The concept of self-oscillations and the rise of synergetics ideas in the theory of nonlinear oscillations
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studies in History and Philosophy of Science Part B 33 (2):269-295 (2002)
I take the phrase ''the theory of nonlinear oscillations'' to identify a historical phenomenon. Under this heading a powerful school in Soviet science, L. I. Mandelstam's school, developed its version of what was later called ''nonlinear dynamics''. The theory of nonlinear oscillations was formed around the concept of self-oscillations, which was elaborated by Mandelstam's graduate student A. A. Andronov. This concept determined the paradigm of the theory of nonlinear oscillations as well as its ideology, that is, a set of characteristic ideas which, together with the corresponding examples and analogues, allowed the expansion of the theory into associated areas where it indicated new interesting phenomena and posed new problems. It was the ideology that made possible the broader application of the theory of nonlinear oscillations, whose domain was originally lumped systems, to continuous media and its subsequent progress toward synergetics. In the course of its ideological application, the concept of self-oscillations was greatly extended, became vague and diffuse, and related concepts such as self-waves and self-structures appeared.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Alexander Pechenkin (2009). On the Origin of the Belousov–Zhabotinsky Reaction. Biological Theory 4 (2):196-206.
Similar books and articles
J. Barkley Rosser, Complex Ecologic-Economic Dynamics and Environmental Policy Forthcoming, Ecological Economics.
A. A. Pechenkin (2000). Operationalism as the Philosophy of Soviet Physics: The Philosophical Backgrounds of L. I. Mandelstam and His School. Synthese 124 (3):407-432.
Marius Usher, Jonathan D. Cohen, Henk Haarmann & David Horn (2001). Neural Mechanism for the Magical Number 4: Competitive Interactions and Nonlinear Oscillation. Behavioral and Brain Sciences 24 (1):151-152.
J.-P. Françoise & C. Piquet (2005). Hysteresis Dynamics, Bursting Oscillations and Evolution to Chaotic Regimes. Acta Biotheoretica 53 (4).
Wolfgang Klimesch & Bärbel Schack (2003). Activation of Long-Term Memory by Alpha Oscillations in a Working-Memory Task? Behavioral and Brain Sciences 26 (6):743-743.
Ian J. Kirk (2004). A Possible Role for Non-Gamma Oscillations in Conscious Perception: Implications for Hallucinations in Schizophrenia. Behavioral and Brain Sciences 27 (6):798-798.
Helena Knyazeva (2009). Nonlinear Cobweb of Cognition. Foundations of Science 14 (3):167-179.
Helena Knyazeva (2004). The Complex Nonlinear Thinking: Edgar Morin's Demand of a Reform of Thinking and the Contribution of Synergetics. World Futures 60 (5 & 6):389 – 405.
Bernat Kocsis (2005). On the Relationship Between Rhythmic Firing in the Supramammillary Nucleus and Limbic Theta Rhythm. Behavioral and Brain Sciences 28 (2):210-211.
V. G. Haase & L. F. M. Diniz (1997). Synchronizing Oscillations: Coding by Concurrence and by Sequence. Behavioral and Brain Sciences 20 (4):690-690.
Added to index2009-01-28
Total downloads8 ( #169,856 of 1,100,932 )
Recent downloads (6 months)5 ( #58,761 of 1,100,932 )
How can I increase my downloads?