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The dynamics of unidirectionally coupled chaotic Lorenz systems is investigated. It is revealed that chaos is present in the response system regardless of generalized synchronization. The presence of sensitivity is theoretically proved, and…

混沌动力学 · 物理学 2016-10-10 Mehmet Onur Fen

We study the transport dynamics of matter-waves in the presence of disorder and nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice in the absence of atom-atom interaction shows instead a slow…

无序系统与神经网络 · 物理学 2015-02-27 E. Lucioni , B. Deissler , L. Tanzi , G. Roati , M. Modugno , M. Zaccanti , M. Larcher , F. Dalfovo , M. Inguscio , G. Modugno

Collective behaviors of populations of coupled oscillators have attracted much attention in recent years. In this paper, an order parameter approach is proposed to study the low-dimensional dynam- ical mechanism of collective…

适应与自组织系统 · 物理学 2017-01-11 Hongbin Chen , Yuting Sun , Jian Gao , Can Xu , Zhigang Zheng

A multidimensional chaos is generated by a special initial value problem for the non-autonomous impulsive differential equation. The existence of a chaotic attractor is shown, where density of periodic solutions, sensitivity of solutions…

混沌动力学 · 物理学 2008-01-03 M. U. Akhmet

The May--Leonard model was introduced to examine the behavior of three competing populations where rich dynamics, such as limit cycles and nonperiodic cyclic solutions, arise. In this work, we perturb the system by adding the capability of…

动力系统 · 数学 2023-06-21 Gabriela Jaramillo , Lidia Mrad , Tracy L. Stepien

Atmosphere and ocean are coupled via air-sea interactions. The atmospheric conditions fuel the ocean circulation and its variability, but the extent to which ocean processes can affect the atmosphere at decadal time scales remains unclear.…

大气与海洋物理 · 物理学 2021-07-08 Navid C. Constantinou , Andrew McC. Hogg

We propose a conceptual model which generates abrupt climate changes akin to Dansgaard-Oeschger events. In the model these abrupt climate changes are not triggered by external perturbations but rather emerge in a dynamic self-consistent…

大气与海洋物理 · 物理学 2020-12-02 Georg A. Gottwald

A scalar model of wet active matter in the presence of an imposed temperature gradient, or chemical potential gradient, is considered. It is shown that there is a convective instability driven by a (negative) activity parameter. In this…

软凝聚态物质 · 物理学 2019-03-06 T. R. Kirkpatrick , J. K. Bhattacherjee

The low solar atmosphere is composed of mostly neutral particles, but the importance of the magnetic field for understanding observed dynamics means that interactions between charged and neutral particles play a very important role in…

太阳与恒星天体物理 · 物理学 2023-02-16 Andrew Hillier , Ben Snow

The aim of this paper is to numerically investigate the orbital dynamics of the circular planar restricted problem of five bodies. By numerically integrating several large sets of initial conditions of orbits we classify them into three…

混沌动力学 · 物理学 2019-04-09 Euaggelos E. Zotos , K. E. Papadakis

We study an alloy system where short-ranged, thermally-driven diffusion competes with externally imposed, finite-ranged, athermal atomic exchanges, as is the case in alloys under irradiation. Using a Cahn-Hilliard-type approach, we show…

材料科学 · 物理学 2007-05-23 Raul A. Enrique , Pascal Bellon

We analyze stability of a system which contains an harmonic oscillator non-linearly coupled to its second harmonic, in the presence of a driving force. It is found that there always exists a critical amplitude of the driving force above…

chao-dyn · 物理学 2009-10-31 I. M. Khalatnikov , M. Kroyter

The peculiar phase-ordering properties of a lattice of coupled chaotic maps studied recently (A. Lema\^\i tre & H. Chat\'e, {\em Phys. Rev. Lett.} {\bf 82}, 1140 (1999)) are revisited with the help of detailed investigations of interface…

统计力学 · 物理学 2016-08-15 Julien Kockelkoren , Anaël Lemaître , Hugues Chaté

We study the coherence dynamics of a kicked two-mode Bose-Hubbard model starting with an arbitrary coherent spin preparation. For preparations in the chaotic regions of phase-space we find a generic behavior with Flouquet participation…

量子气体 · 物理学 2013-01-22 Christine Khripkov , Doron Cohen , Amichay Vardi

Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be governed by complex fluctuations. Indeed, experimental and field…

In this work, we uncover a layered organization of the state space in the Kuramoto-Sivashinsky equation with periodic boundary conditions, in which multiple invariant sets coexist at fixed system parameters and are selected by the initial…

混沌动力学 · 物理学 2026-03-11 Alessandro Barone

Chaotic multiscale dynamical systems are common in many areas of science, one of the examples being the interaction of the low-frequency dynamics in the atmosphere with the fast turbulent weather dynamics. One of the key questions about…

动力系统 · 数学 2016-04-08 Rafail V. Abramov

The chaotic properties of Newton-Leipnik system are discussed from the view point of strange attractors. Previously, two strange attractors of this system were illustrated which occured from two different initial conditions under the same…

混沌动力学 · 物理学 2007-05-23 Biswambhar Rakshit , Papri Saha , A. Roy Chowdhury

We prove the holding of chaos in the sense of Li-Yorke for a family of four-dimensional discrete dynamical systems that are naturally associated to ODE systems describing coupled oscillators subject to an external non-conservative force,…

混沌动力学 · 物理学 2026-02-18 Stefano Disca , Vincenzo Coscia

In this letter, we report a numerical study on the collective dynamics of two mutually coupled Thomas oscillators with linear/nonlinear coupling in a dynamic environment. We claim our model calculations can explain the diffusion of…

混沌动力学 · 物理学 2022-07-13 Vinesh Vijayan , Biplab Ganguli