Numerical Continuation Methods for Dynamical Systems Path following and boundary value problems /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Krauskopf, Bernd (Επιμελητής έκδοσης), Osinga, Hinke M. (Επιμελητής έκδοσης), Galán-Vioque, Jorge (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2007.
• Θέματα: Physics.; Dynamics.; Ergodic theory.; Applied mathematics.; Engineering mathematics.; Statistical physics.; Dynamical systems.; Engineering.; Statistical Physics, Dynamical Systems and Complexity.; Dynamical Systems and Ergodic Theory.; Applied and Technical Physics.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Engineering, general.

Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and...

Πίνακας περιεχομένων:

• Lecture Notes on Numerical Analysis of Nonlinear Equations
• Interactive Continuation Tools
• Higher-Dimensional Continuation
• Computing Invariant Manifolds via the Continuation of Orbit Segments
• The Dynamics of SQUIDs and Coupled Pendula
• Global Bifurcation Analysis in Laser Systems
• Numerical Bifurcation Analysis of Electronic Circuits
• Periodic Orbit Continuation in Multiple Time Scale Systems
• Continuation of Periodic Orbits in Symmetric Hamiltonian Systems
• Phase Conditions, Symmetries and PDE Continuation
• Numerical Computation of Coherent Structures
• Continuation and Bifurcation Analysis of Delay Differential Equations.