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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k-contact geometry supplies explicit Hamiltonian descriptions for multiple dissipative PDEs including damped Klein-Gordon, Allen-Cahn, Fisher-KPP, and complex Ginzburg-Landau equations.
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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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A Guide to Applications of $k$-Contact Geometry in Dissipative Field Equations
k-contact geometry supplies explicit Hamiltonian descriptions for multiple dissipative PDEs including damped Klein-Gordon, Allen-Cahn, Fisher-KPP, and complex Ginzburg-Landau equations.