Synchronization and control of chaos : an introduction for scientists and engineers /

Synchronization and control of chaos : an introduction for scientists and engineers /

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Annotation - A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators

Bibliographic Details
Main Authors: González-Miranda, J. M (Jesús Manuel), González-Miranda, J. M (Jesús Manuel)
Format: Book
Language:English
Published: London : Imperial College Press, ©2004
Subjects:
Chaotic behavior in systems
Nonlinear oscillators
SCIENCE > Chaotic Behavior in Systems
Electronic books
Table of Contents:
  • 1. Dynamics of coupled and driven harmonic oscillators. 1.1. The harmonic oscillator. 1.2. Driven and coupled harmonic oscillators. 1.3. Nonlinear oscillators
  • 2. Chaotic oscillators. 2.1. Nonlinear flows and maps. 2.2. Poincaré maps and bifurcation diagrams. 2.3. Lyapunov exponents. 2.4. Power spectra. 2.5. Unstable periodic orbits. 2.6. Time series analysis
  • 3. Periodically driven chaotic oscillators. 3.1. Phase synchronization. 3.2. Chaos suppression
  • 4. Chaotic oscillators driven by chaotic signals. 4.1. Driving schemes. 4.2. Identical systems. 4.3. Non-Identical systems
  • 5. Perturbing chaotic systems to control chaos. 5.1. The OGY method . 5.2. The pyragas method
  • 6. Mutually coupled identical chaotic oscillator. 6.1. Synchronization of two coupled oscillators. 6.2. Dynamics of systems of N> 2 coupled oscillators
  • 7. Mutually coupled non-identical oscillators
  • 7.1. Degrees of chaotic synchronization. 7.2. Observations of synchronization phenomena. 7.3. Systems of N> 2 non-identical oscillators
  • 8. On the dynamics of coupled and driven chaotic oscillators. 8.1. An overview. 8.2. On the scientific and technical applications of synchronization and control
  • 1. Dynamics of coupled and driven harmonic oscillators. 1.1. The harmonic oscillator. 1.2. Driven and coupled harmonic oscillators. 1.3. Nonlinear oscillators
  • 2. Chaotic oscillators. 2.1. Nonlinear flows and maps. 2.2. Poincaré maps and bifurcation diagrams. 2.3. Lyapunov exponents. 2.4. Power spectra. 2.5. Unstable periodic orbits. 2.6. Time series analysis
  • 3. Periodically driven chaotic oscillators. 3.1. Phase synchronization. 3.2. Chaos suppression
  • 4. Chaotic oscillators driven by chaotic signals. 4.1. Driving schemes. 4.2. Identical systems. 4.3. Non-Identical systems
  • 5. Perturbing chaotic systems to control chaos. 5.1. The OGY method . 5.2. The pyragas method
  • 6. Mutually coupled identical chaotic oscillator. 6.1. Synchronization of two coupled oscillators. 6.2. Dynamics of systems of N> 2 coupled oscillators
  • 7. Mutually coupled non-identical oscillators
  • 7.1. Degrees of chaotic synchronization. 7.2. Observations of synchronization phenomena. 7.3. Systems of N> 2 non-identical oscillators
  • 8. On the dynamics of coupled and driven chaotic oscillators. 8.1. An overview. 8.2. On the scientific and technical applications of synchronization and control

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