Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
- 1 January 1982
- journal article
- Published by Springer Nature in Journal of Statistical Physics
- Vol. 27 (1) , 171-182
- https://doi.org/10.1007/bf01011745
Abstract
No abstract availableKeywords
This publication has 26 references indexed in Scilit:
- Possible new strange attractors with spiral structureCommunications in Mathematical Physics, 1981
- Intermittent transition to turbulence in dissipative dynamical systemsCommunications in Mathematical Physics, 1980
- On the existence of hysteresis in a transition to chaos after a single bifurcationJournal de Physique Lettres, 1980
- Universal metric properties of bifurcations of endomorphismsJournal of Physics A: General Physics, 1979
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978
- The topological classification of Lorenz attractorsMathematical Proceedings of the Cambridge Philosophical Society, 1978
- A Thermally Excited Non-Linear OscillatorThe Astrophysical Journal, 1966
- Oscillations of a system of disk dynamosMathematical Proceedings of the Cambridge Philosophical Society, 1958
- A Second Order Differential Equation with Singular SolutionsAnnals of Mathematics, 1949
- On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y 2 )y˙ + y = b λk cos(λl + α), k LargeJournal of the London Mathematical Society, 1945