued for all future time. If there exists one solution that is future bounded, then there exists a solution of period

*T*(Theorem 3.4). This is the Massera theorem. To extend the Massera theorem, we assume that there exists a future bounded solution that is also bounded away from a known...

Journal of Dynamics and Differential Equations > 1998 > 10 > 3 > 449-474

*X*(ω) is a compact random set, invariant with respect to a continuously differentiable random dynamical system (RDS) on a separable Hilbert space. It is shown that the Hausdorff dimension dim

_{ H }(

*X*(ω)) is an invariant random variable, and it is bounded by

*d*, provided the RDS contracts

*d*-dimensional volumes exponentially fast. Both exponential decrease of

*d*-volumes as well as the approximation...

Journal of Dynamics and Differential Equations > 1998 > 10 > 3 > 347-377

*L*

^{∞}(Ω) for a degenerate nonlinear diffusion problem with nonlinear flux on the boundary. In order to formulate the equation as a dynamical system, some existence and uniqueness results for weak solutions are proved.

Journal of Dynamics and Differential Equations > 1998 > 10 > 3 > 489-510

Journal of Dynamics and Differential Equations > 1998 > 10 > 3 > 409-424

Journal of Dynamics and Differential Equations > 1998 > 10 > 3 > 475-488

Journal of Dynamics and Differential Equations > 1998 > 10 > 3 > 379-407

Journal of Dynamics and Differential Equations > 1998 > 10 > 3 > 425-448

Journal of Dynamics and Differential Equations > 1998 > 10 > 4 > 605-617