Topological Degree Approach to Bifurcation Problems
by
Fečkan, Michal. author.
Title
:
Topological Degree Approach to Bifurcation Problems
Author
:
Fečkan, Michal. author.
ISBN
:
9781402087240
Personal Author
:
Fečkan, Michal. author.
Physical Description
:
online resource.
Series
:
Topological Fixed Point Theory and Its Applications ; 5
Contents
:
Theoretical Background -- Bifurcation of Periodic Solutions -- Bifurcation of Chaotic Solutions -- Topological Transversality -- Traveling Waves on Lattices -- Periodic Oscillations of Wave Equations -- Topological Degree for Wave Equations.
Abstract
:
Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: non-smooth mechanical systems with dry frictions; weakly coupled oscillators; systems with relay hysteresis; differential equations on infinite lattices of Frenkel-Kontorova and discretized Klein-Gordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations. Precise and complete proofs, together with concrete applications with many stimulating and illustrating examples, make this book valuable to both the applied sciences and mathematical fields, ensuring the book should not only be of interest to mathematicians but to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis.
Subject Term
:
Mathematics.
Global analysis (Mathematics).
Differentiable dynamical systems.
Topology.
Mechanics.
Vibration.
Analysis.
Dynamical Systems and Ergodic Theory.
Vibration, Dynamical Systems, Control.
Added Corporate Author
:
SpringerLink (Online service)
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | E-Book | 502338-1001 | QA299.6 -433 | Online Springer |