Melnikov's vector - a ``Measure of chaos

DOI10.1016/0034-4877(91)90026-JzbMath0761.58048OpenAlexW2089664200MaRDI QIDQ1201387

Wolfgang Haidegger

Publication date: 17 January 1993

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(91)90026-j

zbMATH Keywords

heteroclinic cyclehomoclinic trajectorySmale horseshoe

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• Unnamed Item
• Feedback stabilization of the nonlinear pendulum under uncertainty: A robustness issue
• Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978
• Global bifurcations and chaos. Analytical methods
• Melnikov's method and averaging
• Simultaneous equilibrium and heteroclinic bifurcation of planar vector fields via the Melnikov integral
• Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets
• Averaging methods in nonlinear dynamical systems

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