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Symmetry property of the Lyapunov spectra of a class of dissipative dynamical systems with viscous damping

1988; American Institute of Physics; Volume: 38; Issue: 4 Linguagem: Inglês

10.1103/physreva.38.2103

0556-2791

U. Dressler,

Quantum chaos and dynamical systems

It is shown that the Lyapunov spectra of a class of dissipative dynamical systems with viscous damping are symmetric with respect to a constant determined by the dissipation of the system. A property of the associated linearized flow similar to the symplectic property is established. Furthermore, numerical computations of the characteristic exponents of 15 coupled damped Duffing oscillators driven by a van der Pol oscillator are presented.