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Deterministic nonlinear systems a short course Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova
Springer Nature - Springer Physics and Astronomy (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- Anishchenko, V. S. (Vadim Semenovich), 1943- author.
- Vadivasova, Tatyana E., author.
- Strelkova, Galina I., author.
- Series:
- Springer series in synergetics 0172-7389
- Springer complexity
- Springer Series in Synergetics 0172-7389
- Language:
- English
- Subjects (All):
- Nonlinear systems.
- Physics.
- Physical Sciences & Mathematics.
- Atomic Physics.
- Nonlinear Dynamics.
- Classical Continuum Physics.
- Vibration, Dynamical Systems, Control.
- Mathematical Applications in the Physical Sciences.
- Local Subjects:
- Physics.
- Physical Sciences & Mathematics.
- Atomic Physics.
- Nonlinear Dynamics.
- Classical Continuum Physics.
- Vibration, Dynamical Systems, Control.
- Mathematical Applications in the Physical Sciences.
- Physical Description:
- 1 online resource
- Place of Publication:
- Cham Springer 2014
- Language Note:
- English
- Summary:
- This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences. Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research
- This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors.䨥 lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences. Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems.Ԩis book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research
- Contents:
- From the Contents: Part I Dynamical Systems
- Stability of Dynamical Systems
- Linear Approach
- Bifurcations of Dynamical Systems
- Dynamical Systems With One Degree of Freedom
- Part II From Order to Chaos: Bifurcation Scenarios
- Robust and Nonrobust Dynamical Systems. Classification of Attractor Types
- Characteristics of Poincare Recurrences
- Fractals in Nonlinear Dynamics
- The Anishchenko-Astakhov Oscillator of Chaotic Self-Sustained Oscillations
- Quasiperiodic Oscillator with Two Independent Frequencies
- Synchronization of Periodic Self-Sustained Oscillations
- Synchronization of Two-Frequency Self-Sustained Oscillations.-Synchronization of Chaotic Oscillations
- References
- Notes:
- Includes bibliographical references
- Online resource; title from PDF title page (SpringerLink, viewed June 30, 2014)
- Other Format:
- Printed edition:
- ISBN:
- 9783319068718
- 3319068717
- 3319068709
- 9783319068701
- OCLC:
- 882091202
- Access Restriction:
- Restricted for use by site license
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