Nonlinear Systems, Vol. 1

Nonlinear Systems, Vol. 1

Mathematical Theory and Computational Methods

Carmona, Victoriano; Fernandez-Sanchez, Fernando; Cuevas-Maraver, Jesus; Garcia- Medina, Elisabeth

Springer International Publishing AG

09/2018

424

Dura

Inglês

9783319667652

15 a 20 dias

822

Descrição não disponível.
Part 1 - Bifurcation Analysis.- Analytic integrability of some degenerate centers.- Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system.- Normal forms for a class of tridimensional vector fields with free-divergence in its first component.- Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system.- Part 2 - Wave Equations.- Solitons and vortices in the Nonlinear Dirac Equation.- Stochastic Korteweg - de Vries type equations.- Exact and adiabtic invariants of KdV type equations.- Gravitational waves as nonlinear waves and solitons.- Part 3 - Other Differential and Difference Equations.- On the dynamics of the nonlinear logistic difference equation with two delays.- Simplifying singular perturbation theory in the canard regime using piecewise-linear (PWL) systems.- Principal solutions and variation of constants formula for a class of functional differential equations.- Diffusion Equations in Inhomogeneous Media from the Master Equation.- Part 4 - Computational Methods.- On the numerical approximation to generalized Ostrovsky equations.- Simulation of Laser Dynamics with Cellular Automata: progress and challenges.
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Nonlinear Differential and Difference Equations;Normal Forms for Planar Systems;Local and Global Bifurcations;Laser Dynamics;Gravitational Waves;Classical Models in Science;Nonlinear Dirac Equation