A unified frequency framework and resonance-parity initialization scheme maps averaged equilibria to symmetric periodic orbits in the HR3BP and CR3BP, producing bifurcation diagrams that trace orbit families.
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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.
k-contact geometry supplies explicit Hamiltonian descriptions for multiple dissipative PDEs including damped Klein-Gordon, Allen-Cahn, Fisher-KPP, and complex Ginzburg-Landau equations.
Derives an obstruction formula for Poisson and Jacobi structures induced by 2-covariant tensors and recovers the classical brackets in symplectic, locally conformally symplectic, cosymplectic, and contact geometries.
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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.