Nonlinear Ordinary Differential Equations
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A01=R. Grimshaw
Action Angle Variables
advanced undergraduate textbook
Arbitrary Constants
Asymptotically Stable
Author_R. Grimshaw
bifurcation analysis methods
Bifurcation Points
Category=PBKJ
Characteristic Multiplier
der
Duffing's Equation
duffings
Duffing’s Equation
dynamical systems analysis
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fundamental Matrix
Geometric Multiplicity
harmonic
Hopf Bifurcation
Isolated Critical Point
Limit Cycle
Linearized Stability
Lipschitz Condition
mathematical modeling applications
nonlinear differential equations for scientists
nonlinear stability theory
Ordinary Differential Equations
oscillator
period
Period 2?
Period 2π
periodic
Periodic Function
Periodic Solution
perturbation techniques
pol
Saddle Node Bifurcation
Saddle Points
simple
Simple Harmonic Oscillator
solutions
Spiral Point
Stable Node
Transcritical Bifurcation
Unique Limit Cycle
van
Van Der Pol Equation
Product details
- ISBN 9780849386077
- Weight: 780g
- Dimensions: 178 x 254mm
- Publication Date: 06 Mar 1991
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated.
Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.
