Nonlinear stiffness, Lyapunov exponents, and attractor dimension
نویسندگان
چکیده
منابع مشابه
Nonlinear Stiffness, Lyapunov Exponents, and Attractor Dimension
I propose that stiffness may be defined and quantified for nonlinear systems using Lyapunov exponents, and demonstrate the relationship that exists between stiffness and the fractal dimension of a strange attractor: that stiff chaos is thin chaos. What constitutes a stiff dynamical system? Stiffness is closely related to numerical methods [1]: the signature of stiffness in a problem is that, up...
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A major concept in diierentiable dynamics is the Lyapunov exponents of a given map f. It combines the results of ergodic theory with diierential properties of f. Consider the following two closely related examples which motivate our paper. Let M be a compact surface and f : M ! M a smooth diieomorphism. Let E denote the set of Borel f-invariant ergodic measures on M. Assume that 2 E. Let h() be...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1999
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00793-8