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πŸ“

Analytical Methods in Nonlinear Oscillations

✍ Scribed by Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari


Publisher
Springer Netherlands
Year
2019
Tongue
English
Leaves
296
Series
Solid Mechanics and Its Applications 252
Edition
1st ed.
Category
Library

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✦ Synopsis


This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. With providing real world examples, this book shows the multidisciplinary emergence of nonlinear dynamical systems in a wide range of applications including mechanical and electrical oscillators, micro/nano resonators and sensors, and also modelling of global warming, epidemic diseases, sociology, chemical reactions, biology and ecology.

✦ Table of Contents


Front Matter ....Pages i-xv
Introduction (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 1-27
Classical Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 29-71
Energy Balance Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 73-122
Residual Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 123-150
Semi-inverse and Variational Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 151-195
Integral Based Methods (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 197-247
Nonlinearities in Nano- and Microsystems (Ebrahim Esmailzadeh, Davood Younesian, Hassan Askari)....Pages 249-286

✦ Subjects


Engineering; Vibration, Dynamical Systems, Control; Applications of Nonlinear Dynamics and Chaos Theory; Computational Science and Engineering


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