Synopses & Reviews
Synopsis
Part 1. BIFURCATION ANALYSIS
- Analytic integrability of some degenerate centers . Checa, Isabel.
- Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system.
Dom nguez, Cinta.
- Normal forms for a class of tridimensional vector fields with free-divergence in its first component.
Fuentes, Natalia.
- Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system.
Rodr guez-Luis, Alejandro J.
Part 2. WAVE EQUATIONS
- Solitons and vortices in the Nonlinear Dirac Equation. Kevrekedis, Panayotis.
-
; Stochastic Korteweg - de Vries type equations.
Karczewska, Anna.
- Exact and adiabtic invariants of KdV type equations. Rozmej, Piotr.
- Gravitational waves as nonlinear waves and solitons. Villatoro, Francisco R.
Part 3. OTHER DIFFERENTIAL AND DIFFERENCE EQUATIONS
- On the dynamics of the nonlinear logistic difference equation with two delays.
Balibrea-Gallego, Francisco,
- Simplifying singular perturbation theory in the canard regime using piecewise-linear (PWL) systems.
Desroches, Mathieu.
- Principal solutions and variation of constants formula for a class of functional differential equations.
Marot
o, Ismael.
- Diffusion Equations in Inhomogeneous Media from the Master Equation. Salasnich, Luca.
Part 4. COMPUTATIONAL METHODS
- On the numerical approximation to generalized Ostrovsky equations. Dur n, ngel.
Simulation of Laser Dynamics with Cellular Automata: progress and challenges . Guisado, Jos Luis
Synopsis
Presents a unified view of nonlinear properties in several models from different scientific fields
Includes a review of the theoretical state of the art in the study of dynamical systems
Analyzes several currently topical issues in nonlinear science involving, e.g., gravitational waves, laser dynamics, and cellular automata