Concept
Lorenz system
Related publications (46)
Higher-order organization of multivariate time series
Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Several methods have been proposed for the analysis of multivar ...
NATURE PORTFOLIO2023Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls
Using a variational method, we prove the existence of heteroclinic solutions for a 6-dimensional system of ordinary differential equations. We derive this system from the classical Benard-Rayleigh problem near the convective instability threshold. The cons ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2023Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method
Tobias Schneider, Sajjad Azimi, Omid Ashtari
Chaotic dynamics in systems ranging from low-dimensional nonlinear differential equations to high-dimensional spatiotemporal systems including fluid turbulence is supported by nonchaotic, exactly recurring time-periodic solutions of the governing equations ...
2022Invariant tori in dissipative hyperchaos
Tobias Schneider, Jeremy Peter Parker
One approach to understand the chaotic dynamics of nonlinear dissipative systems is the study of non-chaotic yet dynamically unstable invariant solutions embedded in the system's chaotic attractor. The significance of zero-dimensional unstable fixed points ...
AIP Publishing2022Spatial Series and Fractal Analysis Associated with Fracture Behaviour of UO2 Ceramic Material
SEM micrographs of the fracture surface for UO2 ceramic materials have been analysed. In this paper, we introduce some algorithms and develop a computer application based on the time-series method. Utilizing the embedding technique of phase space, the attr ...
MDPI2022Level statistics of the one-dimensional ionic Hubbard model
In this paper we analyze the spectral level statistics of the one-dimensional ionic Hubbard model, the Hubbard model with an alternating on-site potential. In particular, we focus on the statistics of the gap ratios between consecutive energy levels. This ...
2022Critical review on bioconversion of winery wastes into value-added products
Edgard Gnansounou, Ranjna Sirohi
Global increase in the human population and life-style changes have led to enormous development in various industries, including beverage industry. Among the innumerable beverage industries, wineries have received increasing attention and consideration due ...
ELSEVIER2020Lorenz Type Behaviors Associated To Fractal-Non-Fractal Transition In The Dynamics Of The Complex Systems
In the framework of Fractal Theory of Motion for the Scale Relativity Theory with arbitrary and constant fractal dimensions, dynamics in complex systems associated to the fractal-non-fractal transition are analyzed. Working with the assumption that these d ...
UNIV POLITEHNICA BUCHAREST, SCI BULL2019Compressive sensing adaptation for polynomial chaos expansions
Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ. Several rotations have been proposed in the literature resulting in adaptations with different convergence properties. In this paper we present a new ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2019The morning commute in urban areas with heterogeneous trip lengths
Nikolaos Geroliminis, Raphael Ali Francis Lamotte
This paper investigates the equilibrium properties of the morning commute problem at the network level with heterogeneous trip lengths. Congestion is modeled with a Macroscopic Fundamental Diagram relating the space-mean speed of a network to the vehicular ...
2018