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Chaotic attractor hopping yields logic operations.

K Murali¹, Sudeshna Sinha², Vivek Kohar^3,4

¹Department of Physics, Anna University, Chennai, India.

|December 22, 2018

Summary

This summary is machine-generated.

This study demonstrates reliable logic gates using nonlinear systems that switch between dynamical attractors. Noise can enhance logic operations, generalizing Logical Stochastic Resonance to complex attractors and showing potential for chaos computing applications.

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Area of Science:

Nonlinear Dynamics
Chaos Theory
Information Processing

Background:

Nonlinear systems exhibit switching between dynamical attractors.
Logic operations require reliable state transitions.
Stochastic Resonance typically applies to fixed-point attractors.

Purpose of the Study:

To demonstrate reliable logic gate operations using nonlinear system attractors.
To investigate the role of noise in enhancing logic operation reliability.
To generalize Logical Stochastic Resonance to complex attractors.

Main Methods:

Mapping logic outputs (0/1) to distinct phase space attractors.
Encoding logic inputs via small bias parameters.
Experimental verification using electronic circuits.

Main Results:

Consistent logic gate operation demonstrated through attractor hopping.
Low-amplitude inputs yield amplified logic outputs.
Noise was shown to aid and necessitate reliable outputs in certain regions, generalizing Logical Stochastic Resonance.

Conclusions:

Nonlinear systems can reliably perform logic operations by exploiting attractor switching.
The concept of Logical Stochastic Resonance is extended to periodic and chaotic attractors.
This approach integrates Chaos Computing and Logical Stochastic Resonance, showing broad system applicability.