Stochastic and chaotic relaxation oscillations

Journal Article · Tue Jan 31 23:00:00 EST 1989 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01019783· OSTI ID:5723759

Grasman, J; Roerdink, J B.T.M.

For relaxation oscillators stochastic and chaotic dynamics are investigated. The effect of random perturbations upon the period is computed. For an extended system with additional state variables chaotic behavior can be expected. As an example, the Van der Pol oscillator is changed into a third-order system admitting period doubling and chaos in a certain parameter range. The distinction between chaotic oscillation and oscillation with noise is explored. Return maps, power spectra, and Lyapunov exponents are analyzed for that purpose.

• Research Organization: Centre for Mathematics and Computer Science, Amsterdam (Netherlands)
• OSTI ID: 5723759
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 54:3-4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
DYNAMICS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FLUCTUATIONS
FUNCTIONS
GAUSSIAN PROCESSES
LYAPUNOV METHOD
MATHEMATICAL MANIFOLDS
MECHANICS
NOISE
OSCILLATIONS
OSCILLATORS
PERTURBATION THEORY
RANDOMNESS
RELAXATION
SIGNALS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TRAJECTORIES
VARIATIONS