FDA Express

Introducing a unified framework for describing and understanding complex interacting systems common in physics, chemistry, biology, ecology, and the social sciences, this comprehensive overview of dynamic critical phenomena covers the description of systems at thermal equilibrium, quantum systems, and non-equilibrium systems. Powerful mathematical techniques for dealing with complex dynamic systems are carefully introduced, including field-theoretic tools and the perturbative dynamical renormalization group approach, rapidly building up a mathematical toolbox of relevant skills. Heuristic and qualitative arguments outlining the essential theory behind each type of system are introduced at the start of each chapter, alongside real-world numerical and experimental data, firmly linking new mathematical techniques to their practical applications. Each chapter is supported by carefully tailored problems for solution, and comprehensive suggestions for further reading, making this an excellent introduction to critical dynamics for graduate students and researchers across many disciplines within physical and life sciences.

More information on this book can be found by the following link:

http://link.springer.com/chapter/10.1007/3-540-69684-9_7

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Mathematical Methods in Engineering

Nuno Miguel Fonseca Ferreira, Jose Antonio Tenreiro Machado

Book Description

This book presents a careful selection of the contributions presented at the Mathematical Methods in Engineering (MME10) International Symposium, held at the Polytechnic Institute of Coimbra- Engineering Institute of Coimbra (IPC/ISEC), Portugal, October 21-24, 2010.

The volume discusses recent developments about theoretical and applied mathematics toward the solution of engineering problems, thus covering a wide range of topics, such as: Automatic Control, Autonomous Systems, Computer Science, Dynamical Systems and Control, Electronics, Finance and Economics, Fluid Mechanics and Heat Transfer, Fractional Mathematics, Fractional Transforms and Their Applications, Fuzzy Sets and Systems, Image and Signal Analysis, Image Processing, Mechanics, Mechatronics, Motor Control and Human Movement Analysis, Nonlinear Dynamics, Partial Differential Equations, Robotics, Acoustics, Vibration and Control, and Wavelets.

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Journals

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Central European Journal of Physics

Volume 12, Issues 1-2

A quantum version of the classical Szilard engine

Paul Bracken

Coherence-controlled stationary entanglement between two atoms embedded in a bad cavity injected with squeezed vacuum

Xiang-Ping Liao, Jian-Shu Fang, Mao-Fa Fang

Stability characteristic of hypersonic flow over a blunt wedge under freestream pulse wave

Xiaojun Tang, Hongqing Lv, Xiangnan Meng

Cosmological sigma model with non-minimal coupling to the target space

Victor K. Shchigolev

Superdeformed structures and low Ω parity doublet in Ne-S nuclei near neutron drip-line

Shailesh K. Singh, Choudhury R. Praharaj

Spectroscopic properties of the Pr³⁺ ion in TeO₂-WO₃-PbO-La₂O₃ and TeO₂-WO₃-PbO-Lu₂O₃ glasses

Bożena Burtan, Maciej Sitarz, Radosław Lisiecki

Complex lag synchronization of two identical chaotic complex nonlinear systems

Emad E. Mahmoud, Kholod M. Abualnaja

First-principles calculations of structural, electronic and thermal properties of Zn₁₋_xMg_xS ternary alloys

Samia Lamraoui, Rachid Bensalem, Khadidja Hacini

Nonlinear self-adjointness and invariant solutions of a 2D Rossby wave equation

Rodica Cimpoiasu, Radu Constantinescu

The one-dimensional Hulthén potential in the quantum phase space representation

Jerzy Stanek

Time-dependent density functional theory molecular dynamics simulation of doubly charged uracil in gas phase

Pablo López-Tarifa, Marie-Anne Hervé du Penhoat

An alternative solution of diatomic molecules

Özgür Öztemel, Eser Olğar

A Jacobi collocation approximation for nonlinear coupled viscous Burgers’ equation

Eid H. Doha, Ali H. Bhrawy, Mohamed A. Abdelkawy

Einstein equation at singularities

Ovidiu-Cristinel Stoica

Dilepton creation based on an analytic hydrodynamic solution

Máté Csanád, Levente Krizsán

The separation of TM and TE wave in multi-layer metamaterial structure

Lijuan Xia, Guanxia Yu, Qian Wang

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Chaos, Solitons & Fractals

Volume 59

IFC
Page IFC

Multiple synchronization transitions in scale-free neuronal networks with electrical and chemical hybrid synapses
Chen Liu, Jiang Wang, Lin Wang, Haitao Yu, Bin Deng, Xile Wei, Kaiming Tsang, Wailok Chan

Superstable credit cycles and U-sequence
Iryna Sushko, Laura Gardini, Kiminori Matsuyama

Chaotic oscillations in singularly perturbed FitzHugh–Nagumo systems
Peterson T.C. Barbosa, Alberto Saa

Generalized synchronization and coherent structures in spatially extended systems
Lasko Basnarkov, Gregory S. Duane, Ljupco Kocarev

Global stability of an SIR model with two susceptible groups on complex networks
Xinpeng Yuan, Yakui Xue, Maoxing Liu

Other-regarding preference causing ping-pong effect in self-questioning game
Kun Lu, Bin Wu, Ming-chu Li, Zhen Wang

Integrability of and differential–algebraic structures for spatially 1D hydrodynamical systems of Riemann type
Denis Blackmore, Yarema A. Prykarpatsky, Nikolai N. Bogolubov Jr., Anatolij K. Prykarpatski

Analysis of a nonlinear mixed Cournot game with boundedly rational players
Xiaolong Zhu, Weidong Zhu, Lei Yu

General Lax-representation of a new higher-dimensional system: The current-fed membrane
Victor K. Kuetche

Conjugacy classes of weakly mixing systems
Heman Fu, Jincheng Xiong, Huoyun Wang

Evolution of cooperation among game players with non-uniform migration scopes
Chunyan Zhang, Jianlei Zhang, Guangming Xie

Erratum to “A note on uniform convergence and transitivity” [Chaos, Solitons and Fractals 45 (2012) 759–764]
Risong Li, Hongqing Wang

Global stability of a population model
Q. Din

Cyclic organization of stable periodic and chaotic pulsations in Hartley’s oscillator
Joana G. Freire, Jason A.C. Gallas

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Paper Highlight
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Extremal behavior of a coupled continuous time random walk

Rina Schumera, Boris Baeumer, Mark M. Meerschaert

Publication information: Rina Schumera, Boris Baeumer, Mark M. Meerschaert. Extremal behavior of a coupled continuous time random walk. Physica A 390 (2011) 505–511.

http://www.sciencedirect.com/science/article/pii/S0378437110008769

Abstract

Coupled continuous time random walks (CTRWs) model normal and anomalous diffusion of random walkers by taking the sum of random jump lengths dependent on the random waiting times immediately preceding each jump. They are used to simulate diffusionlike processes in econophysics such as stock market fluctuations, where jumps represent financial market microstructure like log returns. In this and many other applications, the magnitude of the largest observations (e.g. a stock market crash) is of considerable importance in quantifying risk. We use a stochastic process called a coupled continuous time random maxima (CTRM) to determine the density governing the maximum jump length of a particle undergoing a CTRW. CTRM are similar to continuous time random walks but track maxima instead of sums. The many ways in which observations can depend on waiting times can produce an equally large number of CTRM governing density shapes. We compare densities governing coupled CTRM with their uncoupled counterparts for three simple observation/wait dependence structures.

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Diffusion and trapping in heterogeneous media: An inhomogeneous continuous time random walk approach

Marco Dentza, Philippe Gouze, Anna Russian, Jalal Dweik, Frederick Delay

Publication information: Marco Dentza, Philippe Gouze, Anna Russian, Jalal Dweik, Frederick Delay. Diffusion and trapping in heterogeneous media: An inhomogeneous continuous time random walk approach. Advances in Water Resources, 49(2012), 13–22.

http://www.sciencedirect.com/science/article/pii/S0309170812002035

Abstract

We study diffusion in a heterogeneous medium that is characterized by spatially varying diffusion properties from a random walk point of view. We show that an inhomogeneous continuous time random walk (CTRW) with a spatially variable exponential transition time distribution solves the spatially discretized heterogeneous diffusion equation. This demonstrates the equivalence of the widely used time-domain random walk (TDRW) scheme and spatially inhomogeneous CTRW and at the same time provides a demonstration of the formal equivalence of the TDRW particle formulation and the heterogeneous diffusion equation. Based on this equivalence, we develop a TDRW method for heterogeneous diffusion under spatially variable multirate mass transfer properties. We discuss the implementation of these schemes and study the diffusion behavior in the presence of traps that are characterized by a truncated power-law trapping time distribution.

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