Results 11 to 20 of about 20,660 (272)
GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM [PDF]
Mathematical Models and Methods in Applied Sciences, 2009 The Penrose–Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved. Differently from preceding contributions, here the energy balance equation is both singular at 0 and degenerate at ∞.
Schimperna, Giulio
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Open sets of Axiom A flows with exponentially mixing attractors [PDF]
Proceedings of the American Mathematical Society, 2016 For any dimension d ≥ 3 d\geq 3 we construct C 1 \mathcal {C}^{1} -open subsets of the space of C 3 \mathcal {C}^{3} vector fields such that the flow associated to each vector ...
Ara('u)jo, V. +2 more
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Electronic Journal of Differential Equations, 2018 Under consideration is the damped semilinear wave equation $$ u_{tt}+u_t-\Delta u+u+f(u)=0 $$ in a bounded domain $\Omega$ in $\mathbb{R}^3$ subject to an acoustic boundary condition with a singular perturbation, which we term "massless acoustic ...
Joseph L. Shomberg
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Exponential attractors for random dynamical systems and applications [PDF]
, 2012 The paper is devoted to constructing a random exponential attractor for some classes of stochastic PDE's. We first prove the existence of an exponential attractor for abstract random dynamical systems and study its dependence on a parameter and then ...
Shirikyan, Armen, Zelik, Sergey
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Chaos in fractional order financial model with fractal–fractional derivatives
Partial Differential Equations in Applied Mathematics, 2023 Recently, a new differential operator which combines fractal differentiation and fractional differentiation with different kernels such as power law, exponential decay, and the Mittag–Leffler function has been introduced.
Krunal B. Kachhia
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Coexistence of exponentially many chaotic spin-glass attractors [PDF]
Physical Review E, 2011 A chaotic network of size $N$ with delayed interactions which resembles a pseudo-inverse associative memory neural network is investigated. For a load $ =P/N<1$, where $P$ stands for the number of stored patterns, the chaotic network functions as an associative memory of 2P attractors with macroscopic basin of attractions which decrease with ...
Peleg, Y. +3 more
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Cosmological Attractors from $\alpha$-Scale Supergravity [PDF]
, 2015 The Planck value of the spectral index can be interpreted as $n_s = 1 - 2/N$ in terms of the number of e-foldings $N$. An appealing explanation for this phenomenological observation is provided by $\alpha$-attractors: the inflationary predictions of ...
Roest, Diederik, Scalisi, Marco
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Robust exponential attractors for a parabolic–hyperbolic phase-field system
Boundary Value Problems, 2018 In this paper, we construct a robust family of exponential attractors for a parabolic–hyperbolic phase-field system (PHPFS), which describes phase separation in material sciences, e.g., melting and solidification.
Cyril D. Enyi
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Exponential Potentials and Attractor Solution of Dilatonic Cosmology [PDF]
International Journal of Theoretical Physics, 2007 We present the scalar-tensor gravitational theory with an exponential potential in which pauli metric is regarded as the physical space-time metric. We show that it is essentially equivalent to coupled quintessence(CQ) model. However for baryotropic fluid being radiation there are in fact no coupling between dilatonic scalar field and radiation.
Fang, Wei, Lu, H. Q., Huang, Z. G.
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Existence and smoothness of the stable foliation for sectional hyperbolic attractors [PDF]
, 2017 We prove the existence of a contracting invariant topological foliation in a full neighborhood for partially hyperbolic attractors. Under certain bunching conditions it can then be shown that this stable foliation is smooth.
Araújo, V., Melbourne, I.
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