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Dynamics and Complexity of a New 4D Chaotic Laser System
Hayder Natiq1,2, Mohamad Rushdan Md Said1,3,4, Nadia M G Al-Saidi2
1Institute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang 43000, Malaysia.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study introduces a new 4D chaotic laser system. While its complexity can identify multistability, its pseudo-random number generator (PRNG) failed statistical tests for cryptographic use.
Area of Science:
- Nonlinear Dynamics
- Laser Physics
- Chaos Theory
Background:
- Chaotic laser systems are explored for applications like secure communications.
- Multistability, the coexistence of multiple attractors, is a key feature for such applications.
- Understanding system complexity is crucial for harnessing chaotic dynamics.
Purpose of the Study:
- To introduce a novel 4D chaotic laser system derived from Lorenz-Haken equations.
- To analyze the system's dynamics, including equilibria stability and Hopf bifurcations.
- To investigate the system's suitability for cryptographic applications via pseudo-random number generation.
Main Methods:
- Derivation of a new 4D chaotic laser system with two quadratic nonlinearities.
- Analysis of equilibria stability and coexisting multiple Hopf bifurcations.
- Numerical investigation of coexisting attractors and system time series complexity.
- Generation of a pseudo-random number generator (PRNG) based on system complexity.
Main Results:
- The new 4D chaotic laser system exhibits three equilibria and complex coexisting behaviors.
- System complexity analysis successfully located parameters and initial values for coexisting attractors.
- The PRNG generated from multistability regions failed most statistical randomness tests.
Conclusions:
- The novel chaotic laser system demonstrates complex dynamics and multistability.
- System complexity is a viable metric for identifying multistable regions.
- The current PRNG design based on this chaotic laser system is unsuitable for cryptographic applications due to poor randomness.
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