Noise-Induced Trapping at the Boundary between Two Attractors: A Source of 1/ f Spectra in Nonlinear Dynamics

Intermittent transition to turbulence in dissipative dynamical systems

1980 • 1,938 citations

Low-frequency fluctuations in solids:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>noise

1981 • 1,658 citations

Fractal basin boundaries

1985 • 575 citations

Experimental Evidence of Subharmonic Bifurcations, Multistability, and Turbulence in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Q</mml:mi></mml:math>-Switched Gas Laser

1982 • 548 citations

On 1/ f noise and other distributions with long tails

1982 • 406 citations

Accelerated Diffusion in Josephson Junctions and Related Chaotic Systems

1985 • 346 citations

Fractal Basin Boundaries, Long-Lived Chaotic Transients, and Unstable-Unstable Pair Bifurcation

1983 • 292 citations

Anomalous Diffusion in Intermittent Chaotic Systems

1984 • 231 citations

Intermittent Chaos and Low-Frequency Noise in the Driven Damped Pendulum

1985 • 134 citations

Hopping Mechanism Generating<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>Noise in Nonlinear Systems

1982 • 131 citations

Random Walk in a Random Environment and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>Noise

1983 • 130 citations

Generalized multistability and noise-induced jumps in a nonlinear dynamical system

1985 • 121 citations

Functional renormalization-group theory of universal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>noise in dynamical systems

1983 • 110 citations

Chaotic Noise Observed in a Resistively Shunted Self-Resonant Josephson Tunnel Junction

1983 • 77 citations

Chaos and thermal noise in the rf-biased Josephson junction

1985 • 73 citations

Scaling of first passage times for noise induced crises

1984 • 58 citations

Low-frequency phenomena in dynamical systems with many attractors

1984 • 48 citations

Comment on "Hopping Mechanism Generating<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>Noise in Nonlinear Systems"

1983 • 35 citations

Low-frequency hopping phenomena in a nonlinear system with many attractors

1984 • 28 citations

Arecchi and Lisi Respond

1983 • 27 citations

Random walk in a random medium in one dimension

1985 • 24 citations

Comment on "Hopping Mechanism Generating<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:mfrac></mml:math>Noise in Nonlinear Systems"

1983 • 16 citations