New solutions of the soliton type of shallow water waves and superconductivity models
Results in Physics, 2023 For uni-directional wave transmission in the smooth bottom of shallow sea water and the superconductivity of nonlinear media with dispersion systems, the (1 + 1)-dimensional Camassa-Holm and Landau-Ginzburg-Higgs equations are of particular interest in ...
M. Ali Akbar +4 more
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On the approximation of dynamical indicators in systems with nonuniformly hyperbolic behavior [PDF]
Monatshefte für Mathematik, 2016 Let $f$ be a $C^{1+ }$ diffeomorphism of a compact Riemannian manifold and $ $ an ergodic hyperbolic measure with positive entropy. We prove that for every continuous potential $ $ there exists a sequence of basic sets $ _n$ such that the topological pressure $P(f| _n, )$ converges to the free energy $P_ ( ) = h( ) + \int {d }$.
openaire +2 more sources
Validity of numerical trajectories in the synchronization transition of complex systems [PDF]
, 2003 We investigate the relationship between the loss of synchronization and the onset of shadowing breakdown {\it via} unstable dimension variability in complex systems.
A. M. Batista +31 more
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Gowdy phenomenology in scale-invariant variables [PDF]
, 2003 The dynamics of Gowdy vacuum spacetimes is considered in terms of Hubble-normalized scale-invariant variables, using the timelike area temporal gauge.
Andersson, Lars +2 more
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Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems [PDF]
, 2016 In this paper we introduce a new technique for depicting the phase portrait of stochastic differential equations. Following previous work for deterministic systems, we represent the phase space by means of a generalization of the method of Lagrangian ...
Balibrea-Iniesta, Francisco +3 more
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Computability, Noncomputability, and Hyperbolic Systems [PDF]
, 2011 In this paper we study the computability of the stable and unstable manifolds of a hyperbolic equilibrium point. These manifolds are the essential feature which characterizes a hyperbolic system.
Buescu, Jorge +2 more
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A Novel Autonomous 5-D Hyperjerk RC Circuit with Hyperbolic Sine Function
The Scientific World Journal, 2018 A novel autonomous 5-D hyperjerk RC circuit with hyperbolic sine function is proposed in this paper. Compared to some existing 5-D systems like the 5-D Sprott B system, the 5-D Lorentz, and the Lorentz-like systems, the new system is the simplest 5-D ...
N. Tsafack, J. Kengne
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Spatial dynamics in the family of sixth-order differential equations from the theory of partial formation [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаTopic of the paper. Bounded stationary (i.e. independent in time) spatially one-dimensional solutions of a quasilinear parabolic PDE are studied on the whole real line.
Kulagin, Nikolaj Evgenevich +1 more
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Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology [PDF]
, 2018 In this work we shall investigate the occurrence of future cosmological finite-time singularities in the dynamical system corresponding to two cosmological theories, namely that of vacuum $f(R)$ gravity and that of three fluids. The vacuum $f(R)$ gravity
Odintsov, S. D., Oikonomou, V. K.
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Lagrangian Descriptors: A Method for Revealing Phase Space Structures of General Time Dependent Dynamical Systems [PDF]
, 2013 In this paper we develop new techniques for revealing geometrical structures in phase space that are valid for aperiodically time dependent dynamical systems, which we refer to as Lagrangian descriptors. These quantities are based on the integration, for
Acar +62 more
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