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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Carmona, Victoriano (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Cuevas-Maraver, Jesús (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Fernández-Sánchez, Fernando (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), García- Medina, Elisabeth (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Understanding Complex Systems,
• Θέματα: Statistical physics.; Mathematical physics.; Applied mathematics.; Engineering mathematics.; System theory.; Applications of Nonlinear Dynamics and Chaos Theory.; Mathematical Physics.; Mathematical and Computational Engineering.; Mathematical Applications in the Physical Sciences.; Complex Systems.; Statistical Physics and Dynamical Systems.

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global co...

Πίνακας περιεχομένων:

• 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.