| Publication | Date of Publication | Type |
|---|
| On the quest for generalized Hamiltonian descriptions of 3D-flows generated by the curl of a vector potential | 2024-02-20 | Paper |
| A system of billiard and its application to information-theoretic entropy | 2024-01-17 | Paper |
| Bicocycle double cross constructions | 2023-11-16 | Paper |
| Nonlocal Constants of Motions of Equations of Painlevé – Gambier Type and Generalized Sundman Transformation | 2023-09-28 | Paper |
| Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit | 2023-09-27 | Paper |
| Higher-order saddle potentials, nonlinear curl forces, trapping and dynamics | 2023-08-16 | Paper |
| Integrable modulation, curl forces and parametric Kapitza equation with trapping and escaping | 2023-08-09 | Paper |
| Emergence of the Gambier equation in cosmology | 2023-05-15 | Paper |
| $3D$-flows generated by the curl of a vector potential & Maurer-Cartan equations | 2023-03-01 | Paper |
| Sharma-Mittal quantum discord | 2022-11-25 | Paper |
| An information-theoretic entropy related to Ihara \(\zeta\) function and billiard dynamics | 2022-10-22 | Paper |
| Isochronicity conditions and Lagrangian formulations of the Hirota type oscillator equations | 2022-10-20 | Paper |
| Relativistic formulation of noncentral curl force and relativistic Emden-Fowler type equations | 2022-10-11 | Paper |
| Corrigendum to: ``Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches | 2022-08-03 | Paper |
| Symmetry reductions and exact solutions of two new generalized negative KdV type equations | 2022-06-28 | Paper |
| Lax representation and a quadratic rational first integral for second-order differential equations with cubic nonlinearity | 2022-06-13 | Paper |
| Non-holonomic and quasi-integrable deformations of the AB equations | 2022-03-10 | Paper |
| Generalized Emden-Fowler equations related to constant curvature surfaces and noncentral curl forces | 2021-10-19 | Paper |
| A two-parameter entropy and its fundamental properties | 2021-10-14 | Paper |
| On Coupled Delayed Van der Pol-Duffing Oscillators | 2021-09-08 | Paper |
| Regularization of central forces with damping in two and three-dimensions | 2021-06-22 | Paper |
| On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D | 2021-05-27 | Paper |
| Analysis and comparative study of non-holonomic and quasi-integrable deformations of the nonlinear Schrödinger equation | 2021-05-03 | Paper |
| On Quasi-integrable Deformation Scheme of The KdV System | 2021-02-19 | Paper |
| Application of regularization maps to quantum mechanical systems in 2 and 3 dimensions | 2021-02-12 | Paper |
| On Geometrical Couplings of Dissipation and Curl Forces | 2021-01-28 | Paper |
| Non-holonomic and Quasi-integrable deformations of the AB Equations | 2020-08-13 | Paper |
| Generalized Emden-Fowler equations in noncentral curl forces and first integrals | 2020-06-24 | Paper |
| A Study of Nonholonomic Deformations of Nonlocal Integrable Systems Belonging to the Nonlinear Schrödinger Family | 2020-06-09 | Paper |
| Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect | 2020-03-05 | Paper |
| Hamiltonian description of nonlinear curl forces from cofactor systems | 2020-01-08 | Paper |
| Construction of the classical time crystal Lagrangians from Sisyphus dynamics and duality description with the Li\'enard type equation | 2019-11-25 | Paper |
| Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type | 2019-10-17 | Paper |
| Reduction and Hamiltonian aspects of a model for virus-tumour interaction in oncolytic virotherapy | 2019-09-17 | Paper |
| Nonlocal transformations of the generalized Liénard type equations and dissipative Ermakov-Milne-Pinney systems | 2019-09-13 | Paper |
| Nonstandard Hamiltonian structures of the Liénard equation and contact geometry | 2019-09-13 | Paper |
| Contiguity relations for linearisable systems of Gambier type | 2019-08-29 | Paper |
| Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties | 2019-08-29 | Paper |
| Elements of Generalized Tsallis Relative Entropy in Classical Information Theory | 2019-08-05 | Paper |
| The role of the Jacobi last multiplier in nonholonomic systems and locally conformal symplectic structure | 2019-07-11 | Paper |
| Ihara Zeta Entropy | 2019-06-06 | Paper |
| Eisenhart lift and Randers-Finsler formulation for scalar field theory | 2019-05-13 | Paper |
| Hierarchies and Hamiltonian structures of the nonlinear Schrödinger family using geometric and spectral techniques | 2019-05-09 | Paper |
| On the geometry of the Schmidt-Legendre transformation | 2019-03-27 | Paper |
| From Sharma-Mittal to von-Neumann Entropy of a Graph | 2019-02-20 | Paper |
| A note on generalization of the Ermakov–Lewis invariant and its demystification | 2019-02-18 | Paper |
| Generalized conformal Hamiltonian dynamics and the pattern formation equations | 2018-12-12 | Paper |
| Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy | 2018-11-16 | Paper |
| Backlund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models | 2018-09-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4569659 | 2018-06-27 | Paper |
| Monotonicity of the period function of the Liénard equation of second kind | 2018-06-20 | Paper |
| On time-dependent Hamiltonian realizations of planar and nonplanar systems | 2018-04-18 | Paper |
| On a reduction of the generalized Darboux-Halphen system | 2018-03-27 | Paper |
| Geometrical formulation of relativistic mechanics | 2018-03-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4603332 | 2018-02-19 | Paper |
| Jacobi–Maupertuis metric and Kepler equation | 2017-10-20 | Paper |
| An Analytic Technique for the Solutions of Nonlinear Oscillators with Damping Using the Abel Equation | 2017-06-09 | Paper |
| Damped equations of Mathieu type | 2017-06-09 | Paper |
| The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions | 2017-05-30 | Paper |
| On first integrals of second-order ordinary differential equations | 2017-04-28 | Paper |
| \(\lambda\)-symmetries, isochronicity, and integrating factors of nonlinear ordinary differential equations | 2017-04-28 | Paper |
| Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation | 2017-04-11 | Paper |
| Jacobi-Maupertuis-Eisenhart metric and geodesic flows | 2017-04-10 | Paper |
| Inhomogeneous Heisenberg Spin Chain and Quantum Vortex Filament as Non-Holonomically Deformed NLS Systems | 2017-03-07 | Paper |
| Taub-NUT as Bertrand spacetime with magnetic fields | 2017-02-09 | Paper |
| Noetherian symmetries of noncentral forces with drag term | 2017-02-03 | Paper |
| Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems | 2017-01-26 | Paper |
| Schwarzschild instanton in emergent gravity | 2017-01-18 | Paper |
| Quasi-Integrability of The KdV System | 2016-12-22 | Paper |
| Lie symmetries, Lagrangians and Hamiltonian framework of a class of nonlinear nonautonomous equations | 2016-12-21 | Paper |
| Regularization of Kepler problem in κ-spacetime | 2016-12-07 | Paper |
| On Geometry of Schmidt Legendre Transformation | 2016-07-28 | Paper |
| Superintegrable cases of four-dimensional dynamical systems | 2016-06-16 | Paper |
| First integrals of Generalized Darboux-Halphen systems and Membrane Paradigm | 2016-06-09 | Paper |
| Bianchi-IX, Darboux–Halphen and Chazy–Ramanujan | 2016-05-12 | Paper |
| Folding transformations of equations from the Gambier family | 2016-01-26 | Paper |
| Second-degree Painlevé equations and their contiguity relations | 2015-11-10 | Paper |
| Geometrical and Dynamical Aspects of Nonlinear Higher-Order Riccati Systems | 2015-07-02 | Paper |
| Nonholonomic deformation of coupled and supersymmetric KdV equations and Euler–Poincaré–Suslov method | 2015-07-01 | Paper |
| Fradkin-Bacry-Ruegg-Souriau vector in kappa-deformed space-time | 2015-04-08 | Paper |
| MICZ-Kepler systems in noncommutative space and duality of force laws | 2015-02-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5173765 | 2015-02-16 | Paper |
| Regular and singular pulse and front solutions and possible isochronous behavior in the short-pulse equation: phase-plane, multi-infinite series and variational approaches | 2015-01-29 | Paper |
| Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism | 2015-01-20 | Paper |
| A study of two new generalized negative KdV type equations | 2014-05-22 | Paper |
| On commuting vector fields and Darboux functions for planar differential equations | 2013-11-27 | Paper |
| THE JACOBI LAST MULTIPLIER AND ISOCHRONICITY OF LIÉNARD TYPE SYSTEMS | 2013-09-05 | Paper |
| A quasi-Lie schemes approach to second-order Gambier equations | 2013-07-04 | Paper |
| A Lagrangian description of the higher-order Painlevé equations | 2013-07-03 | Paper |
| Quantization of the Liénard II equation and Jacobi’s last multiplier | 2013-05-24 | Paper |
| A generalized non-Hermitian Pais-Uhlenbeck quantum Hamiltonian, its Hermitian equivalence and position-dependent mass correspondence | 2012-12-10 | Paper |
| On the properties of a variant of the Riccati system of equations | 2012-11-08 | Paper |
| On solutions of third and fourth-order time dependent Riccati equations and the generalized Chazy system | 2012-09-13 | Paper |
| A Lagrangian description of the higher-order Painlevé equations | 2012-05-18 | Paper |
| Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs | 2012-05-04 | Paper |
| On dynamics of velocity vector potential in incompressible fluids | 2012-03-05 | Paper |
| Hamiltonization of higher-order nonlinear ordinary differential equations and the Jacobi last multiplier | 2011-11-08 | Paper |
| On Lagrangians and Hamiltonians of some fourth-order nonlinear Kudryashov ODEs | 2011-08-02 | Paper |
| First integrals for time-dependent higher-order Riccati equations by nonholonomic transformation | 2011-07-13 | Paper |
| Dynamical studies of equations from the Gambier family | 2011-06-17 | Paper |
| ON PLANAR AND NON-PLANAR ISOCHRONOUS SYSTEMS AND POISSON STRUCTURES | 2011-01-20 | Paper |
| Polarized Hessian covariant: contribution to pattern formation in the Föppl-von Kármán shell equations | 2010-11-05 | Paper |
| EULER–POINCARÉ FLOWS ON THE LOOP BOTT–VIRASORO GROUP AND SPACE OF TENSOR DENSITIES AND (2 + 1)-DIMENSIONAL INTEGRABLE SYSTEMS | 2010-08-19 | Paper |
| Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method | 2010-08-17 | Paper |
| On isochronous cases of the Cherkas system and Jacobi's last multiplier | 2010-04-29 | Paper |
| On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painlevé-Gambier type | 2010-03-01 | Paper |
| Superconformal Algebras and Supersymmetric Integrable Flows | 2009-12-22 | Paper |
| Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials | 2009-12-15 | Paper |
| Nonholonomic deformation of generalized KdV-type equations | 2009-12-01 | Paper |
| On adjoint symmetry equations, integrating factors and solutions of nonlinear ODEs | 2009-11-24 | Paper |
| Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems | 2009-11-16 | Paper |
| On the Jacobi last multiplier, integrating factors and the Lagrangian formulation of differential equations of the Painlevé-Gambier classification | 2009-11-06 | Paper |
| EXTENDED BOTT–VIRASORO ALGEBRA, SEMIDIRECT PRODUCT, ⋆-LIE ALGEBRA OF DIFFEOMORPHISM AND NONCOMMUTATIVE INTEGRABLE SYSTEMS | 2009-09-22 | Paper |
| Symplectic rectification and isochronous Hamiltonian systems | 2009-06-02 | Paper |
| Solutions of some second order ODEs by the extended Prelle-Singer method and symmetries | 2009-04-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3614633 | 2009-03-09 | Paper |
| Euler-Poincaré Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems | 2009-02-26 | Paper |
| GEODESIC FLOW ON EXTENDED BOTT–VIRASORO GROUP AND GENERALIZED TWO-COMPONENT PEAKON TYPE DUAL SYSTEMS | 2009-02-24 | Paper |
| SUPERSYMMETRIC KUPER CAMASSA–HOLM EQUATION AND GEODESIC FLOW: A NOVEL APPROACH | 2008-09-12 | Paper |
| Hamiltonian and quasi-Hamiltonian systems, Nambu–Poisson structures and symmetries | 2008-09-04 | Paper |
| Quasi-Hamiltonian structure and Hojman construction | 2007-06-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3435449 | 2007-04-26 | Paper |
| Vect(S1) Action on Pseudodifferential Symbols on S1 and (Noncommutative) Hydrodynamic Type Systems | 2007-04-19 | Paper |
| GEODESIC FLOWS, VON NEUMANN EQUATION AND QUANTUM MECHANICS ON NONCOMMUTATIVE CYLINDER | 2007-03-22 | Paper |
| Euler-Poincaré flows on \(\mathrm{sl}_{ n }\) opers and integrability | 2007-03-12 | Paper |
| Generalized forms and vector fields | 2007-02-05 | Paper |
| Noncommutative integrable systems and diffeomorphism on quantum spaces | 2007-02-02 | Paper |
| Metriplectic structure, Leibniz dynamics and dissipative systems | 2007-01-09 | Paper |
| Quadratic Poisson structures and Nambu mechanics | 2006-11-15 | Paper |
| Antiplectic structure, diffeomorphism and generalized KdV family | 2006-09-04 | Paper |
| Euler-Poincaré flows and Leibniz structure of nonlinear reaction-diffusion type systems | 2006-07-20 | Paper |
| Geodesic flow and two (super) component analog of the Camassa-Holm equation | 2006-07-04 | Paper |
| BIDIFFERENTIAL CALCULI, BICOMPLEX STRUCTURE AND ITS APPLICATION TO BIHAMILTONIAN SYSTEMS | 2006-05-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3378747 | 2006-04-04 | Paper |
| SPACE OF HIGHER ORDER DIFFERENTIAL OPERATORS ON S1 AND INTEGRABLE FLOWS | 2005-11-29 | Paper |
| Geodesic flows, bi-Hamiltonian structure and coupled KdV type systems | 2005-09-22 | Paper |
| Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group | 2005-05-25 | Paper |
| Applications of Nambu Mechanics to Systems of Hydrodynamical Type II | 2005-05-09 | Paper |
| STABILIZER ORBIT OF VIRASORO ACTION AND INTEGRABLE SYSTEMS | 2005-05-09 | Paper |
| Moyal Deformation of KdV and Virasoro Action | 2005-04-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4670093 | 2005-04-15 | Paper |
| Geodesic flow on the Bott–Virasoro group and deformed Hunter–Saxton equation | 2005-04-05 | Paper |
| A LINK BETWEEN p-BRANES, NAMBU–POISSON STRUCTURE AND MATROIDS | 2005-03-21 | Paper |
| Geodesic flow on (super-) Bott–Virasoro group and Harry Dym family | 2004-12-15 | Paper |
| AKS hierarchy and bi-Hamiltonian geometry of Gelfand–Zakharevich type | 2004-12-15 | Paper |
| Applications of Nambu mechanics to systems of hydrodynamical type | 2004-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4814566 | 2004-09-07 | Paper |
| Geometry of the Kaup-Newell equation | 2004-01-15 | Paper |
| Moving space curve equations and a family of coupled KdV type systems. | 2004-01-14 | Paper |
| A note on asymptotic helix and quantum mechanical structure | 2003-12-03 | Paper |
| Projective and affine connections on \(S^{1}\) and integrable systems. | 2003-06-18 | Paper |
| Integrable geodesic flows and super polytropic gas equations | 2003-06-18 | Paper |
| Geodesic flows on diffeomorphism groups with Sobolev metrics and integrable systems | 2002-12-15 | Paper |
| Diffeomorphisms on S1, projective structures and integrable systems | 2002-11-24 | Paper |
| Volume Preserving Multidimensional Integrable Systems and NambuPoisson Geometry | 2002-06-23 | Paper |
| GENERALIZED POISSON MECHANICS IN D-BRANES | 2002-01-01 | Paper |
| PROJECTIVE CONNECTIONS, AGD MANIFOLD AND INTEGRABLE SYSTEMS | 2001-08-07 | Paper |
| Diffeomorphism, periodic KdV and C. Neumann system | 2001-07-08 | Paper |
| Integrable geodesic flows on the (super)extension of the Bott-Virasoro group | 2001-04-04 | Paper |
| GEOMETRY OF THE RAYCHAUDHURI EQUATION — PROJECTIVE STRUCTURES AND INTEGRABILITY | 2001-01-14 | Paper |
| \(\text{Diff}(S^1)\) and Adler-Gelfand-Dikii spaces and integrable systems | 2001-01-01 | Paper |
| THE τ FUNCTIONS OF THE AKS HIERARCHY AND TWISTOR CORRESPONDENCE | 2000-12-04 | Paper |
| Quest for Universal Integrable Models | 2000-08-15 | Paper |
| Dispersionless hierarchies, Hamilton-Jacobi theory and twistor correspondences | 1999-10-19 | Paper |
| Local ADHM construction and holomorphic local vector bundles on the twistor space | 1999-08-04 | Paper |
| Adler–Kostant–Symes construction, bi-Hamiltonian manifolds, and KdV equations | 1998-09-07 | Paper |
| Volume preserving multidimensional integrable systems and Nambu-Poisson Geometry | 1998-07-17 | Paper |
| Surface-embeddability approach to the dynamics of the inhomogeneous Heisenberg spin chain | 1997-08-21 | Paper |
| Volume-preserving integrable systems and Nambu - Poisson manifolds | 1997-04-22 | Paper |
| On commuting flows of AKS hierarchy and twistor correspondence | 1996-12-01 | Paper |
| String equations for the unitary matrix model and the periodic flag manifold | 1995-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3353488 | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3353497 | 1990-01-01 | Paper |