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Additive noise in noise-induced nonequilibrium transitions.

A. Zaikin1, J. Kurths

  • 1Institute of Physics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary

Additive noise significantly impacts nonlinear systems, inducing phase transitions and pattern formation. It also modifies doubly stochastic resonance, distinct from conventional stochastic resonance.

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Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Complex systems

Background:

  • Nonlinear systems often exhibit complex behaviors, including transitions far from equilibrium.
  • The role of noise, particularly additive noise, in these transitions is crucial but not fully understood.

Purpose of the Study:

  • To investigate the multifaceted effects of additive noise on nonlinear systems.
  • To elucidate the mechanisms behind noise-induced nonequilibrium transitions and pattern formation.
  • To differentiate doubly stochastic resonance from conventional stochastic resonance.

Main Methods:

  • Analysis of various nonlinear systems.
  • Mathematical modeling of noise-induced phenomena.
  • Comparison of different types of stochastic resonance.

Main Results:

  • Additive noise can induce first- and second-order phase transitions.
  • It can alter on-off intermittency and stabilize oscillations.
  • Additive noise drives pattern formation in the Swift-Hohenberg model.
  • Doubly stochastic resonance is characterized by dual noise influences (multiplicative and additive).

Conclusions:

  • Additive noise plays a nontrivial and diverse role in nonlinear systems.
  • Doubly stochastic resonance presents unique characteristics compared to conventional stochastic resonance.
  • The findings offer insights into pattern formation and resonance phenomena in complex systems.

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