عنوان

Toward analytical chaos in nonlinear systems

عنوان اصلي

Toward analytical chaos in nonlinear systems

محل نشرو پخش و غیره

Chichester, West Sussex

نام ناشر، پخش کننده و غيره

Wiley

تاریخ نشرو بخش و غیره

2014

نام خاص و کميت اثر

x, 258 pages : illustrations ; 25 cm

متن يادداشت

Includes bibliographical references )pages 253-255( and index

متن يادداشت

Albert C.J. Luo, Southern Illinois University, USA

متن يادداشت

Machine generated contents note: Preface Chapter 1 Introduction 1 1.1 Brief history 1 1.2 boook layout 5 Chapter 2 Nonlinear Dynamical Systems 7 2.1 Continuous systems 7 2.2 Equilibrium and stability 01 2.3 Bifurcation and stability switching 02 2.3.1 Stability and switching 12 2.3.2 Bifurcations 23 Chapter 3 An Analytical Method for Periodic Flows 93 3.1 Nonlinear dynamical sysetms 93 3.1.1 Autonomous nonlinear systems 93 3.1.2 Non-autonomous nonlinear systems 15 3.2 Nonlinear vibration systems 55 3.2.1 Free vibration systems 65 3.2.2 Periodically excited vibration systems 07 3.3 Time-delayed nonlinear systems 57 3.3.1 Autonomous time-delayed nonlinear systems 57 3.3.2 Non-authonomous, time-delayed nonlinear systems 59 3.4 Time-delayed nonlinear vibration systems 69 3.4.1 Time-delayed, free vibration systems 69 3.4.2 Periodically excited vibration systems with time-delay 411 Chapter 4 Analytical Periodic to Quasi-periodic Flows 121 4.1 Nonlinear dynamical sysetms 121 4.2 Nonlinear vibration systems 731 4.3 Time-delayed nonlinear systems 741 4.4 Time-delayed, nonlinear vibration systems 061 Chapter 5 Quadratic Nonlinear Oscillators 571 5.1 Period-1 motions 571 5.1.1 Analytical solutions 571 5.1.2 Analytical predictions 081 5.1.3 Numerical illustrations 581 5.2 Period-m motions 191 5.2.1 Analytical solutions 691 5.2.2 Analytical bifurcation trees 002 5.2.3 Numiercal illustrations 581 5.3 Arbitrary periodic forcing 532 Chapter 6 Time-delayed Nonlinear Oscillators 732 6.1 Analytical solutions of period-m moitons 732 6.2 Analytical bifurcation trees 752 6.3 Illustrations of periodic motions 562 References 372 Subject index 772

عنصر شناسه ای

، Differentiable dynamical systems

عنصر شناسه ای

، Nonlinear oscillations

عنصر شناسه ای

، Chaotic behavior in systems

عنصر شناسه ای

، TECHNOLOGY & ENGINEERING / Mechanical

شماره رده

عنصر شناسه اي

Luo, Albert C. J.

کد نقش

AU

عنصر شناسه اي

TI