Structure-preserving generalized balanced truncation for nonlinear port-Hamiltonian systems [PDF]
, 2023 In this paper, we introduce the notions of generalized controllability and observability functions for stable continuous-time nonlinear systems. We propose a balanced realization for nonlinear port-Hamiltonian systems in which the generalized energy ...
Sarkar, Arijit; id_orcid +3 more
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Entanglement entropy in quantum spin chains with broken parity number symmetry
SciPost Physics, 2022 Consider a generic quantum spin chain that can be mapped to free quadratic fermions via Jordan-Wigner (JW) transformation. In the presence of arbitrary boundary magnetic fields, this Hamiltonian is no longer a quadratic Hamiltonian after JW ...
Arash Jafarizadeh, M. A. Rajabpour
doaj +1 more source
Controlled Lagrangian and Hamiltonian Systems [PDF]
, 2002 any control systems are mechanical systems. The unique feature of mechanical systems is the notion of energy, which gives much information on the stability of equilibria.
Chang, Dong Eui
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Hamiltonian structure of the Lotka-Volterra equations [PDF]
, 1990 The Lotka-Volterra equations governing predator-prey relations are shown to admit Hamiltonian structure with respect to a generalized Poisson bracket.
Nutku, Y.
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Hamiltonian and Godunov structures of the Grad hierarchy [PDF]
Physical Review E, 2017 The time evolution governed by the Boltzmann kinetic equation is compatible with mechanics and thermodynamics. The former compatibility is mathematically expressed in the Hamiltonian and Godunov structures, the latter in the structure of gradient dynamics guaranteeing the growth of entropy and consequently the approach to equilibrium.
Grmela, Miroslav +4 more
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Construction of discrete-time model for port-controlled Hamiltonian systems with applications [PDF]
, 2006 The issues of constructing a discrete-time model for Hamiltonian systems are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees Hamiltonian conservation ...
Astolfi, A., +4 more
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Hamiltonian Structure and Integrability [PDF]
, 1992 Publisher Summary This chapter discusses the Hamiltonian structure and integrability. The aim is to use harmonic oscillator in a general framework so that they can be carried over to other more complicated system. The chapter introduces some basic notions that describe the connection between symmetries and conserved quantities.
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Hamiltonian Structures of Reductions of the Benney System [PDF]
Communications in Mathematical Physics, 2008 We show how to construct the Hamiltonian structures of any reduction of the Benney chain (dKP) starting from the family of conformal maps associated to it.
Gibbons, J +2 more
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A First Class Constraint Generates Not a Gauge Transformation, But a Bad Physical Change: The Case of Electromagnetism [PDF]
, 2013 In Dirac-Bergmann constrained dynamics, a first-class constraint typically does not _alone_ generate a gauge transformation. By direct calculation it is found that each first-class constraint in Maxwell's theory generates a change in the electric field ...
Pitts, J. Brian, J. Brian Pitts
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Three denials of time in the interpretation of canonical gravity [PDF]
, 2011 The analysis of the temporal structure of canonical general relativity and the connected interpretational questions with regard to the role of time within the theory both rest upon the need to respect the fundamentally dual role of the Hamiltonian ...
Thebault, Karim P Y, Karim P Y Thébault
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