# Lorenz-like systems and classical dynamical equations with memory forcing: an alternate point of view for singling out the origin of chaos.

@article{Festa2002LorenzlikeSA, title={Lorenz-like systems and classical dynamical equations with memory forcing: an alternate point of view for singling out the origin of chaos.}, author={R. Festa and A. Mazzino and D. Vincenzi}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2002}, volume={65 4 Pt 2A}, pages={ 046205 } }

An alternate view for the emergence of chaos in Lorenz-like systems is presented in this paper. For such purpose, the Lorenz problem is reformulated in a classical mechanical form and it turns out to be equivalent to the problem of a damped and forced one-dimensional motion of a particle in a two-well potential, with a forcing term depending on the "memory" of the particle past motion. The dynamics of the original Lorenz system in the proposed particle phase space can then be rewritten in terms… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 27 REFERENCES

Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields

- Mathematics, Physics
- 1983

- 12,550
- PDF