Results 11 to 20 of about 11,944 (302)
Compensating for imperfections in solvable chaotic oscillators [PDF]
AIP AdvancesWe show a method to compensate for a class of implementation imperfections in a solvable chaotic oscillator while maintaining an analytic solution. We demonstrate the method by compensating for propagation delay in an electronic circuit realization of ...
Micah P. Tseng +3 more
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Symmetric nonlinear solvable system of difference equations [PDF]
Electronic Journal of Qualitative Theory of Differential EquationsWe show the theoretical solvability of the system of difference equations $$x_{n+k}=\frac{y_{n+l}y_n-cd}{y_{n+l}+y_n-c-d},\quad y_{n+k}=\frac{x_{n+l}x_n-cd}{x_{n+l}+x_n-c-d},\quad n\in\mathbb{N}_0,$$ where $k\in\mathbb{N}$, $l\in\mathbb{N}_0 ...
Stevo Stevic +2 more
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Solvable Dynamics in a System of Interacting Random Tops [PDF]
Physical Review Letters, 1998 In this letter a new solvable model of synchronization dynamics is introduced. It consists of a system of long range interacting tops with random precession frequencies. The model allows for an explicit study of orientational effects in synchronized phenomena.
Ritort, F., Ritort Farran, Fèlix
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Exactly Solvable Model of a System with a Non-Conserved Number of Particles
AxiomsAn exactly solvable, one-component model originating from a unitary scenario of spontaneous particle production in curved spacetimes is proposed. The properties of such a system with a time-independent and a time-dependent Hamiltonian are discussed.
Andrzej Radosz +3 more
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Solvable product-type system of difference equations of second order
Electronic Journal of Differential Equations, 2015 We show that the system of difference equations $$ z_{n+1}=\frac{w_n^a}{z_{n-1}^b},\quad w_{n+1}=\frac{z_n^c}{w_{n-1}^d},\quad n\in\mathbb{N}_0, $$ where $a,b,c,d\in\mathbb{Z}$, and initial values $z_{-1}, z_0, w_{-1}, w_0\in\mathbb{C}$, is ...
Stevo Stevic +3 more
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Solvable Nonlinear Evolution PDEs in Multidimensional Space
Symmetry, Integrability and Geometry: Methods and Applications, 2006 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type.
Francesco Calogero, Matteo Sommacal
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Symplectic Singularities and Solvable Hamiltonian Mappings
Demonstratio Mathematica, 2015 We study singularities of smooth mappings F̄ of ℝ2n into symplectic space (ℝ2n , ω̇) by their isotropic liftings to the corresponding symplectic tangent bundle (Tℝ2n,w). Using the notion of local solvability of lifting as a generalized Hamiltonian system,
Fukuda Takuo, Janeczko Stanislaw
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Entropy Production in Exactly Solvable Systems [PDF]
Entropy, 2020 The rate of entropy production by a stochastic process quantifies how far it is from thermodynamic equilibrium. Equivalently, entropy production captures the degree to which global detailed balance and time-reversal symmetry are broken. Despite abundant references to entropy production in the literature and its many applications in the study of non ...
Luca Cocconi +4 more
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Solvable Cubic Resonant Systems [PDF]
Communications in Mathematical Physics, 2019 Weakly nonlinear analysis of resonant PDEs in recent literature has generated a number of resonant systems for slow evolution of the normal mode amplitudes that possess remarkable properties. Despite being infinite-dimensional Hamiltonian systems with cubic nonlinearities in the equations of motion, these resonant systems admit special analytic ...
Anxo Biasi, Piotr Bizoń, Oleg Evnin
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On the regulator problem for linear systems over rings and algebras
Open Mathematics, 2021 The regulator problem is solvable for a linear dynamical system Σ\Sigma if and only if Σ\Sigma is both pole assignable and state estimable. In this case, Σ\Sigma is a canonical system (i.e., reachable and observable).
Hermida-Alonso José Ángel +3 more
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