Bifurcation and route-to-chaos analyses for Mathieu–Duffing oscillator by the incremental harmonic balance method

Quantitative universality for a class of nonlinear transformations

Mitchell J. Feigenbaum · Journal of Statistical Physics · 1978 · 3.6K citations

Natural Sciences, Mathematics, Physics +10

Efficient numerical treatment of periodic systems with application to stability problems

Peretz P. Friedmann, C. E. Hammond, Tze‐Hsin Woo · International Journal for Numerical Methods in Engineering · 1977 · 309 citations

Engineering, Aerospace Engineering, Mechanical Engineering +17

Evidence for Universal Chaotic Behavior of a Driven Nonlinear Oscillator

James Testa, José María Herrera Pérez, C. D. Jeffries · Physical Review Letters · 1982 · 300 citations · Full text

Natural Sciences, Physics, Dynamical Systems +11

Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems

S.L. Lau, Y.K. Cheung · Journal of Applied Mechanics · 1981 · 296 citations

Engineering, Mechanical Engineering, Computational Mechanics +16

Application of the incremental harmonic balance method to cubic non-linearity systems

Y.K. Cheung, Songzhuang Chen, S.L. Lau · Journal of Sound and Vibration · 1990 · 239 citations

Natural Sciences, Mathematics, Physics +6