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Conserved Quantities in the Lorenz System
The Lorenz system, a seminal model in chaos theory, is renowned for its complex dynamics and sensitive dependence on initial conditions. This work investigates conserved quantities within the standard Lorenz equations. The system exhibits phase space volume contraction, a characteristic of dissipative systems. Despite the common understanding suggesting an absence of conserved quantities in its typical chaotic parameter regimes, this study demonstrates that the Lorenz system possesses at least …

Conserved Quantities in the Lorenz System
B. A. Toledo
https://arxiv.org/abs/2505.20572 https://arxiv.org/pdf/2505.20572

Conserved Quantities in the Lorenz System
The Lorenz system, a seminal model in chaos theory, is renowned for its complex dynamics and sensitive dependence on initial conditions. This work investigates conserved quantities within the standard Lorenz equations. The system exhibits phase space volume contraction, a characteristic of dissipative systems. Despite the common understanding suggesting an absence of conserved quantities in its typical chaotic parameter regimes, this study demonstrates that the Lorenz system possesses at least …