A new linearized dynamics based on the anti-symmetric part of the stability matrix preserves phase space volume for non-Hamiltonian chaotic systems within a classical density matrix framework.
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application
3 Pith papers cite this work, alongside 773 external citations. Polarity classification is still indexing.
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New proof via Lyapunov exponents that the largest decay rate Γ_max in a d-dimensional quantum master equation satisfies Γ_max ≤ κ_d times the sum of the other d²-1 decay rates, with κ_d depending only on d and the map class.
Target-specific inhibition in E-I recurrent networks creates three dynamical classes: quiescent or asynchronous chaos in balanced cases, and persistent activity with either synchronous chaos or coherent oscillations in excitation-dominated cases, where oscillations suppress chaos.
citing papers explorer
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Phase space volume preserving dynamics for non-Hamiltonian systems
A new linearized dynamics based on the anti-symmetric part of the stability matrix preserves phase space volume for non-Hamiltonian chaotic systems within a classical density matrix framework.
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Universal bound on the Lyapunov spectrum of quantum master equations
New proof via Lyapunov exponents that the largest decay rate Γ_max in a d-dimensional quantum master equation satisfies Γ_max ≤ κ_d times the sum of the other d²-1 decay rates, with κ_d depending only on d and the map class.
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From Chaos to Synchrony in Recurrent Excitatory-Inhibitory Networks with Target-Specific Inhibition
Target-specific inhibition in E-I recurrent networks creates three dynamical classes: quiescent or asynchronous chaos in balanced cases, and persistent activity with either synchronous chaos or coherent oscillations in excitation-dominated cases, where oscillations suppress chaos.