Non-Linear Differential Equations and Dynamical Systems (Hardcover)
Language: English
Published by Taylor & Francis Ltd, London, 2019
Series: Book 9 of 9 - Mathematics and Physics for Science and Technology
- Hardcover
- New
Seller: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller
AbeBooks seller since June 22, 2007
Condition: New
£ 231.10
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Hardcover. Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set).The first chapter considers non-linear differential equations of first order, including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials.The second chapter in the book starts with linear oscillators with coefficients varying with time, including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance, amplitude jumps, and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions.Presents general first-order differential equations including non-linear like the Ricatti equationDiscusses differentials of the first or higher order in two or more variablesIncludes discretization of differential equations as finite difference equationsDescribes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methodsExamines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions This the second book of Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set, in the Mathematics and Physics for Science and Technology series. This book considers general first-order differential equations, including non-linear and with variable coefficients. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…
Seller Inventory # 9780367137199
- Title
- Non-Linear Differential Equations and Dynamical Systems (Hardcover)
- Author
- Luis Manuel Braga da Costa Campos
- Publisher
- Taylor & Francis Ltd, London
- Publication year
- 2019
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0367137194
- ISBN 13
- 9780367137199
- Series
- Book 9 of 9: Mathematics and Physics for Science and Technology
Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set).
The first chapter considers non-linear differential equations of first order, including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials.
The second chapter in the book starts with linear oscillators with coefficients varying with time, including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance, amplitude jumps, and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions.
- Presents general first-order differential equations including non-linear like the Ricatti equation
- Discusses differentials of the first or higher order in two or more variables
- Includes discretization of differential equations as finite difference equations
- Describes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methods
- Examines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions
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AussieBookSeller
Truganina, VIC, Australia
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