Concepedia

Stick-slip chaos detection in coupled oscillators with friction

Jan Awrejcewicz, D. Sendkowski

International Journal of Solids and Structures · 2005 · 49 citations · 12 references

DOI

Concepts

References

12

On the Stability of the Center for Time Periodic Perturbations

V. K. Mel’nikov · Medical Entomology and Zoology · 1963 · 976 citations

, , +12

Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems

Philip Holmes, Jerrold E. Marsden · Journal of Mathematical Physics · 1982 · 209 citations

, , +17

The Existence of Homoclinic Orbits and the Method of Melnikov for Systems in $R^n$

Joseph Gruendler · SIAM Journal on Mathematical Analysis · 1985 · 98 citations

, , +14

MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS

Jan Awrejcewicz, Mariusz M. Holicke · International Journal of Bifurcation and Chaos · 1999 · 67 citations

, , +14

Melnikov method and exponentially small splitting of separatrices

Vassili Gelfreich · Physica D Nonlinear Phenomena · 1997 · 59 citations

, , +11