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Some nonlinear phenomena such as periodic bifurcation, grazing bifurcation, quasi-periodic bifurcation, chaos and its routes to chaos are investigated and the critical parameters are identified.
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Some interesting nonlinear phenomena are displayed, such as the period-doubling bifurcation, the cyclic-fold bifurcation, the period remerging, the period bubbling and chaos.
Numerical results indicate that the proposed model is able to reproduce some complex nonlinear phenomena in pedestrian traffic, such as the formation of congestions and stop-and-go waves.
One can therefore hope to infer information about some complex nonlinear phenomena from the geometrical properties of the attractor or by solving a set of four nonlinear ordinary differential equations describing the system.
Some of the nonlinear phenomena observed under weak electric fields near resonance frequency excitation are the presence of superharmonics in the response spectra and the jump phenomena etc.
Moreover, some significant and interesting nonlinear phenomena can be found for the primary resonance of nano beam.
To investigate different complex nonlinear phenomena of our realistic world, some generalizations of the widely used ((1+1))-dimensional Eq. (1) into a ((2+1))-dimensional one are obtained [2 4].
The nonlinear phenomena which occurred in such fields are often related to some nonlinear wave equations.
Outside of his Michigan activities, Holland became an active member of the Santa Fe Institute in New Mexico, a novel research institution established in 1984 to further the study of nonlinear phenomena.
They are highly nonlinear phenomena.
Nonlinear phenomena are widely encountered in practical engineering applications.
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