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Oct 24, 2017
Pattern Formation and Solitons

Low-frequency discrete breathers in long-range systems without on-sit…

We propose a new mechanism of long-range coupling to excite low-frequency discrete breathers without the on-site potential. This mechanism is univers…
Aug 28, 2018
Chaotic Dynamics

Collective $1/f$ fluctuation by pseudo-Casimir-invariants

In this study, we propose a universal scenario explaining the $1/f$ fluctuation, including pink noises, in Hamiltonian dynamical systems with many de…
Sep 10, 2012
Numerical Analysis

On Implementation and Evaluation of Inverse Iteration Algorithm with …

A new inverse iteration algorithm that can be used to compute all the eigenvectors of a real symmetric tri-diagonal matrix on parallel computers is d…
Jan 27, 2014
Fluid Dynamics

Dynamical pattern formations in two dimensional fluid and Landau pole…

A phenomenological theory is proposed to analyze the asymptotic dynamics of perturbed inviscid Kolmogorov shear flows in two dimensions. The phase di…
Jun 08, 2017
Mathematical Physics
Exactly Solvable and Integrable Systems

Hypergeometric First Integrals of the Duffing and van der Pol Oscil…

The autonomous Duffing oscillator, and its van der Pol modification, are known to admit time-dependent first integrals for some specific values of pa…
Jan 30, 2009
Disordered Systems and Neural Networks

Hysteresis and complexity in the zero-temperature mean-field RFIM: th…

We study the energy landscape of the soft-spin random field model in the mean-field limit and compute analytically the quenched complexity of the met…
Dec 31, 2012
Data Structures and Algorithms

An Exact Algorithm for TSP in Degree-3 Graphs via Circuit Procedure a…

The paper presents an O^*(1.2312^n)-time and polynomial-space algorithm for the traveling salesman problem in an n-vertex graph with maximum degree 3…
Nov 27, 2016
Data Structures and Algorithms

A Linear-time Algorithm for Integral Multiterminal Flows in Trees

In this paper, we study the problem of finding an integral multiflow which maximizes the sum of flow values between every two terminals in an undirec…
Aug 07, 2017
Economics
Dynamical Systems
Exactly Solvable and Integrable Systems

The phase space structure of the oligopoly dynamical system by means …

We investigate the dynamical complexity of Cournot oligopoly dynamics of three firms by using the qualitative methods of dynamical systems to study t…
Jan 08, 2019
Chaotic Dynamics
Adaptation and Self-Organizing Systems

Classification of bifurcation diagrams in coupled phase-oscillator …

Synchronization among rhythmic elements is modeled by coupled phase-oscillators each of which has the so-called natural frequency. The natural freque…
Nov 05, 2012
Methodology

In this section, we introduce two examples of application of our algorithm. In Subsection 4.1, robust D-optimal designs for approximate polynomial regression with prior information is considered. This model is generalized model considered by [10]. I…

An algorithm for calculating D-optimal designs for polynomial regress…

Optimal designs are required to make efficient statistical experiments. D-optimal designs for some models are calculated by using canonical moments. …
Jan 10, 2017
Statistical Mechanics

Nondivergent and negative susceptibilities around critical points of …

The linear response is investigated in a long-range Hamiltonian system from the view point of dynamics, which is described by the Vlasov equation in …
Mar 20, 2017

Tensor $f(R)$ theory of gravity

I propose an alternative $f(R)$ theory of gravity constructed by applying the function $f$ directly to the Ricci tensor instead of the Ricci scalar. …
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