On Non-autonomous Hamiltonian Dynamics, Dual Spaces, and Kinetic Lifts

Authors: Ateşli, Begüm, Esen, Oğul, de León, Manuel, Sardón, Cristina

Subject Terms: Mathematics - Differential Geometry, Mathematical Physics

Access URL: http://arxiv.org/abs/2308.10336

On non-autonomous Hamiltonian dynamics, dual spaces, and kinetic lifts

Authors: Ateşli, Begüm ^{a, ⁎}, Esen, Oğul ^{a, b}, de León, Manuel ^{c, d}, Sardón, Cristina ^e

Source: In Physica D: Nonlinear Phenomena February 2025 472

A Discrete Hamilton--Jacobi Theory for Contact Hamiltonian Dynamics

Authors: Esen, Oğul, Sardón, Cristina, Zajac, Marcin

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/2209.05922

On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory

Authors: Ateşli, Begüm, Esen, Oğul, de León, Manuel, Sardón, Cristina

Subject Terms: Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2205.13329

Implicit Contact Dynamics and Hamilton-Jacobi Theory

Authors: Esen, Oğul, Valcázar, Manuel Lainz, de León, Manuel, Sardón, Cristina

Subject Terms: Mathematics - Symplectic Geometry, Mathematical Physics

Access URL: http://arxiv.org/abs/2109.14921

Time-dependent Hamiltonian mechanics on a locally conformal symplectic manifold

Authors: Ragnisco, Orlando, Sardon, Cristina, Zając, Marcin

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/2104.02636

Matched Pair Analysis of Euler-Poincar\'{e} Flow on Hamiltonian Vector Fields

Authors: Esen, Oğul, Sardón, Cristina, Zajac, Marcin

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/2103.04401

Geometry and solutions of an epidemic SIS model permitting fluctuations and quantization

Authors: Esen, Oğul, Fernández-Saiz, Eduardo, Sardón, Cristina, Zając, Marcin

Subject Terms: Quantitative Biology - Populations and Evolution, Mathematical Physics, Physics - Physics and Society

Access URL: http://arxiv.org/abs/2008.02484

Cauchy data space and multisymplectic formulation of conformal classical field theories

Authors: Esen, Ogul, de León, Manuel, Sardón, Cristina, Zając, Marcin

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/2002.03913

The globalization problem of the Hamilton-DeDonder-Weyl equations on a local $k$-symplectic framework

Authors: Esen, Oğul, de León, Manuel, Sardón, Cristina, Zajac, Marcin

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/1911.05962

Hamilton-Jacobi Formalism on Locally Conformally Symplectic Manifolds

Authors: Esen, Oğul, de León, Manuel, Sardón, Cristina, Zajac, Marcin

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/1910.02016

Plasma in monopole background is not twisted Poisson

Authors: Lainz, Manuel, Sardon, Cristina, Weinstein, Alan

Source: Phys. Rev. D 100, 105016 (2019)

Subject Terms: Mathematical Physics, Mathematics - Symplectic Geometry, Physics - Plasma Physics

Access URL: http://arxiv.org/abs/1908.03986

Implicit contact dynamics and Hamilton-Jacobi theory

Authors: Esen, Oğul, Lainz Valcázar, Manuel, de León, Manuel, Sardón, Cristina

Source: In Differential Geometry and its Applications October 2023 90

Reduction of a Hamilton-Jacobi equation for nonholonomic systems

Authors: Esen, Oğul, de León, Manuel, Morales, Víctor Manuel Jiménez, Sardón, Cristina

Subject Terms: Mathematical Physics, Mathematics - Differential Geometry, 37J05, 35F21, 70H20, 53D12, 37J15, 53D20, 37J60

Access URL: http://arxiv.org/abs/1810.04962

A generalization of a SIS epidemic model with fluctuations

Authors: Esen, Oğul, Fernández‐Saiz, Eduardo, Sardón, Cristina, Zając, Marcin

Source: Mathematical methods in the applied sciences. 45(7):3718-3731

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100150606592.0x000001&indx=1&recIds=ETOCvdc_100150606592.0x000001

Geometric Numerical Methods for Lie Systems and Their Application in Optimal Control.

Authors: Blanco Díaz, Luis¹ (AUTHOR) luis.blanco.diaz@alumnos.upm.es, Sardón, Cristina¹ (AUTHOR) fernando.jimenez.alburquerque@upm.es, Jiménez Alburquerque, Fernando¹ (AUTHOR), de Lucas, Javier² (AUTHOR) javier.de.lucas@fuw.edu.pl

Source: Symmetry (20738994). Jun2023, Vol. 15 Issue 6, p1285. 30p.

Subject Terms: *AUTONOMOUS differential equations, *COST functions, *ORDINARY differential equations, *LIE groups

Time-Dependent Hamiltonian Mechanics on a Locally Conformal Symplectic Manifold.

Authors: Zając, Marcin¹ (AUTHOR) marcin.zajac@fuw.edu.pl, Sardón, Cristina² (AUTHOR), Ragnisco, Orlando³ (AUTHOR)

Source: Symmetry (20738994). Apr2023, Vol. 15 Issue 4, p843. 23p.

Subject Terms: *HAMILTONIAN mechanics, *SYMPLECTIC manifolds, *CANONICAL transformations, *DIFFERENTIAL equations, *HAMILTON-Jacobi equations, *SYMPLECTIC geometry

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A Discrete Hamilton–Jacobi Theory for Contact Hamiltonian Dynamics.

Authors: Esen, Oğul^1,2 (AUTHOR) oesen@gtu.edu.tr, Sardón, Cristina^3,4 (AUTHOR) mariacristina.sardon@upm.es, Zajac, Marcin⁵ (AUTHOR) marcin.zajac@fuw.edu.pl

Source: Mathematics (2227-7390). Aug2024, Vol. 12 Issue 15, p2342. 24p.

Subject Terms: *HAMILTON'S equations, *EQUATIONS

Geometry of the discrete Hamilton–Jacobi equation: applications in optimal control

Authors: de León, Manuel, Sardón, Cristina

Source: In Reports on Mathematical Physics February 2018 81(1):39-63