In this chapter we begin the analysis of dissipative dynamical systems. In contrast to the Hamiltonian systems discussed earlier, these systems compress the phase volume. In dissipative dynamical systems (almost) all trajectories are asymtotically attracted with time to some limit sets of zero volume which are called attractors. Simple attractors are points, lines and (hyper)surfaces in the phase space. However, much more complex strange attractor are also possible.
KeywordsLyapunov Exponent Chaotic Motion Strange Attractor Lorenz System Invariant Torus
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