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MAPPING CLASS GROUP DYNAMICS ON SURFACE GROUP REPRESENTATIONS
GROUP DYNAMICS GROUP REPRESENTATIONS
2015/9/29
Deformation spaces Hom(π, G)/G of representations
of the fundamental group π of a surface Σ in a Lie group G admit natural actions of the mapping class group ModΣ, preserving a
Poisson structure. Wh...
Trigonometric simplification of a class of conservative nonlinear oscillators
Nonlinear normal modes Stability Trigonometrification
2015/8/27
Thispaperdealswithaclassofconservative nonlinear oscillators of the form ¨ x(t) + f (x(t)) = 0,where f (x) is analytic. A transformation of time fromt to a new time coordinate τ is defined such that p...
Two Paths to Isochronicity in a Class of One Degree of Freedom Oscillators
Two Paths Isochronicity Class Freedom Oscillators
2015/8/26
We propose a class of problems in nonlinear vibrations re-lated to avoiding undesirable hysteresis and jump phenomena by designingan oscillatorfor whichthe backbone curve is a straight vertical line.