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Non-Linear Differential Equations and Dynamical Systems (Mathematics and Physics for Science and Technology)

Luis Manuel Braga Da Costa Campos

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Description: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 variablecoefficients. 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 toelectromechanical dynamos. These are examples of dynamical systems with bifurcations that may leadto 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 motionsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Non-Linear Differential Equations and Dynamical Systems (Mathematics and Physics for Science and Technology). To get started finding Non-Linear Differential Equations and Dynamical Systems (Mathematics and Physics for Science and Technology), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0429639619

Description: 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 variablecoefficients. 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 toelectromechanical dynamos. These are examples of dynamical systems with bifurcations that may leadto 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 motionsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Non-Linear Differential Equations and Dynamical Systems (Mathematics and Physics for Science and Technology). To get started finding Non-Linear Differential Equations and Dynamical Systems (Mathematics and Physics for Science and Technology), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Non-Linear Differential Equations and Dynamical Systems (Mathematics and Physics for Science and Technology)

Non-Linear Differential Equations and Dynamical Systems (Mathematics and Physics for Science and Technology)

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