The Mel’nikov Technique for Highly Dissipative Systems

DOI10.1137/0147015zbMath0629.34043OpenAlexW1967517875MaRDI QIDQ3766119

Fathi M. A. Salam

Publication date: 1987

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0147015

zbMATH Keywords

homoclinic orbitheteroclinic orbitstransversal intersectionhorseshoe chaosMel'nikov techniquehighly damped pendulum

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Probabilistic methods, stochastic differential equations (65C99)

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