Theory of Oscillations

Andronov, A. A., Vitt, A. A., & Khaikin, S. E. (1949). Theory of Oscillations. Princeton University Press.

Type

Book

Intellectual base

Review or monograph

Year

1949

Link

https://archive.org/details/theoryofoscillat0000andrmatched

Cited from

physics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Instability
  • the Soviet nonlinear school via Andronov, Vitt, and Khaikin's 1937 Theory of Oscillations

    This sourceComprehensive treatment of the Soviet nonlinear-dynamics school; classifies bifurcations (saddle-node, transcritical, pitchfork, Hopf) and their phenomenology; establishes the language of dynamical systems and perturbation theory.

• Oscillation
  • The comprehensive Soviet nonlinear-oscillation school, led by Andronov, Vitt, and Khaikin

    This sourceComprehensive mathematical treatment of nonlinear oscillations, bifurcations, stability analysis, and limit cycles from the Soviet qualitative-dynamics school; establishes phase-plane methods and structural stability as tools for understanding global oscillator behavior.

• Perturbation
  • perturbative QED and QCD; planetary-motion perturbation theory; celestial mechanics; stability analysis in fluid dynamics. Mathematics Regular and singular perturbation theory; matched asymptotic expansions; multiple-scale analysis; boundary-layer theory.

    This sourceComprehensive treatment of perturbations in oscillating systems; develops methods for analyzing small perturbations to periodic orbits; establishes perturbation methods as essential tools in nonlinear oscillation and stability analysis.

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