Nonlinear Systems, Vol. 1: Mathematical Theory and Computational Methods

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.

Domínguez, 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.

Rodríguez-Luis, Alejandro J. 

Part 2. WAVE EQUATIONS

·         Solitons and vortices in the Nonlinear Dirac Equation.  Kevrekedis, Panayotis.

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·         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

·         Diffusion Equations in Inhomogeneous Media from the Master Equation.  Salasnich, Luca.

Part 4. COMPUTATIONAL METHODS

·         On the numerical approximation to generalized Ostrovsky equations. Durán, Ángel.

Simulation of Laser Dynamics with Cellular Automata: progress and challenges . Guisado, José Luis