Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on Smale horseshoes

DOI10.1007/BF02450424zbMath0760.70016OpenAlexW2091281780MaRDI QIDQ1187826

Guangmao Dong, Zhengfan Xu, Zeng-Rong Liu

Publication date: 23 July 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02450424

zbMATH Keywords

stochastic webtwo time-scales

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Hamiltonian system and simplectic geometry in mechanics of composite materials. II: Plane stress problem

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Regular and stochastic motion
• Averaging methods in nonlinear dynamical systems
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