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BIFURCATION AND CHAOS IN SIMPLE DYNAMICAL SYSTEMS
by J Awrejcewicz (Inst. of Applied Mechanics, Poland)
This book presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of the author. Practical examples for mechanical and biomechanical systems are discussed. The use of both numerical and analytical approaches allows for a deeper insight into non-linear dynamical phenomena. The numerical and analytical techniques presented do not require specific mathematical knowledge.
Contents:
- Hopf Bifurcation Problem: An Analytical Approach: One
Parameter Hopf Bifurcation
- Biparameter Hopf Bifurcation
- Bifurcation into Quasiperiodic Torus
- Hopf Bifurcation in Duffing Oscillator
- Hopf Bifurcation in Nonstationary Nonlinear Systems. Bifurcation and Chaos: Numerical Method Based on Solving Boundary Value Problem: Gradual and Sudden Transition to Chaos
- Three Different Routes to Chaos
- Bifurcation of the Oscillations of Vocal Cords. Chaos After Bifurcation of Periodic and Quasiperiodic Orbits: Oscillator with a Static Load and Particular Exciting Force
- Particular van der Pol — Duffing Oscillator
- Oscillator with Delay
Readership: Applied scientists, mechanical engineers, biomechanical engineers and students.
| 136pp |
Pub. date: Oct 1989 |
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