Dynamical Systems with Applications using Maple¿

• Κύριος συγγραφέας: Lynch, Stephen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2010.
• Έκδοση: 2.
• Θέματα: Mathematics.; Differential equations.; Applied mathematics.; Engineering mathematics.; Biomathematics.; Statistical physics.; Dynamical systems.; Engineering.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Ordinary Differential Equations.; Genetics and Population Dynamics.; Statistical Physics, Dynamical Systems and Complexity.; Engineering, general.

"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple.&qu...

Πίνακας περιεχομένων:

• A Tutorial Introduction to Maple
• Differential Equations
• Planar Systems
• Interacting Species
• Limit Cycles
• Hamiltonian Systems, Lyapunov Functions, and Stability
• Bifurcation Theory
• Three-Dimensional Autonomous Systems and Chaos
• Poincar#x00E9; Maps and Nonautonomous Systems in the Plane
• Local and Global Bifurcations
• The Second Part of Hilbert#x2019;s Sixteenth Problem
• Linear Discrete Dynamical Systems
• Nonlinear Discrete Dynamical Systems
• Complex Iterative Maps
• Electromagnetic Waves and Optical Resonators
• Fractals and Multifractals
• Chaos Control and Synchronization
• Neural Networks
• Simulation
• Examination-Type Questions
• Solutions to Exercises.