Modeling by Nonlinear Differential Equations: Dissipative and Conservative Processes - Paul Phillipson
- Format: Relié Voir le descriptif
Vous en avez un à vendre ?
Vendez-le-vôtreSoyez informé(e) par e-mail dès l'arrivée de cet article
Créer une alerte prix
- Payez directement sur Rakuten (CB, PayPal, 4xCB...)
- Récupérez le produit directement chez le vendeur
- Rakuten vous rembourse en cas de problème
Gratuit et sans engagement
Félicitations !
Nous sommes heureux de vous compter parmi nos membres du Club Rakuten !
TROUVER UN MAGASIN
Retour
Avis sur Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes de Paul Phillipson Format Relié - Livre
0 avis sur Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes de Paul Phillipson Format Relié - Livre
Les avis publiés font l'objet d'un contrôle automatisé de Rakuten.
Présentation Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes de Paul Phillipson Format Relié
- Livre
Résumé :
This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are nonlinear oscillations, deterministic chaos, solitons, reactiondiffusion-driven chemical pattern formation, neuron dynamics, autocatalysis and molecular evolution. Included is a discussion of processes from the vantage of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions.
Sommaire:
Relaxation Oscillations: Self-Exciting Oscillations Displayed by the van der Pol and Stoker-Haag Equations; Current-Induced Neuron Oscillations; Bistability and Complex Oscillations of Harmonically Forced Relaxation Oscillations; Order and Chaos: Predictions by the Lorentz Equations; Chua Equations and Autocatalytic Networks; Encapsulation of Bifurcation Sequences by Specifically Constructed One-Dimensional Maps; Reaction-Diffusion Dynamics: Pulse-Front Solutions to the Fisher and Related Equations; Diffusion-Driven Spatial Limit Cycles; Turing Mechanism of Chemical Pattern Formation; Solitons: Lattice Dynamics and the Korteweg-deVries Equation; Sine-Gordon Equation; Burgers' Equation; Neuron Pulse Propagation: FitzHugh-Nagumo Equations and Hodgkin-Huxley Equations; Dynamics of Self-Replication and Evolution: Autocatalysis; Selection; Symbiosis and Cooperation; Time Reversal, Dissipation and Conservation: Linear Diffusion as a Stochastic Process: Random Walks; Langevin's Equation; Diffusion as Asymptotic Realization of Newtonian Dynamics; Recurrence Times; Nonlinear Fermi-Pasta-Ulam Model and the Toda Lattice.