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[The "near zone" effect in dynamic chaos].

¹International Laser Center, Lomonosov Moscow State University, Vorob'evy Gory, Moscow, 119899 Russia.

|October 19, 2001

Summary

This study analyzed the chaotic Lorentz system, revealing phenomena akin to physical system fluctuations. Minor parameter changes significantly altered the system's behavior, demonstrating sensitivity.

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Area of Science:

Nonlinear dynamics
Chaos theory
Statistical physics

Context:

The Lorentz system, a classic model of deterministic chaos, is investigated.
Fluctuations in physical systems often exhibit complex statistical properties.
Histogram analysis is employed to probe system dynamics.

Purpose:

To compare the dynamics of the Lorentz system with phenomena observed in physical fluctuations.
To investigate the effect of parameter modulation on chaotic system behavior.
To identify and analyze the 'near zone' effect in chaotic dynamics.

Summary:

The study analyzed the chaotic dynamics of the Lorentz system using histogram comparisons.
Results indicate similarities between the system's fluctuations and those in physical systems, including the 'near zone' effect.
Even slight modulation of a single parameter was found to drastically alter system behavior.

Impact:

Provides insights into the statistical behavior of chaotic systems.
Highlights the sensitivity of chaotic dynamics to initial conditions and parameters.
Suggests potential parallels between theoretical chaotic models and real-world physical phenomena.

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