Dynamics of coupled simplest chaotic two-component electronic circuits and its potential application to random bit...

Area of Science:

• Nonlinear dynamics and chaos theory
• Electronic circuit design
• Information security

Background:

• Chaotic systems offer potential for generating complex signals.
• Existing methods for generating random bit streams can be complex and expensive.
• Simple electronic circuits are desirable for practical applications.

Purpose of the Study:

• To investigate the use of coupled chaotic electronic circuits for generating random bit streams.
• To assess the complexity and randomness of signals produced by these circuits.
• To evaluate the cost-effectiveness and simplicity of the proposed system.

Main Methods:

• Numerical investigation of unidirectionally coupled two-component chaotic oscillators in a ring configuration.
• Extraction of data points at fixed intervals (10 ns) from chaotic signals.
• Conversion of extracted points into 16-bit and 8-bit binary sequences.
• Statistical testing of generated bit streams using NIST randomness tests.

Main Results:

• Coupled chaotic oscillators generate high-complexity chaotic signals.
• Generated bit streams, particularly using the least significant bits, pass NIST randomness tests.
• Achieved bit rates up to 1 Gbit/s (16-bit conversion) or 200 Mbit/s (8-bit conversion).
• Parameter range for complex signal generation was explored by varying bias voltages.

Conclusions:

• Simple, low-cost coupled chaotic electronic circuits can reliably generate random bit streams.
• The proposed method offers a cost-effective and easily implementable alternative to optical and electro-optical systems for random number generation.
• The system's simplicity and low cost make it suitable for various high-frequency applications requiring secure data.