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Nonlinear stiffness, Lyapunov exponents, and attractor dimension. (English) Zbl 0949.37014
Summary: The author proposes that stiffness may be defined and quantified for nonlinear systems using Lyapunov exponents, and demonstrates the relationship that exists between stiffness and the fractal dimension of a strange attractor: That stiff chaos is thin chaos.

MSC:
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
37L30 Infinite-dimensional dissipative dynamical systems–attractors and their dimensions, Lyapunov exponents
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