BIFURCATIONS AND SINGULARITIES IN MATHEMATICS AND MECHANICS

Author:

Arnold V.I.

Publisher

Elsevier

Reference38 articles.

1. Poincaré, H., Sur les propriétés des fonctions définies par des équations aux différences partielles. Thése, Paris: Gautier-Villars (1879) 93.

2. Singularities of Stability Boundary;Levantovskii;Funkt. Anal and Appl.,1982

3. Lectures on Bifurcations in Versal Families;Arnold;Russian Math. Surveys,1972

4. Andronov, A.A., Mathematical problems of the selfoscillations theory. Report at the 1931 all-Union conference on oscillations, first published in 1933: I Vsesojusnaia Konferenzia po kolebanijam. M.L. GTTI 1933, pp. 32–72. Reprinted in: Andronov, A.A. Collected Works. Ac. Sc. USSR, M., (1956) 85–124.

5. Study of One System of Differential Equations with Small Parameter at Higher Derivative;Shishkova;Doklady Ac. Sc. USSR,1973

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1. The Phenomenon of Delayed Bifurcation and its Analyses;Multiple-Time-Scale Dynamical Systems;2001

2. Dynamic Bifurcation in Hamiltonian Systems with One Degree of Freedom;SIAM Journal on Applied Mathematics;1995-08

3. Spatiotemporal analysis of complex signals: Theory and applications;Journal of Statistical Physics;1991-08

4. Structural localization phenomena and the dynamical phase-space analogy;Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences;1989-10-09

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