Theory of Oscillations¶
Andronov, A. A., Vitt, A. A., & Khaikin, S. E. (1937/1949). Theory of Oscillations. Princeton University Press.
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.
- the Soviet nonlinear school via Andronov, Vitt, and Khaikin's 1937 Theory of Oscillations
- 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.
- The comprehensive Soviet nonlinear-oscillation school, led by Andronov, Vitt, and Khaikin
- 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.
- 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.
Verification¶
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Registry ID ref:ebcb02b129d6 · see in the full table