The concept of nonlinear resonance was associated formerly with the exact resonance between the external periodic field and the eigenfrequency at some energy, or alternatively between partial oscillatory degrees of freedom for a many-dimensional system. It is shown here that for the broad class of systems, the exact resonance is not necessarily needed for the nonlinear resonance to take place. The examples of physical systems are given. The problems of dynamical stochasticity and fluctuational transitions between stable states are discussed.
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