Access the full text.
Sign up today, get DeepDyve free for 14 days.
F. Moon (1992)
Chaotic and fractal dynamics
Tien-Yien Li, J. Yorke (1975)
Period Three Implies ChaosAmerican Mathematical Monthly, 82
Hamel
Georg Duffing, Ingenieur: Erzwungene Schwingungen bei veränderlicher Eigenfrequenz und ihre technische Bedeutung. Sammlung Vieweg. Heft 41/42, Braunschweig 1918. VI+134 SZamm-zeitschrift Fur Angewandte Mathematik Und Mechanik, 1
A. Andronov, S. Khaikin, A. Vitt, F. Immirzi, W. Fishwick (1966)
Theory of Oscillators
T. Poston, I. Stewart (1976)
Taylor expansions and catastrophes
John Brandon (1993)
Chaotic Dynamics: Theory and Applications to EconomicsThe Mathematical Gazette, 79
F. Moon (2009)
History of Dynamics of Machines and Mechanisms from Leonardo to Timoshenko
Trefftz (1929)
Vibration Problems in Engineering. By S. Timoshenko, New York, D. Van Nostrand, Inc. 19Z8.Zeitschrift für Elektrochemie und angewandte physikalische Chemie
D'arcy Thompson
On Growth and FormNature, 100
J. Guckenheimer, P. Holmes (1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 42
R. Thom (1977)
Structural stability and morphogenesisPattern Recognit., 8
B. Mandelbrot (1984)
Fractal Geometry of Nature
R. Goodwin (1990)
Chaotic Economic Dynamics
P. Holmes (1990)
Poincaré, celestial mechanics, dynamical-systems theory and “chaos”Physics Reports, 193
I. Kovacic, M. Brennan (2011)
The Duffing Equation: Nonlinear Oscillators and their Behaviour
E. Zeeman, T. Barrett (1978)
Catastrophe Theory: Selected Papers, 1972-1977
B. Mandelbrot, M. Aizenman (1978)
Fractals: Form, Chance and Dimension
J. Thompson, H. Stewart, Rick Turner (2002)
Nonlinear Dynamics and Chaos
S. Britvec (1973)
The stability of elastic systems
C. Hayashi, D. Mook (1987)
Nonlinear oscillations in physical systems
D. Ruelle, F. Takens (1971)
On the nature of turbulenceCommunications in Mathematical Physics, 20
James Gleick, R. Hilborn (1987)
Chaos, Making a New ScienceAmerican Journal of Physics, 56
Y. Ueda, R. Abraham, H. Stewart (1992)
The road to chaos
H. Peitgen, P. Richter (1987)
The Beauty of Fractals1988
D. Turcotte (1992)
Fractals and Chaos in Geology and Geophysics
Stephen Timoshenko
Vibration problems in engineering
F. Stumpers (1960)
Balth. van der Pol's Work on Nonlinear CircuitsIEEE Transactions on Circuits and Systems I-regular Papers, 7
Y. Chao, G. Zipf (1950)
Human Behavior and the Principle of Least Effort: An Introduction to Human EcologyLanguage, 26
E. Lorenz, R. Hilborn (1993)
The essence of chaos
J. Thompson, G. Hunt (1973)
A general theory of elastic stability
J. Thompson, H. Leipholz (1981)
Instabilities and catastrophes in science and engineering
鈴木 増雄 (1980)
A. H. Nayfeh and D. T. Mook: Nonlinear Oscillations, John Wiley, New York and Chichester, 1979, xiv+704ページ, 23.5×16.5cm, 10,150円., 35
B. Mandelbrot (2012)
The Fractalist: Memoir of a Scientific Maverick
B. Pol, H. Bremmer, C. Bouwkamp (1960)
Selected scientific papers
A. Walker, J. Croll (1972)
Elements of structural stability
[We show how the seeds of twentieth century mathematical Chaos Theory grew in the networks associated with the internal combustion engine and radio electronics. We trace the mathematical discoveries of Henri Poincare in France at the beginning of the twentieth century to the fluid mechanics weather models of Edward Lorenz at MIT and electrical circuits of Yoshisuke Ueda in Kyoto a half-century later. This example was chosen because of the author’s close familiarity with chaotic and nonlinear dynamics. This example and the radio network show that the ideas of a network community for innovation go beyond the examples from mechanical science in Chaps. 1–4.]
Published: Nov 15, 2013
Keywords: Chaotic Dynamic; Nonlinear Oscillation; Internal Combustion Engine; Chaos Theory; Catastrophe Theory
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.